JF IEEE Transactions on Visualization & Computer Graphics

YR 2013

VO 19

IS

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