Efficient and Accurate Spherical Kernel Integrals using Isotropic Decomposition

Cyril Soler 1 Mahdi Bagher 2 Derek Nowrouzezahrai 3
1 MAVERICK - Models and Algorithms for Visualization and Rendering
Inria Grenoble - Rhône-Alpes, LJK - Laboratoire Jean Kuntzmann, INPG - Institut National Polytechnique de Grenoble
Abstract : Spherical filtering is fundamental to many problems in image synthesis, such as computing the reflected light over a surface or anti-aliasing mirror reflections over a pixel. This operation is challenging since the profile of spherical filters (e.g., the view-evaluated BRDF or the geometry-warped pixel footprint, above) typically exhibits both spatial-and rotational-variation at each pixel, precluding precomputed solutions. We accelerate complex spherical filtering tasks using isotropic spherical decomposition (ISD), decomposing spherical filters into a linear combination of simpler isotropic kernels. Our general ISD is flexible to the choice of the isotropic kernels, and we demonstrate practical realizations of ISD on several problems in rendering: shading and prefiltering with spatially-varying BRDFs, anti-aliasing environment mapped mirror reflections, and filtering of noisy reflectance data. Compared to previous basis-space rendering solutions, our shading solution generates ground truth-quality results at interactive rates, avoiding costly reconstruction and large approximation errors.
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Cyril Soler, Mahdi Bagher, Derek Nowrouzezahrai. Efficient and Accurate Spherical Kernel Integrals using Isotropic Decomposition. ACM Transactions on Graphics, Association for Computing Machinery, 2015, 34 (5), pp.14. ⟨10.1145/2797136⟩. ⟨hal-01187865⟩

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