Analytic Double Product Integrals for All-Frequency Relighting

Authors:
Rui Wang;Minghao Pan;Weifeng Chen;Zhong Ren;Kun Zhou;Wei Hua;Hujun Bao
Affiliations:
Zhejiang University, Hangzhou;Zhejiang University, Hangzhou;Zhejiang University, Hangzhou;Zhejiang University, Hangzhou;Zhejiang University, Hangzhou;Zhejiang University, Hangzhou;Zhejiang University, Hangzhou
Venue:
IEEE Transactions on Visualization and Computer Graphics
Year:
2013

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A practical algorithm for rendering interreflections with all-frequency BRDFs

ACM Transactions on Graphics (TOG)
Special Section on CAD/Graphics 2013: Parallel and adaptive visibility sampling for rendering dynamic scenes with spatially varying reflectance

Computers and Graphics

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Abstract

This paper presents a new technique for real-time relighting of static scenes with all-frequency shadows from complex lighting and highly specular reflections from spatially varying BRDFs. The key idea is to depict the boundaries of visible regions using piecewise linear functions, and convert the shading computation into double product integrals—the integral of the product of lighting and BRDF on visible regions. By representing lighting and BRDF with spherical Gaussians and approximating their product using Legendre polynomials locally in visible regions, we show that such double product integrals can be evaluated in an analytic form. Given the precomputed visibility, our technique computes the visibility boundaries on the fly at each shading point, and performs the analytic integral to evaluate the shading color. The result is a real-time all-frequency relighting technique for static scenes with dynamic, spatially varying BRDFs, which can generate more accurate shadows than the state-of-the-art real-time PRT methods.