RT Journal Article
JF IEEE Transactions on Visualization & Computer Graphics
YR 2013
VO 19
SP 1133
TI Analytic Double Product Integrals for All-Frequency Relighting
A1 Kun Zhou,
A1 Hujun Bao,
A1 Wei Hua,
A1 Zhong Ren,
A1 Weifeng Chen,
A1 Minghao Pan,
A1 Rui Wang,
K1 Lighting
K1 Integral equations
K1 Piecewise linear approximation
K1 Computer graphics
K1 Real time systems
K1 Linear approximation
K1 all frequency relighting
K1 Analytic double product integral
AB 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.
PB IEEE Computer Society, [URL:http://www.computer.org]
SN 1077-2626
LA English
DO 10.1109/TVCG.2012.152
LK http://doi.ieeecomputersociety.org/10.1109/TVCG.2012.152