US7519899B2 - Planar mapping of graphical elements - Google Patents
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- US7519899B2 US7519899B2 US10/935,025 US93502504A US7519899B2 US 7519899 B2 US7519899 B2 US 7519899B2 US 93502504 A US93502504 A US 93502504A US 7519899 B2 US7519899 B2 US 7519899B2
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Definitions
- the present invention generally relates to computing and rendering devices, and more particularly relates to systems and methods that provide planar mapping of graphical elements.
- a variety of rendering devices may be communicatively coupled to a computing device to provide an output for a user.
- a computing device configured as a desktop personal computer (PC) may include a display device (e.g., a monitor) that provides an output for viewing by the user and a printer for printing images to a printable medium which may then be viewed by the user.
- Each rendering device may support different rendering functionality, one to another, such that one provides an output that cannot be rendered as intended by utilizing another.
- a graphics environment for output on a display device may support a concept known as transparency.
- Transparency is used to provide a visual effect in which a graphical element that is rendered using the effect may appear to be transparent or translucent to varying degrees.
- a translucent object when displayed, enables any underlying object and/or background to be seen through the translucent object to varying degrees depending on an amount of transparency that is specified for the translucent object.
- a pixel of the graphical element is to be drawn to a location which does not already contain a pixel.
- the pixel does not affect any other pixel and therefore can be drawn to the location.
- a new pixel is to be drawn to a location having a preexisting pixel.
- traditional printing devices merely overwrite the preexisting pixel using the new pixel. Therefore, when a new graphical element that contains the new pixel is printed using a traditional printer in the second scenario, the new graphical element opaquely covers any preexisting graphical element that was previously provided for output at that location.
- portions of an output file that contain translucent and overlapping graphical elements for output are rasterized to form a rasterized image, such as a bitmap.
- a raster is a grid of individual coordinates that is used to specify a location of each individual pixel in a display.
- a raster image identifies each of the coordinates in the raster and a corresponding color value. Rasterizing a portion of the image file, however, introduces resolution dependency. For example, to display the rasterized image as intended, a printer should have a resolution that generally corresponds to the resolution of the rasterized image.
- Vector images are created through a sequence of mathematical statements that may be utilized to place vector shapes in a two-dimensional space. Therefore, instead of using a storage location for each pixel of a line drawing, a vector image describes a series of points to be connected.
- Planar mapping of graphical elements is described.
- Content with translucent graphical elements is converted into visually equivalent content that avoids using transparency functionality, thereby enabling graphical environments that do not support transparency functionality to output the content as intended. Additionally, rasterization of the translucent graphical elements may be avoided, thereby conserving memory resources.
- a method includes approximating a shape that corresponds to an overlapping portion of at least one graphical element that is translucent with another graphical element.
- a color is computed for the approximated shape from respective colors of each of the graphical elements and the translucence of the at least one graphical element.
- the approximated shape having the computed color is formed into a communication for output to a printer.
- FIG. 1 is an illustration of an environment in an exemplary implementation in which planar rendering may be provided.
- FIG. 2 shows an exemplary system for producing and consuming job information.
- FIG. 3 shows an exemplary schema that can be used to form job information having a structure shown in FIG. 2 .
- FIG. 4 shows an exemplary instantiation of the schema of FIG. 3 .
- FIG. 5 is an illustration in an exemplary implementation showing a converter module of FIG. 1 in greater detail.
- FIG. 6 depicts a translucent overlapping portion of one shape that overlaps an overlapped portion of another shape.
- FIG. 7 shows the overlapping and overlapped portions from FIG. 6 depicted as being layered for output from a side perspective.
- FIG. 8 is an illustration of an exemplary implementation showing an image as intended for printing on a printable medium.
- FIG. 9 is an illustration of an exemplary implementation in which the image of FIG. 8 is represented as a tree having a hierarchical structure.
- FIG. 10 is a flow diagram depicting an exemplary procedure in which a converter module of FIG. 1 implements an algorithm that walks the tree of FIG. 9 to perform planar rendering.
- FIG. 11 is an illustration of an exemplary implementation in which a tree is shown which results from processing the tree of FIG. 9 by the procedure of FIG. 10 .
- FIG. 12 is a flow diagram depicting a procedure in an exemplary implementation in which the converter module of FIG. 1 performs planar rendering on a display list, the result of which provides for output of translucent graphical elements on a printer which does not support transparency functionality.
- FIG. 13 is a flow diagram of a procedure in an exemplary implementation in which a filter converts a file containing graphical elements with transparency functionality.
- FIG. 1 is an illustration of an environment 100 in an exemplary implementation in which planar rendering may be provided.
- Graphics environments may support a technique known as transparency (i.e., transparency functionality) to achieve a visual effect where a graphical element that is rendered using transparency may appear to be transparent or translucent to varying degrees. Therefore, as used in the following discussion, a rendering of a graphical element using the transparency techniques described herein may relate to a graphical element that is transparent or translucent.
- Transparency may be specified a graphical image using a special encoding of color values of elements and their constituting pixels.
- an additional channel called an “alpha channel”.
- the value of this alpha channel i.e., the alpha value
- the alpha value of 0.0 (or 0) is generally utilized to represent a fully transparent pixel
- the alpha value of 1.0 (or 255) is generally utilized to represent a fully opaque pixel.
- the environment 100 of FIG. 1 is illustrated as including a computing device 102 and a plurality of target entities, one of which is illustrated as a display device 104 and another one of which is illustrated as a printer 106 .
- the computing device 102 includes an application 108 which is executable thereon to provide and/or request a translucent graphical element 110 .
- the translucent graphical element 110 is rendered, its corresponding color channels (e.g., RGB or CMYK) are blended with the color channels of any other graphical element it overlaps that has already been rendered.
- alpha blending operates on pixels already provided for output to the destination surface and does not differentiate between pixels based on the originating graphical element that contains the pixels.
- a video adapter 109 may be provided for processing the translucent graphical element 110 for display on a screen 112 of the display device 104 .
- the video adapter 109 includes a frame buffer 114 that stores graphical elements for output to the display device 104 and for display on the screen 112 .
- the alpha blending operation utilizes read access to the frame buffer 114 or destination surface (e.g., the screen 112 ) in order to read back each preexisting pixel's value(s), such as color and alpha values. Read and write access is illustrated between the application 108 , the frame buffer 114 , and the display device 104 through the use of double-ended arrows 116 , 118 .
