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This document explores the intricate applications of wavelet techniques in rendering 3D graphics. It covers the basics of rendering, including direct illumination and path tracing, with notable insights from experts like Ren Ng and Pat Hanrahan from Stanford University. The outline features a detailed review of Haar wavelets, discussion on triple product integrals for all-frequency relighting, and advanced techniques such as wavelet importance sampling. This comprehensive overview aids in understanding how wavelet theory enhances graphic rendering and image quality in modern applications.
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Wavelet Applications for Rendering Speaker: Yung Chum Lu
Outline • Introduction of Rendering • Application I • Application II • Review Haar • Something Interesting
Path Tracing point light point light point light point light
Review of 1-D Haar 1 0 1 Mother Basis -1 General Basis 0 1 Scaled Basis 0 1
Property 1 1 0 1 -1 0 1
Property 2 1 0 1 -1
Property 3 0 1 0 1
Application I Triple Product Wavelet Integrals for All-Frequency Relighting Ren Ng Stanford University Pat Hanrahan Stanford University Ravi Ramamoorthi Columbia University
2-D Haar 0 1 1 0 1
Application II Wavelet Importance Sampling: Efficiently Evaluating Products of Complex Functions PetrikClarberg Lund University / UC San Diego Wojciech Jarosz UC San Diego Henrik Wann Jensen UC San Diego Tomas Akenine-M¨oller Lund University
Light Field Camera Ren Ng