HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Journal articles

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, Grenoble INP - Institut polytechnique de Grenoble - Grenoble Institute of Technology
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.
Document type :
Journal articles
Complete list of metadata

Cited literature [38 references]  Display  Hide  Download

Contributor : Cyril Soler Connect in order to contact the contributor
Submitted on : Wednesday, May 17, 2017 - 2:46:43 PM
Last modification on : Monday, November 8, 2021 - 9:48:08 AM


Distributed under a Creative Commons Attribution - NoDerivatives 4.0 International License




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⟩



Record views


Files downloads