- the computing device 102 may include a printer adapter 120 that is configured to process the translucent graphical element 110 . for output to the printer 106 .
- the printer adapter 120 may be configured to process the translucent graphical element 110 . for output to the printer 106 .
- the output from the application 108 may be unidirectional through the printer adapter 120 to the printer 106 even though the printer adapter 120 may also include a frame buffer 122 .
- the absence of read access is illustrated between the application 108 , printer adapter 120 , and printer 106 through the use of single-ended arrows 124 , 126 .
- PDLs Page description languages
- a PDL may be thought of as a command set used to transmit graphical elements (along with their positions and attributes) to a printer.
- One method is rasterization of the transparent content. Rasterization, as previously described, is generally considered undesirable because of the significant memory resources utilized to store rasterized portions of an image.
- Planar rendering is described which, in an implementation, limits and/or avoids rasterization of portions of an image. Instead, planar rendering may be utilized to retain an elemental nature of the content and record each graphical element in a display list that is used track of the area covered by each graphical element and its relative z order position, one to another.
- a converter module 128 may be executed to find overlapping areas of the translucent graphical element with any previous graphical elements recorded in a display list 130 .
- the translucent graphical element 110 is added to the display list 130 with its color computed as if it was transparently printed on a printable medium, such as a white surface for white paper.
- the effective color of each previously determined overlapping area is computed according to one or more transparency blending (e.g., alpha blending) algorithms.
- a new graphical element is generated for each overlapping area and recorded in the display list 130 (together with the computed effective color values), according to the z order of the graphical elements. This results in a display list 130 that provides a planar map of graphical elements, where each graphical element has a deterministic color that is independent from any previously included graphical element.
- This display list 130 can then be translated into PDL commands using a printer driver for output to the printer 106 .
- a first section provides a glossary of terms as utilized in instances of this document.
- a second section describes an exemplary system for producing and consuming structured job information that can contain graphical elements that utilize transparency functionality.
- a third section includes illustrations and flow charts describing exemplary procedures which may be implemented utilizing the exemplary system.
- job refers to a task in which one or more actions are performed to process rendering information.
- a print job may entail printing job information that defines one or more documents.
- processing job information can refer to any kind of rendering of such job information, such as printing or displaying such job information.
- processing can refer to distributing the job information to a target destination (with or without modifying it), archiving the job information, or some other form of processing.
- job information refers to any kind of information used to specify the nature of the job, such as the actual information to be rendered, and/or information that defines how the job is to be rendered, and so on.
- a “package” is a logical concept that refers to a collection of job information that comprehensively specifies an entire job.
- the package can contain multiple “parts.”
- a “payload” corresponds to a collection of parts treated as a single unit, and which satisfies certain characteristics. For instance, a package may specify multiple payloads that respectively define different renditions of a single document, and each of these payloads can contain multiple parts (e.g., image resources, font resources, and so forth).
- a document refers to any unit of any kind of information.
- a document may pertain to information created by a text editing application, a spreadsheet processing program, a drawing program, and so on.
- Each document can have multiple associated parts, each of which can itself be considered a component document in its own right.
- a job can specify documents that originate from multiple different sources.
- spool storage represents storage for storing job information implemented using any physical storage medium.
- a device may implement the spool storage using RAM memory.
- the device may implement the spool storage using disk storage, and so on.
- the spool storage may define a single file, a collection of associated files, or some other storage strategy.
- a unit of spool storage (such as a single file) that stores an entire package defining a job is also referred to as a “container.”
- the spool storage can refer to transitory information transmitted via a communication channel and inherently stored on that channel during transport.
- any of the functions described herein can be implemented using software, firmware (e.g., fixed logic circuitry), manual processing, or a combination of these implementations.
- the terms “module,” “functionality,” and “logic” as used herein generally represents software, firmware, or a combination of software and firmware.
- the module, functionality, or logic represents program code that performs specified tasks when executed on a processing device or devices (e.g., CPU or CPUs).
- the program code can be stored in one or more computer readable memory devices.
- the features of the planar rendering strategies described below are platform-independent, meaning that the planar rendering strategies may be implemented on a variety of commercial computing platforms having a variety of processors.
- processors are not limited by the materials from which they are formed or the processing mechanisms employed therein.
- processors may be comprised of semiconductor(s) and/or transistors (e.g., electronic integrated circuits (ICs)).
- processor-executable instructions may be electronically-executable instructions.
- the mechanisms of or for processors, and thus of or for a computing device may include, but are not limited to, quantum computing, optical computing, mechanical computing (e.g., using nanotechnology), and so forth.
- FIG. 2 shows an exemplary system 200 for producing and consuming job information 202 .
- the production of such job information 202 is generally represented by arrow 204
- the consumption of such job information 202 is generally represented by arrow 206 .
- the job information 202 includes a defined structure 208 .
- the structure 208 generally includes a plurality of nodes that are connected together according to a set of established rules. The same general rules apply to the construction of the structure 208 regardless of the application and application platform used to generate the job information 202 .
- the structure 208 uses a hierarchical scheme to connect the nodes together.
- a hierarchical scheme couples the nodes together using parent-child relationships. That is, a “top-most” node defines a so-called root node.
- the root node includes one or more child nodes, and the child nodes, in turn, can include one or more of their own respective child nodes, and so on. If so configured, child nodes can generally inherit properties associated with their respective parent/ancestor nodes.
- the structure 208 is a logical concept that may or may not map to actual parts of a document to be rendered. That is, each node may be considered an object. Certain objects may represent actual parts of a document to be rendered (such as various image resources and font resources). Other objects may not have a one-to-one relationship with parts of the documents to be rendered. These latter types of nodes are therefore analogous to folders in a file hierarchy; that is, the folders may store individual files that contain content that maps to actual parts of the document, but the folders themselves may not have a one-to-one relationship with actual parts of the document.
- the system 200 includes an application module 210 and conversion logic 212 coupled to a spool storage 214 via application programming interfaces (APIs) 216 .
- the spool storage 214 stores the job information 202 .
- This chain of components implements the production aspects ( 204 ) of the processing of the job information 202 .
- the system 200 also includes a spooling module 218 that is configured to retrieve the job information 202 from the spool storage 214 and then perform some kind of processing on it to provide an output result.
- This chain of components implements the consumption ( 206 ) aspects of the processing of the job information 202 .
- processing can refer to any kind of action performed on the job information 202 , which may or may not modify the content of the job information 202 .
