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https://issues.apache.org/jira/browse/PDFBOX-1915?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=14075242#comment-14075242
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Shaola Ren commented on PDFBOX-1915:
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I modified type 4 & 5 shading, for the eci file, type 4 gets right, type 5 
performs a misordered problem, I will fix this later.

I didn't write the corresponding java doc for those two types shading, they may 
need further change.

For the doughnut image in the chap14, the performance is not improved, the 
reason is that the hash table can save time in one instance of a shading 
context, when the size of the triangle list in this shading context is small, 
the hash table doesn't have an obvious advantage over a simple arraylist. The 
doughnut image is composed by over 800 type 4 shading instances, each instance 
only contains a small data stream. Thus the time consumption is mostly from the 
frequent call of PDShadingType4, I think this is an issue outside the shading 
package, in order to reduce the rendering time for this doughnut image, 
modification in this shading context is not much helpful.

For the eci file, I cannot simply locate the shading type for the rectangle has 
two thin stripes which are not correct now, there should be some problem in the 
corresponding shading, I'll work on this later as well.

The code is updated in the usual place.

> Implement shading with Coons and tensor-product patch meshes
> ------------------------------------------------------------
>
>                 Key: PDFBOX-1915
>                 URL: https://issues.apache.org/jira/browse/PDFBOX-1915
>             Project: PDFBox
>          Issue Type: Improvement
>          Components: Rendering
>    Affects Versions: 1.8.5, 1.8.6, 2.0.0
>            Reporter: Tilman Hausherr
>            Assignee: Shaola Ren
>              Labels: graphical, gsoc2014, java, math, shading
>             Fix For: 2.0.0
>
>         Attachments: CIB-coons-vs-tensormesh.pdf, CIB-coonsmesh.pdf, 
> CONICAL.pdf, GWG060_Shading_x1a.pdf, GWG060_Shading_x1a_1.png, HSBWHEEL.pdf, 
> McAfee-ShadingType7.pdf, Shadingtype6week1.pdf, TENSOR.pdf, XYZsweep.pdf, 
> _gwg060_shading_x1a.pdf-1.png, _mcafee-shadingtype7.pdf-1.png, 
> asy-coons-but-really-tensor.pdf, asy-tensor-rainbow.pdf, asy-tensor.pdf, 
> ch14.pdf, coons-function.pdf, coons-function.ps, coons-nofunction-CMYK.pdf, 
> coons-nofunction-CMYK.ps, coons-nofunction-Duotone.pdf, 
> coons-nofunction-Duotone.ps, coons-nofunction-Gray.pdf, 
> coons-nofunction-Gray.ps, coons-nofunction-RGB.pdf, coons-nofunction-RGB.ps, 
> coons2-function.pdf, coons2-function.ps, coons4-function.ps, crestron-p9.pdf, 
> eci_altona-test-suite-v2_technical_H.pdf, example_030.pdf, failedTest.rar, 
> lamp_cairo.pdf, lamp_cairo7_0.png, lamp_cairo7_1.png, lamp_cairo7_1.png, 
> lineRasterization.jpg, mcafeeU5.pdf, mcafeeU5_1.png, mcafeeu5.pdf-1.png, 
> pass4FlagTest.rar, patchCases.jpg, patchMap.jpg, shading6ContourTest.rar, 
> shading6Done.rar, shading7.rar, tensor-nofunction-RGB.pdf, 
> tensor-nofunction-RGB.ps, tensor-nofunction-RGB_1.png, 
> tensor4-nofunction.pdf, tensor4-nofunction.ps, tensor4-nofunction_1.png, 
> updateshading6ContourTest.rar
>
>
> Of the seven shading methods described in the PDF specification, type 6 
> (Coons patch meshes) and type 7 (Tensor-product patch meshes) haven't been 
> implemented. I have done type 1, 4 and 5, but I don't know the math for type 
> 6 and 7. My math days are decades away.
> Knowledge prerequisites: 
> - java, although you don't have to be a java ace, just feel confortable
> - math: you should know what "cubic Bézier curves", "Degenerate Bézier 
> curves", "bilinear interpolation", "tensor-product", "affine transform 
> matrix" and "Bernstein polynomials" are, or be able to learn it
> - maven (basic)
> - svn (basic)
> - an IDE like Netbeans or Eclipse or IntelliJ (basic)
> - ideally, you are either a math student who likes to program, or a computer 
> science student who is specializing in graphics.
> A first look at PDFBOX: try the command utility here:
> https://pdfbox.apache.org/commandline/#pdfToImage
> and use your favorite PDF, or the PDFs mentioned in PDFBOX-615, these have 
> the shading types that are already implemented.
> Some simple source code to convert to images:
> String filename = "blah.pdf";
> PDDocument document = PDDocument.loadNonSeq(new File(filename), null);
> List<PDPage> pdPages = document.getDocumentCatalog().getAllPages();
> int page = 0;
> for (PDPage pdPage : pdPages)
> {
> ++page;
> BufferedImage bim = RenderUtil.convertToImage(pdPage, 
> BufferedImage.TYPE_BYTE_BINARY, 300);
> ImageIO.write(bim, "png", new File(filename+page+".png"));
> }
> document.close();
> You are not starting from scratch. The implementation of type 4 and 5 shows 
> you how to read parameters from the PDF and set the graphics. You don't have 
> to learn the complete PDF spec, only 15 pages related to the two shading 
> types, and 6 pages about shading in general. The PDF specification is here:
> http://www.adobe.com/devnet/pdf/pdf_reference.html
> The tricky parts are:
> - decide whether a point(x,y) is inside or outside a patch
> - decide the color of a point within the patch
> To get an idea about the code, look at the classes GouraudTriangle, 
> GouraudShadingContext, Type4ShadingContext and Vertex here
> https://svn.apache.org/viewvc/pdfbox/trunk/pdfbox/src/main/java/org/apache/pdfbox/pdmodel/graphics/shading/
> or download the whole project from the repository.
> https://pdfbox.apache.org/downloads.html#scm
> If you want to see the existing code in the debugger with a Gouraud shading, 
> try this file:
> http://asymptote.sourceforge.net/gallery/Gouraud.pdf
> Testing:
> I have attached several example PDFs. To see which one has which shading, 
> open them with an editor like NOTEPAD++, and search for "/ShadingType" 
> (without the quotes). If your images are rendering like the example PDFs, 
> then you were successful.
> Optional:
> Review and optimize the complete shading package for speed; implement cubic 
> spline interpolation for type 0 (sampled) functions (that one is really 
> low-low priority, see details by looking up "cubic spline interpolation" in 
> the PDF spec, which tells that it is disregarded in printing, and I don't 
> have a test PDF).
> Mentor: Tilman Hausherr (European timezone, languages: german, english, 
> french)



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