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Issue No. 07 - July (2013 vol. 19)
ISSN: 1077-2626
pp: 1133-1142
Kun Zhou , State Key Lab. of CAD&CG, Zhejiang Univ., Hangzhou, China
Hujun Bao , State Key Lab. of CAD&CG, Zhejiang Univ., Hangzhou, China
Wei Hua , State Key Lab. of CAD&CG, Zhejiang Univ., Hangzhou, China
Zhong Ren , State Key Lab. of CAD&CG, Zhejiang Univ., Hangzhou, China
Weifeng Chen , State Key Lab. of CAD&CG, Zhejiang Univ., Hangzhou, China
Minghao Pan , State Key Lab. of CAD&CG, Zhejiang Univ., Hangzhou, China
Rui Wang , State Key Lab. of CAD&CG, Zhejiang Univ., Hangzhou, China
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.
INDEX TERMS
Lighting, Integral equations, Piecewise linear approximation, Computer graphics, Real time systems, Linear approximation, all frequency relighting, Analytic double product integral
CITATION
Kun Zhou, Hujun Bao, Wei Hua, Zhong Ren, Weifeng Chen, Minghao Pan, Rui Wang, "Analytic Double Product Integrals for All-Frequency Relighting", IEEE Transactions on Visualization & Computer Graphics, vol. 19, no. , pp. 1133-1142, July 2013, doi:10.1109/TVCG.2012.152
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