- the processing may comprise printing the job information 202 , displaying the job information 202 , routing the job information 202 to a target location (with or without modifying it), archiving the job information 202 , and so on.
- the recipient of the output result generated by the spooling module 218 can include one or more of the target entities ( 220 , 222 , . . . , 224 ) associated with different usage cases 226 . A variety of the usage cases 226 will be discussed below.
- the modules, logic and storage units shown in the system 200 can be implemented by any variety and grouping of physical mechanisms and devices.
- a computing device executes the application module 210 , the conversion logic 212 , the APIs 216 , the spool storage 214 and the spooling module 218 .
- the various logic and modules can be implemented by machine readable code that is storable in the memory of the computing device and executed by a processing unit(s) of a computing device.
- the spool storage 214 can be implemented by a storage medium (e.g., hard disk) provided by the computing device.
- the computing device can operate using any kind of platform (e.g., as defined by the operating system and/or other software configuration of the computing device).
- platform e.g., as defined by the operating system and/or other software configuration of the computing device.
- the functionality and associated formats to be described below are specifically configured to operate on different computing platforms, thus defining a standard approach that has wide applicability to different technical environments and which thus serves to facilitate interaction among different technical environments and associated users.
- the target entities ( 220 , 222 , . . . , 224 ) can be implemented as devices which are separate from the computing device which implements the other components ( 210 - 218 ) of the system 200 .
- the computing device can be communicatively coupled to the target entities ( 220 , 222 , . . . , 224 ) via any kind of communication channel, such as a USB coupling, a parallel coupling, a removable media coupling, a network coupling of any kind, and so forth.
- any kind of communication channel such as a USB coupling, a parallel coupling, a removable media coupling, a network coupling of any kind, and so forth.
- the computing device can be communicatively coupled to the printer(s) via any kind of hardwired and/or wireless links using any kind of communication protocol.
- the target entities ( 220 , 222 , . . . , 224 ) can alternatively represent display devices, storage devices, other computing devices, and so on.
- a first computing device can implement the application module 210 and a separate computing device can implement the spooling module 218 .
- the spool storage 214 can also be implemented as a separate unit which couples to the computing device which implements the application module 210 and/or the spooling module 218 .
- the target entities 220 , 222 , . . . , 224
- Still other configurations are possible, examples of which are illustrated throughout the present description.
- those computing devices can correspond to any type of computing devices, such as general purpose computing devices (e.g., desktop PCs), application-specific computing devices (e.g., game consoles), portable computing devices (e.g., personal digital assistants and mobile phones), and so on.
- general purpose computing devices e.g., desktop PCs
- application-specific computing devices e.g., game consoles
- portable computing devices e.g., personal digital assistants and mobile phones
- the system 200 can use any kind of application module 210 to generate any kind of job information 202 , typically associated with any kind of document.
- application modules 210 include text processing programs, spreadsheet processing programs, graphics processing programs, markup language processing programs, database search and retrieval programs, and so on. There is no constraint on the type of application program that can be used to supply job information 202 to be processed using the system 200 .
- Conversion logic 212 in association with APIs 216 , ensures that the job information sent to the spooler storage 214 has the required structure 208 .
- the application module 210 can itself supply the conversion logic 212 as part of its tools.
- the system 200 may employ a separate module to implement the conversion logic 212 .
- different commercial providers can supply the application module 210 and the conversion logic 212 .
- the specific nature of the transformations performed by the conversion logic 212 is dictated by the prescribed format of the structure 208 .
- the forthcoming explanation of the format of the structure 208 will also provide detail regarding the nature of the transformation performed by the conversion logic 212 (if, in fact, any transformation is required).
- the spooling module 218 can play a role in the generation of the job information 202 having the required structure 208 .
- APIs 216 define one or more interfaces for facilitating interaction among the components shown in the system 200 .
- the APIs 216 facilitate the storage of job information 202 in the spool storage 214 and the subsequent retrieval of the job information 202 from the spool storage 214 .
- exemplary and non-limiting functions performed by the APIs 214 can include: (1) submitting job information 202 to the spooling module 218 for scheduling and printing; (2) querying the state of the job while in the spooling module 218 ; (3) monitoring different stages of the job production and hooking up to back end notifications to inform any interested listening entities; (4) monitoring different stages of the job consumption and hooking up to back end notifications to inform any interested listening entities; (5) enabling the spooling module 218 to send output data to the target entities ( 220 , 222 , 224 ), and so on.
- Job information can be supplied to and retrieved from the spool storage 214 in a number of different modes, such as, for example, a streaming mode. In a streaming mode, portions of the job information are stored or processed in piecemeal fashion as it is being received.
- the APIs 216 can generally be implemented as a plurality of methods and properties. In the context of an object-oriented programming paradigm, the APIs 216 can be defined by a collection of classes which specify such methods and properties.
- the system 200 retrieves the resource information 202 from the spool storage 214 and supplies it to the spooling module 218 for processing.
- the spooling module 218 can represent a software program implemented by the same computing device that provides the application module 210 . It includes processing logic 228 for processing the job information 202 . This processing logic 228 , in turn, can include management logic 230 for governing various operations performed by the processing logic 228 .
- the processing logic 228 can also include filter logic 232 for actually performing the required processing on the job information 202 .
- the processing logic 228 corresponds to the converter module 128 of FIG. 1 and the filter logic 232 corresponds to the filter pipeline 102 of FIG. 1 .
- the filter logic 232 e.g., filter pipeline 102
- the filter logic 232 can include one or more filters ( 234 , 236 , . . . , 238 ) for performing different processing functions on the job information 202 to generate an output result.
- the spooling module 218 then feeds the final output result to one or more of the target entities ( 220 , 222 , . . .
- the target entities include a printer which receives the output result and prints the document(s) specified by the output result.
- the spooling module 218 can also include generically-labeled other logic 242 for performing other related and unrelated functions.
- the filter logic 232 does not require that the job information 202 be converted into an intermediary form in order to process it. This, in turn, enables the spooling module 218 to process job information 202 in a more efficient manner compared to those techniques that require such conversion. This also yields a more uniform approach compared to some other techniques, which may resort to a complicated assortment of disparate and ad hoc processing techniques to deal with different proprietary formats that can be used to store job information in the spooler storage 214 .
- a first class of filters accepts job information 202 which conforms to the structure 208 , performs some kind of processing on this information 202 (which may or may not modify the information 202 ), and then generates an output result which also conforms to the structure 208 .
