Issue No.07 - July (2013 vol.19)

pp: 1133-1142

Rui Wang , State Key Lab. of CAD&CG, Zhejiang Univ., Hangzhou, China

Minghao Pan , State Key Lab. of CAD&CG, Zhejiang Univ., Hangzhou, China

Weifeng Chen , State Key Lab. of CAD&CG, Zhejiang Univ., Hangzhou, China

Zhong Ren , State Key Lab. of CAD&CG, Zhejiang Univ., Hangzhou, China

Kun Zhou , State Key Lab. of CAD&CG, Zhejiang Univ., Hangzhou, China

Wei Hua , State Key Lab. of CAD&CG, Zhejiang Univ., Hangzhou, China

Hujun Bao , State Key Lab. of CAD&CG, Zhejiang Univ., Hangzhou, China

DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/TVCG.2012.152

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

Rui Wang, Minghao Pan, Weifeng Chen, Zhong Ren, Kun Zhou, Wei Hua, Hujun Bao, "Analytic Double Product Integrals for All-Frequency Relighting",

*IEEE Transactions on Visualization & Computer Graphics*, vol.19, no. 7, pp. 1133-1142, July 2013, doi:10.1109/TVCG.2012.152REFERENCES