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Rational  Linear Interpolation of Texture Coordinates and Their Partial Derivatives
Wu, Kevin
HPL98113
Keyword(s): computer graphics; texture mapping; interpolation; texture coordinates; texture derivatives; anti aliasing
Abstract: This paper describes an algorithm for calculating texture coordinates and their partial derivatives during scan conversion of planar polygons. These values are required in texture mapping for anti aliasing algorithms, where a resampling filter combines texture elements (a.k.a. texels) in a weighted average. Perspective projection requires an image warp accomplished with rationallinear (a.k.a. hyperbolic) interpolation. A single division per pixel and a few addition and multiplication operations yields the texture coordinates and their partial derivatives.
13 Pages
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