- a second class of filters accepts job information 202 which conforms to the structure 208 , performs some kind of processing on this information 202 , and then generates an output result which does not conform to the structure 208 (or which only partially conforms to the structure 208 ).
- a third class of filters accepts job information 202 which has already been converted into a non-structured format, and provides yet further modification or processing of such non-structured information.
- one or more initial filters of the first class can be set up to modify the job information 202 in various ways (e.g., by adding a watermark, and so on), but do not otherwise change its basic format structure 208 .
- a terminal filter of the second class can be set up to modify the job information 202 by changing its format, such as by either completely removing its format structure 208 or at least partially modifying its format structure 208 .
- the terminal filter e.g., filter n 238
- the terminal filter can be used to convert job information 202 having the format structure 208 into a non-structured form that can be interpreted by an identified target entity ( 220 , 222 , . . . , 224 ).
- filter n 238 may convert the job information 202 having the structure 208 into a print description language (PDL) format that can be fed to a printer which accepts such format.
- PDL print description language
- the terminal filter n 238 is a filter of the first class which generates an output result having job information 202 which still conforms to the structure 208 .
- a target entity 220 represents an appropriate device to receive such an output result.
- This target entity 220 is referred to as “structure-aware” because it receives job information 202 conforming to the structure 208 and thus includes processing functioning to recognize such information 202 and process it appropriately.
- the terminal filter n 238 is a filter of the second class or third class which generates job information which no longer conforms to the structure 208 .
- a target entity 222 represents an appropriate entity to receive such an output result.
- This target entity 222 is referred to as “structure-unaware” because it receives job information 202 that no longer conforms to the structure 208 , and thus the entity 222 does not need to devote any specialized functionality for processing information expressed in this structure 208 ; indeed, the target entity 222 need not, and generally will not, be aware that the job information 202 its receives (e.g., in an appropriate PDL format) was ever originally expressed using the structure 208 .
- Target entity 224 is an example of a kind of entity that can receive and processing this output result.
- FIG. 2 identifies this kind of entity 224 as being “partially structure-aware” because it should include at least some processing functionality for interpreting whatever remnants of the structure 208 that still remain in the output result.
- the filter logic 232 (e.g., the converter module 128 of FIG. 1 ) can be used to define what filters ( 234 , 236 , . . . , 238 ) are to be invoked in processing a particular job, how the individuals filters ( 234 , 236 , . . . , 238 ) are to be configured, and how the filters ( 234 , 236 , . . . , 238 ) are to be chained together.
- the filter logic 232 can select and chain the filters ( 234 , 236 , . . . , 238 ) together in different ways to produce different net effects.
- filter a 234 feeds its output result into the input of filter b 236
- filter b 236 feeds its output result into to the input of another filter, and so on.
- the type of processing that the filter logic 232 performs on the job information 202 can be controlled, in part, by one or more “print tickets” associated with the job information 202 .
- the print tickets include attribute information that defines the operations that should be performed on the job information 202 as it passes through the filter logic 232 .
- Different print tickets can be associated with different parts of the structure 208 of the job information 202 .
- a print ticket can be associated with the root of the structure 208 , so as to globally apply print instructions to the entire job.
- a print ticket can be associated with another node farther down in the hierarchy of the structure 208 to apply more localized print instructions with respect to some part of the job. For example, this feature allows different processing rules to be assigned to two different pages of a single print job, or different parts of a single page, and so on.
- FIG. 3 shows an exemplary schema 300 that can be used to form the job information 202 having the structure 208 shown in FIG. 2 .
- the schema 300 defines a way of arranging job information 202 originally provided by the application module 210 (e.g., in the form of documents generated by the application module 210 ) into the hierarchical structure 208 .
- the conversion logic 212 in association with the APIs 216 can perform this conversion task, or the application module 210 itself can output job information 202 which is already persisted in the structured format 208 .
- the spooling module 218 can also play a role in generating the required format structure 208 .
- the top level of the hierarchy specifies job-related information 302 that identifies the entire job itself.
- the job may pertain to the printing of a book including multiple chapters, and each chapter, in turn, can include multiple pages, and each page, in turn, can include font resources and image resources.
- the top level of the hierarchy identifies the logical package which encapsulates the entire job, that is, the entire book.
- the next level of the hierarchy specifies information 304 that identifies the documents associated with the job. In the example of the book, the document level might specify individual chapters in the book.
- this level of the hierarchy may specify different kinds of documents to be printed in a single print job, such a first document created using a text editor, and a second document created using a spreadsheet program, and so on, where these two documents together form a report of some kind.
- the next level of the hierarchy specifies information 306 that identifies different renditions of the documents identified in the preceding level. For instance, consider the case of a chapter of a book. This chapter can be specified in a first rendition that requires that the chapter be printed in a black and white mode, and a second rendition that requires that the chapter be printed in a color mode. Or different renditions may correspond to different languages used to present information in the document, and so on.
- the spooling module 218 or other processing logic can select an appropriate one of the renditions to process and present to an appropriate target entity ( 220 , 222 , . . . , 224 ).
- the next level of the hierarchy specifies information 308 that identifies different pages within the renditions of the documents identified in the proceeding level.
- Resources can be associated with any level of the hierarchy defined by schema 300 .
- exemplary resource 310 can be associated with the renditions level of the hierarchy.
- Such resource 310 can comprise an image resource 312 , a font resource 314 , or some other resource 316 .
- Resource 318 is associated with the page level of the hierarchy, rather than rendition level.
- FIG. 3 is exemplary and non-limiting; for instance, resources can be associated with yet additional levels in the hierarchy, although not shown in FIG. 3 .
- Metadata can be associated with any of the levels of the hierarchy of the schema 300 .
- Metadata specifies any supplemental information pertaining to the job information 202 , such as an author who created a document contained in the job, a time when the document was created, and so on. There are no restrictions on the type of, and meaning assigned to, metadata that can be appended to different parts of the schema 300 .
- print tickets can be associated with any level of the hierarchy of the schema 300 .
- Print tickets define the types of processing operations that should be performed on associated parts of the hierarchy. For instance, a print ticket associated with the job container level 302 will apply to the entirety of the package defined by the job information 202 . A print ticket associated with an individual page of the job information 202 will have a localized effect by only affecting that page.
- lower levels of the hierarchy defined by the schema 300 can inherent the properties defined in higher levels.
- a child object in the hierarchy will inherit the properties defined for its parent and ancestors. This means that, if so configured, a print ticket, resource, or metadata associated with a parent node can also be, through inheritance, available to its associated child nodes.
