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Anti-aliasing with stratified B-spline filters of arbitrary degree\ud

By M.N. Gamito and S.C. Maddock


A simple and elegant method is presented to perform anti-aliasing in raytraced images. The method uses stratified\ud sampling to reduce the occurrence of artefacts in an image and features a B-spline filter to compute the final\ud luminous intensity at each pixel. The method is scalable through the specification of the filter degree. A B-spline\ud filter of degree one amounts to a simple anti-aliasing scheme with box filtering. Increasing the degree of the B-spline generates progressively smoother filters. Computation of the filter values is done in a recursive way, as part of a sequence of Newton-Raphson iterations, to obtain the optimal sample positions in screen space. The proposed method can perform both anti-aliasing in space and in time, the latter being more commonly known as motion blur. We show an application of the method to the ray casting of implicit procedural surfaces

Publisher: Blackwell Publishing on behalf of the European Association for Computer Graphics
Year: 2006
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