Title
Analytic double product integrals for all-frequency relighting.
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.
Year
DOI
Venue
2013
10.1109/TVCG.2012.152
IEEE Trans. Vis. Comput. Graph.
Keywords
Field
DocType
product integrals,integral equations,gaussian processes,image processing,lighting,all-frequency relighting,real-time all-frequency,all frequency relighting,shading computation,spherical gaussians,analytic double product integrals,legendre polynomials,all-frequency shadows,analytic integral,real-time all-frequency relighting technique,complex lighting,real-time static scene relighting,shading point,shading color,visible region,specular reflections,static scene,real-time relighting,analytic double product integral,piecewise linear techniques,new technique,double product integrals,piecewise linear functions,spatially varying brdfs,double product integral,real-time systems,state-of-the-art real-time prt methods,linear approximation,real time systems,computer graphics
Linear approximation,Bidirectional reflectance distribution function,Computer vision,Visibility,Computer science,Image processing,Legendre polynomials,Integral equation,Artificial intelligence,Piecewise linear function,Computation
Journal
Volume
Issue
ISSN
19
7
1941-0506
Citations 
PageRank 
References 
3
0.37
0
Authors
7
Name
Order
Citations
PageRank
Rui Wang148933.21
Minghao Pan21326.00
Weifeng Chen3501.66
Zhong Ren422712.88
Kun Zhou53690159.79
wei hua625519.27
Hujun Bao72801174.65