- the schema 300 shown in FIG. 3 provides a powerful, uniform and versatile mechanism for representing complex job information, particularly for those jobs that involve multiple documents and/or multiple renditions of documents.
- Traditional techniques provide no provisions for representing these kinds of complex scenarios in spool storage; therefore, these traditional techniques suffer from the inefficiencies described above, which can be significant.
- FIG. 4 shows one exemplary instantiation 400 of the schema 300 .
- the entire collection of nodes shown in FIG. 4 defines a package.
- the package includes a root node 402 associated with the entire package, e.g., the entire job.
- An index can be associated with the package, and hence with the root node 402 . This index can be used to locate the package in the spool storage 114 .
- the job defined by the root node 402 includes a number of documents, as identified by document node 404 and document node 406 . Also, a metadata node 408 is associated with the root node 402 . If so configured, the metadata associated with this metadata node 408 defines properties which apply to the job as a whole.
- Each of the documents associated with nodes 404 and 406 can include multiple renditions associated therewith.
- the document represented by node 404 includes at least two renditions identified by nodes 410 and 412 .
- a document may allocate separate renditions for printing a document in black and white mode, color mode, and so on. No limitation is placed on what a developer may define as a rendition in the context of a particular application environment.
- the job information 202 having the structure 208 serves as a general blueprint from which many renditions can be generated.
- the specification of such rendition information within the spool storage 214 itself is a particularly unique and beneficial feature. For instance, this provides an efficient mechanism for printing different versions of the same document without having to store entire separately-tailored copies of the same document in the spool storage 214 . Storing separate copies may overwhelm the storage and processing resources of the printing subsystem.
- node 404 In addition to rendition nodes ( 410 , 412 ), node 404 also includes nodes 414 and 416 associated therewith. Node 414 specifies metadata associated with node 404 and node 404 specifies a resource associated with node 404 .
- a resource can include an image resource, a font resource, or some other resource that goes into the composition of the document represented by node 404 .
- Each rendition includes one or more pages associated therewith.
- Nodes 418 and 420 represent pages associated with rendition node 412 .
- Metadata node 430 indicates that metadata can be associated with the rendition level of the hierarchy (as it can for any level).
- Resource node 432 indicates that resource information can be associated with the rendition level (as it can for any level).
- An image may also include a hierarchical structure, further discussion of which may be found in relation to FIGS. 9 and 11 .
- each page can include page data associated therewith as well as metadata.
- page node 418 includes page data node 422 and metadata node 424 associated therewith, indicating that page data and metadata can be associated with this page.
- Page node 420 includes page data node 426 and metadata node 428 associated therewith, indicating that page data and metadata can be associated with this page.
- the package associated with root node 402 can also include a collection of resources for shared use by different nodes in the job. Such collection of resources thus defines a shared library of resources that can be applied at different points within a document represented by the package.
- Particular types of resources include image resources, as represented by general image node 436 .
- Individual image nodes ( 438 , 440 ) are children of the parent image node 436 , and respectively represent individual image resources.
- a metadata node 442 depends from the general image node 436 , which represents metadata that, if so configured, applies to all of the image resources.
- Another metadata node 444 depends from an individual image node 440 , representing metadata that applies to only this image resource associated with this node 440 .
- a general font node 446 represents the inclusion of a plurality of font resources to select from, indicated by font nodes 448 and 450 .
- Metadata can be associated with the general font node 446 , as indicated by metadata node 452 , or can be associated with a particular font resource, as indicated by metadata node 454 . If so configured, metadata associated with the general font node 446 applies to all font resources while metadata associated with a particular font resource (such as found resource 450 ) applies only to that particular font resource.
- the resources can also include a number of other types of resources, as generally indicated by resource node 456 .
- Metadata can be associated with this node 456 , as indicated by metadata node 458 .
- Any document-related node in the package can reference any reference node, indicating that a particular part or aspect of the document is referencing a particular resource for use thereat.
- page node 418 references resource extensions node 456 .
- This association is indicated with a dashed line.
- page node 420 is associated with image node 440 and font node 448 , indicting that an image resource associated with node 440 and a font resource associated with node 448 are used in the page associated with node 420 .
- These associations are indicated by two respective dashed lines.
- the hierarchies shown in FIGS. 3 and 4 can be created in different ways.
- the hierarchy itself is a logical entity, where the nodes correspond to respective objects.
- Objects can reference other objects in different ways.
- the individual objects can be modified so that they point to linked objects. Linking can be provided by pointers, Uniform Resource Locators (URLs), or some other referencing mechanism.
- URLs Uniform Resource Locators
- separate relationship information can be defined that specifies how separate objects are linked together. This mechanism eliminates the need for individual objects to be modified to define their interrelationship to other objects. This separate relationship information thus serves a blueprint for linking together separate objects in the job information.
- metadata can be associated with individual nodes in the hierarchical structure in different ways. For instance, individual nodes can provide linking information that points to associated metadata, or the objects themselves can embeds such metadata.
- the Extensible Markup Language (XML), or other markup language can be used to create the structured format shown in FIGS. 3 and 4 .
- the nodes shown in FIG. 4 are logical entities. Mapping rules define how the nodes map to actual physical entities used to constitute a document that is to be rendered. In one case, some of the nodes directly correspond to parts that are to be rendered, such as image resources and font resources. In another case, other of the nodes do not map, in one-to-one fashion, to actual renderable content of the document, but rather serve to communicate the organization of content in the document, or other aspect of the document.
- FIG. 5 is an illustration in an exemplary implementation showing the converter module 128 of FIG. 1 in greater detail.
- the converter module 128 includes a plurality of filters 504 - 512 .
- a file package may include complex elements that cannot be readily printable by a legacy printer, such as a structure unaware target entity 222 of FIG. 2 .
- the converter module 128 may be configured to process the file package and send data that is usable by a legacy printer to print the file.
- the plurality of filters 502 - 510 of the converter module 128 are arranged to form a filter pipeline.
- Each of the filters 502 - 510 may be configured to convert complex elements in a file that cannot be effectively processed by a legacy printer into simpler elements that the printer can efficiently print.
- outline filter 502 is configured to process elements with complex outlines.
- Outline filter 502 is executable to convert a complex outline of a graphical element into a simple primitive(s) that can be handled by a legacy printer.
- Simple primitives may include lines, polygons, areas, vector shape elements, and the like.
