The implementation of the DotsTexture texture in this chapter does not make any effort to avoid…

The implementation of the DotsTexture texture in this chapter does not make any effort to avoid aliasing in the results that it computes.Modify this texture to do some form of antialiasing. The Checkerboard2DTexture offers a guide as to how this might be done, although this case is more complicated, both because the polka dots are not present in every grid cell and because they are irregularly positioned. At the two extremes of a filter region that is within a single cell and a filter region that spans a large number of cells, the task is easier. If the filter is entirely within a single cell

The implementation of the DotsTexture texture in this chapter does not make any effort to avoid aliasing in the results that it computes.Modify this texture to do some form of antialiasing. The Checkerboard2DTexture offers a guide as to how this might be done, although this case is more complicated, both because the polka dots are not present in every grid cell and because they are irregularly positioned. At the two extremes of a filter region that is within a single cell and a filter region that spans a large number of cells, the task is easier. If the filter is entirely within a single cell and is entirely inside or outside the polka dot in that cell (if present), then it is only necessary to evaluate one of the two subtextures as appropriate. If the filter is within a single cell but overlaps both the dot and the base texture, then it is possible to compute how much of the filter area is inside the dot and how much is outside and blend between the two. At the other extreme, if the filter area is extremely large, it is possible to blend between the two textures according to the overall average of how much area is covered by dots and how much is not. (Note that this approach potentially makes the same error as was made in the checkerboard, where the subtextures arent aware that part of their area is occluded by another texture. Ignore this issue for this exercise.) Implement these approaches and then consider the intermediate cases, where the filter region spans a small number of cells. What approaches work well for antialiasing in this case?

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