[hal-00876432] Filtering Non-Linear Transfer Functions on Surfaces

Applying non-linear transfer functions and look-up tables to procedural functions such as noise surface attributes or even surface geometry are common strategies used to enhance visual detail Their simplicity and ability to mimic a wide range of realistic appearances have led to their adoption in many rendering problems As with any textured or geometric detail proper filtering is needed to reduce aliasing when viewed across a range of distances but accurate and efficient transfer function filtering remains an open problem for several reasons transfer functions are complex and non-linear especially when mapped through procedural noise and/or geometry-dependent functions and the effects of perspective and masking further complicate the filtering over a pixel's footprint We accurately solve this problem by computing and sampling from specialized filtering distributions on the fly yielding very fast performance We investigate the case where the transfer function to filter is a color map applied to macroscale surface textures like noise as well as color maps applied according to microscale geometric details We introduce a novel representation of a potentially modulated color map's distribution over pixel footprints using Gaussian statistics and in the more complex case of high-resolution color mapped microsurface details our filtering is view- and light-dependent and capable of correctly handling masking and occlusion effects Our approach can be generalized to filter other physical-based rendering quantities We propose an application to shading with irradiance environment maps over large terrains Our framework is also compatible with the case of transfer functions used to warp surface geometry as long as the transformations can be represented with Gaussian statistics leading to proper view- and light-dependent filtering results Our results match ground truth and our solution is well suited to real-time applications requires only a few lines of shader code provided in supplemental material is high performance and has a negligible memory footprint



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