- Gradient filter 504 is configured to process elements with complex gradients.
- Gradient filter 504 for instance, is executable to convert a complex gradient into multiple polygons with fill colors that approximate the gradient.
- Transparent vector shape filter 506 is configured to process vector shape elements with transparency functionality.
- a first graphical element that supports transparency functionality e.g. alpha value less than one
- the region of the second graphical element covered by the first graphical element i.e. overlapping portion
- Transparent vector shape filter 506 may be executed to convert the transparency element and the overlapped element into two new elements with solid fill colors but without the overlapped region. Transparent vector shape filter 506 may also create another new element with for the overlapping portion with a solid fill color that approximates the original overlapping portion.
- Transparent image filter 508 is configured to process image elements with transparency. Transparent image filter 508 determines the overlapping region of image elements and creates a new image element that approximates the overlapping region using shape elements and other image elements. Transparent image filter 508 is configured to apply alpha computation and subsequent clipping to polygonal paths. It is to be appreciated that transparent vector shape filter 506 and transparent image filter 508 are separately discussed in this document for clarity reasons. In an implementation, both filters may be combined into a single filter.
- Converter module 128 may include other filters for performing other processing steps.
- converter module 128 may include a filter to convert file data to information that a legacy printer can understand, such as print description language (PDL) command streams.
- Converter module 128 may also include filters that are not configured to modify file data.
- converter module 128 may include a filter that sends a copy of the file data to an archive.
- filters 502 - 510 are modularly configured and form a filter pipeline where the output of one filter serves as the input of another filter.
- the modular configuration enables different filters to be easily added, modified or removed.
- the filter pipeline enables a file to be converted efficiently to a format understood by a legacy printer. This capability allows converter module 128 to provide a file to a legacy printer for printing without converting the complex elements in the file to computationally-intensive pixel-based elements, such as rasterized graphical elements (e.g., bitmaps).
- Planar rendering may be provided as a stage (e.g., the transparent vector shape and image filters 508 , 510 of FIG. 5 ) in a filter pipeline as previously described.
- This stage is configured to convert files having transparent/translucent images into a printable format for rendering devices and graphics models which do not support transparency functionality, such as legacy rendering devices.
- alpha information may be specified for each pixel that is to be rendered on a surface (e.g., the screen 112 of FIG. 1 , a printable medium, and so on).
- Alpha can be specified in a variety of ways, such as a floating point number that has a range from 0.0 to 1.0. In this instance, if alpha is zero then a corresponding pixel is transparent, and therefore is not rendered. If the alpha for a corresponding pixel is 1.0, then the corresponding pixel is opaque such that it completely covers whatever is “underneath” it.
- the alpha value is between 0.0 and 1.0, in this instance, colors for the corresponding pixels are mixed to provide a translucent appearance. For example, if a white rectangle is to be drawn on top of a black rectangle, and the alpha for the white rectangle is specified as 0.5, then the resulting color for the overlapping portions is an equal mixture of black and white.
- Graphical elements that are drawn in the form of a vector object typically have a fixed alpha value associated with the entire area of the graphical element that is to be rendered.
- Other graphical elements may specify an alpha value for each individual pixel of the graphical element.
- a photographic image of a pumpkin may include an alpha value for each pixel that does not belong to the pumpkin (e.g., a bounding area) to transparent and set alpha values for each pixel that belong to the apple to opaque. In this way, the image provides a built-in mask that specifies how that image of the pumpkin is to be rendered against a background.
- a first pixel of a first graphical element was to be drawn onto a location that already had a second pixel provided by a second graphical element that was drawn before the first graphical element.
- a portion the first graphical element “overlaps” a portion the second graphical element, which may be referred to as an “overlapping portion” or “overlapping portions”.
- the overlapping portion did not support a transparent/translucent output and therefore would merely override any preexisting pixels. Therefore, pixels in the portion of the first graphical element would opaquely cover pixels in the portion of the second graphical element.
- portions of a output file that contained transparent and overlapping graphical elements for output were rasterized to form a rasterized image, such as a bitmap.
- Rasterizing a portion of the image file introduces resolution dependency and requires a large amount of memory resources to store rasterized images.
- traditional PDL's did not support the concept of alpha, and therefore could not translate a graphical element that is transparent or translucent for output as intended.
- FIG. 6 is an illustration 600 in an exemplary implementation showing graphical elements having an overlapping portions, at least one of which is translucent.
- a file 602 is shown having a plurality of graphical elements, illustrated as a white rectangle 604 and a black rectangle 606 .
- the white rectangle 604 is drawn so that it partially overlaps the black rectangle 606 , thereby forming an overlapping portion 608 .
- the file 602 supports transparency functionality such that the white rectangle 604 has an alpha value between 0.0 and 1.0. Therefore, when the white rectangle 604 is displayed over the black rectangle 606 , the overlapping portion 608 includes portions of both the white and black rectangles 604 , 606 . Thus, at least a portion of the black rectangle 606 is visible through the white rectangle 604 .
- the converter module 128 is implemented to convert the file 602 having translucent and/or transparent portions to a file 610 having a printable format for target entities and other graphical environments which do not support transparency functionality, such as legacy rendering devices.
- the converting module 128 first converts each portion of the file 602 having a uniform color into a logical shape, such as a polygon.
- a first shape 604 ′ for instance, includes a solid white portion of the white rectangle 604 .
- a second shape 606 ′ includes a solid black portion of the block rectangle 606 .
- a third shape 608 ′ is taken from the overlapping portions 608 of the white and black rectangles 604 , 606 .
- each of these shapes 604 ′, 606 ′, 608 ′ do not overlap, each can be drawn with a independent color such that it is not dependent on another color that is already provided for inclusion on the page.
- the third shape 608 ′ may be rendered as a mixture of 50% black and 50% white. Therefore, the alpha value for each of the first, second, and third shapes 604 ′, 606 ′, and 608 ′ may be set to opaque (e.g., 1.0).
- the converter module 128 may employ an algorithm that processes a page description for a whole page and determines where graphical element intersections occur, i.e. overlapping portions. The algorithm may then convert the graphical element intersections into objects and derive a single color for each graphical element intersection object. The result (e.g., file 610 ) can therefore be rendered by rendering devices that do not support transparency functionality.
- planar rendering provides for accurate rendering of the transparent and translucent graphical elements by rendering devices which do not support transparency.
- the term “planar” is used in reference to layers provided by graphical elements having specified alpha values.
- FIG. 7 is an illustration of an exemplary implementation showing the files 602 , 610 of FIG. 6 as layered for output from a side view. Alpha values are utilized to layer graphical elements, one on top of another. Therefore, file 602 provides a layered image when viewed from the side as shown in FIG. 7 .
- the file 602 has a base layer which represents paper 702 , on which, the image is to be printed, which is followed by individual layers formed on top of the paper 702 to form the image of the file 602 .
- Alpha values are used to determine how these layers for the graphical elements (e.g., the white and black rectangles 604 , 606 ) are composed respective to each other.
- the converter module 128 utilizes planar rendering to essentially flatten these layers of file 602 to a single layer in file 610 .
- the overlapping portion 608 of file 602 includes multiple layers formed by portions of the white and black rectangles 604 , 606 .
- the overlapping portion 608 ′ of file 610 includes a single layer which is the result of the overlapping portions that has an alpha value set to opaque such that a rendering device which receives the file 610 can provide an output which gives the appearance of transparency/translucence, even if the rendering device does not support transparency functionality.
- FIG. 8 is an illustration of an exemplary implementation showing an image 800 as intended for printing on a printable medium 802 .
- a segment 804 is illustrated by a dashed rectangle which represents a background of the image 800 .
- the segment 804 includes a triangle 806 and a circle 808 which is displayed “on top” of the triangle 806 . Therefore, the triangle 806 and the circle 808 having an overlapping portion 810 as previously described.
- the circle 808 has an alpha value that is specified between 0.0 (i.e., transparent) and 1.0 (i.e., opaque) such that the circle is translucent.
- the overlapping portion 810 enables a portion of the triangle 806 to be displayed “through” a corresponding portion of the circle 808 .
- the triangle 806 and the circle 808 are considered as one group with the segment 804 of the image 800 .
- FIG. 9 is an illustration of an exemplary implementation in which the image 800 of FIG. 8 is represented as a hierarchical structure which is depicted as a tree 900 .
- the tree 900 represents imaging operations that are utilized to provide an output on a printable medium of the image 800 of FIG. 8 .
- the tree 900 may be representative of an image in a document (e.g., the images 312 of the document 304 of FIG. 3 ).
- the tree 900 has a first child node 902 which references the portion 804 of the background of the image 800 of FIG. 8 and a second child node 904 which represents the overlapping operation of the triangle 806 and the circle 808 .
- the plurality of nodes 902 - 910 may specify a variety of properties.
- each node of the tree 900 may specify a corresponding alpha value.
- a leaf node references a particular graphical element (e.g., nodes 906 , 908 ).
- An alpha value specified for the leaf node defines an alpha value for a graphical element referenced by the leaf node.
- grouping nodes e.g., nodes 904 , 910 ), which reference a plurality of other nodes, may also specify an alpha value for each child of that node.
- an alpha value 912 that is specified for the second child node 904 defines an alpha value for each node (e.g., nodes 906 , 908 ) that is a child of the second child node 904 .
- Each of these nodes may also have a property which is a bounding rectangle 914 of the object as it appears, when rendered, and a property that specifies a color 916 for an area described by the node.
- FIG. 10 is a flow diagram depicting a procedure 1000 in an exemplary implementation in which the converter module of FIG. 1 implements an algorithm that walks the tree 900 of FIG. 9 to perform planar rendering.
- the discussion of the procedure 1000 of FIG. 10 is made in reference to FIG. 9 , the result of which is a tree 1100 shown in FIG. 11 .
- the converter module walks the tree 900 of FIG. 9 (i.e., traverses a data structure) to find a node of the tree having a bounding rectangle that contains a graphical element. For example, the converter module starts at node 902 which references the segment 804 of the background of the image 800 .
- the converter module determines if the bounding rectangle of the current node intersects another bounding rectangle of another node that is “below” the current bounding rectangle.
- the tree 900 may provide a z order for display of graphical elements which is utilized to specify which graphical element is to be displayed on top of another graphical element.
- the z order is represented in the tree 900 of FIG. 9 such that the left-most nodes are to be displayed below the right-most nodes that are included in the same hierarchical levels of the tree, as will become more apparent in the description of this example.
- a color is computed for graphical elements in the bounding rectangle as if it was printed on a printable medium. For instance, if the segment 804 has an alpha value which specifies that the segment 804 is translucent, a color of the segment 804 is computed based on the color specified, the alpha value, and a color value of white for the underlying surface utilizing alpha blending techniques as previously described. In this way, the segment 804 is converted for accurate rendering.
- the segment is added to the display list for output.
- tree 1100 depicts a display list for output.
- the segment 804 is added to the tree 1100 as node 1102 .
- the procedure 1000 then returns to block 1002 to find a new current bounding rectangle and determines whether the new bounding rectangle intersects another bounding rectangle (block 1004 ).
- the converter module in this instance walks the tree 900 to find a grouping node (i.e., child node 904 ) which represents the intersection of the triangle 806 and the circle 808 .
- a grouping node i.e., child node 904
- the tree 900 provides a z order for display of graphical elements. Therefore, the converter module marks a next bounding rectangle in the z order for analysis, which in this instance is node 906 .
- the converter module determines whether the bounding rectangle for the triangle 806 intersects any “lower” (i.e., z order) bounding rectangles.
- the converter module inspects the other graphical element in the other bounding rectangle and determines if the other graphical element intersects the current graphical element (block 1012 ). For instance, the converter module may inspect geometric and location descriptions of the respective graphical elements to determine which portions, if any, of the graphical elements overlap. In this instance, the triangle 806 is to be displayed over the segment 804 and therefore there is an intersection.
- the converter module determines if the current graphical element is opaque. If so, the current graphical element will cover the other graphical element and therefore the current graphical element may be included in the display list (block 1016 ) without further computations. If the current graphical element is not opaque (block 1014 ), then the converter module determines whether the current graphical element is translucent (block 1018 ). For example, the converter module may inspect the current graphical element to determine its alpha value. If the current graphical element is transparent, then the other graphical element will be displayed “through” the current graphical element without modification. If the current graphical element is translucent, however, transparency functionality employed by the current graphical element is converted for use by graphical environments which do not support transparency as follows.
- the converter module determines an overlapping portion of the current graphical element with the other graphical element. For example, the triangle 806 in this instance completely overlaps the segment 804 and therefore the overlapping portion is the triangle 806 itself.
- the converter module then computes a color for the overlapping portion (block 1006 ). In this instance, the color is computed based on the colors of the segment 804 and the triangle 806 utilizing alpha blending techniques.
- the overlapping portion (e.g. the triangle 806 ) having the computed color of block 1006 is included in the display list (block 1008 ).
- the triangle 806 having the computed color is stored, for example, as triangle 1104 at node 1106 of the result tree 1100 of FIG. 11 .
- the converter module may also optimize the display list.
- the converter module determines if any other graphical elements in the display list (e.g., tree 1100 of FIG. 11 ) are obscured by the overlapping graphical element. If so, the obscured graphical element is removed (block 1024 ), thereby conserving memory resources. The procedure then returns back to block 1002 for a next graphical element.
- the circle 808 is found at node 908 of tree 900 of FIG. 9 .
- the procedure 808 continues through blocks 1002 - 1022 as previously described to compute a new circle 806 having a color computed from the overlap of the circle 808 and the segment 804 to form a new circle 1108 .
- the new circle 1108 has a color computed from the overlap of the circle 808 with the segment 804 of node 1102 and is stored at node 1110 in tree 1100 of FIG. 11 .
- the procedure is again repeated for the circle 808 , but in this instance the overlap of the circle 808 with the triangle 806 is addressed.
- the procedure 1000 may proceed through blocks 1002 - 1018 as previously described.
- the overlapping portion 810 of the circle 808 and the triangle 806 is determined.
- the converter module may compute a portion having a generally uniform color that is provided through the overlap of the translucent circle 808 with the triangle 806 .
- the converter module then arrives at a shape (i.e., a polygon) that approximates the overlapping portion, which in this instance is a “pie” shape 1112 illustrated in FIG. 11 .
- a color is computed for the pie shape 1112 based on the color of the triangle 806 of node 1106 and the circle 1108 of node 1110 .
- the pie shape 1112 and its computed color are then included in the display list, i.e. node 1114 of tree 1100 of FIG. 11 .
- the procedure 1000 of FIG. 10 may be utilized to flatten a hierarchical structure of the tree 900 of FIG. 9 to the result tree 1100 of FIG. 11 .
- the tree of FIG. 11 does not specify translucent alpha values (e.g., each alpha, if specified, is 0.0 or 1.0) and therefore may be utilized in graphical environments which do not support transparency functionality, such as legacy printers.
- the source tree e.g., tree 900 of FIG. 9
- the result tree e.g., tree 1100 of FIG.
- planar mapping may address an arbitrarily deep nested tree and convert it into a flat tree having one level of imagable data having correct color computations.
- overlapping portions do not need to be removed from the respective parent object.
- the illustrated “pie shape” portion is not removed from the circle or the triangle.
- the alpha for the pie shape is set to opaque such that it overwrites the other shapes.
- each object in the tree may be set as opaque with the corresponding order (i.e., z order) defining which object will be displayed “on top”.
- a “flat” tree is formed having images with alpha values each set as “1.0” (i.e. opaque) so that it does not matter whether the overlapping portions are removed from the parent graphical elements.
- FIG. 12 is a flow diagram depicting a procedure 1200 in an exemplary implementation in which a converter module performs planar rendering on a display list, the result of which provides for output of translucent graphical elements on a printer which does not support transparency functionality.
- a display list of graphical elements is walked.
- the display list describes an image to be rendered.
- each graphical element in the display list is added to a tree in a z order which describes the order, in which, each of the graphical elements is to be displayed with respect to other graphical elements.
- the “lowest” graphical element is selected based on the z order of the tree.
- a determination is made as to whether the selected graphical element has a corresponding alpha value. If not, the selected graphical element is added to a result tree (block 1210 ).
- an overlapping portion is computed of the selected graphical element with any previously encountered graphical elements (block 1212 ).
- a color for the overlapping portion is computed based on colors and alpha values for any underlying graphical elements.
- a new graphical element is created which represents the overlapping area and the computed color.
- the new graphical element is added to the result tree and a next graphical element is selected (block 1206 ).
- FIG. 13 is a flow diagram of a procedure 1300 in an exemplary implementation in which a filter converts a file containing graphical elements with transparency functionality.
- each translucent graphical element in the file is identified.
- the graphical element overlapped by the translucent graphical element is identified. It is to be appreciated that multiple graphical elements may be overlapped. But for ease of discussion, only one overlapped element will be discussed in this example process.
- shapes that approximate the non-overlapping portions of the elements are determined.
- a shape that approximates the overlapping section of the elements is determined.
- fill colors for the shapes that approximate the transparent and the overlapping elements and the overlapping region are determined.
- the elements are replaced with the filled shapes.
Landscapes
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Abstract
Description
Ser. No. | Inventor(s) | Title | ||
60/567,679 | Foehr et al. | SYSTEMS AND | ||
METHODS FOR | ||||
PASSING DATA | ||||
IN A FILTER | ||||
PIPELINE | ||||
60/567,663 | Foehr et al. | SYSTEMS AND | ||
METHODS FOR | ||||
HANDLING A | ||||
FILE WITH | ||||
COMPLEX | ||||
ELEMENTS | ||||
60/567,890 | Foehr et. al. | SYSTEMS AND | ||
METHODS FOR | ||||
SUPPORT OF | ||||
VARIOUS | ||||
COMPUTER AND | ||||
PRINTER | ||||
CAPABILITIES | ||||
60/567,920 | Sedky and Emerson | SPOOLING | ||
et al. | STRATEGIES | |||
USING | ||||
STRUCTURED | ||||
JOB | ||||
INFORMATION | ||||
60/567,830 | Foehr et al. | PLANAR | ||
RENDERING | ||||
60/568,071 | Foehr et al. | SHARING OF | ||
DOWNLOADED | ||||
RESOURCES | ||||
This application also incorporates by reference the entire disclosure of co-pending U.S. nonprovisional patent application Ser. No. 10/794,669, filed on Apr. 30, 2004, entitled “Document Mark Up Methods and Systems” to inventors Emerson et al.
Claims (36)
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US12/370,383 US8024648B2 (en) | 2004-05-03 | 2009-02-12 | Planar mapping of graphical elements |
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US56789004P | 2004-05-03 | 2004-05-03 | |
US10/935,025 US7519899B2 (en) | 2004-05-03 | 2004-09-07 | Planar mapping of graphical elements |
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US12/370,383 Continuation US8024648B2 (en) | 2004-05-03 | 2009-02-12 | Planar mapping of graphical elements |
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