NDLI: Generalized wavelet product integral for rendering dynamic glossy objects

Content Provider	ACM Digital Library
Author	Sun, Weifeng Mukherjee, Amar
Copyright Year	2006
Abstract	We consider real-time rendering of dynamic glossy objects with realistic shadows under distant all-frequency environment lighting. Previous PRT approaches pre-compute light transport for a fixed scene and cannot account for cast shadows on high-glossy objects occluded by dynamic neighbors. In this paper, we extend double/triple product integral to generalized multi-function product integral. We represent shading integral at each vertex as the product integral of multiple functions, involving the lighting, BRDF, local visibility and dynamic occlusions. Our main contribution is a new mathematical representation and analysis of multi-function product integral in the wavelet domain. We show that multi-function product integral in the primal corresponds to the summation of the product of basis coefficients and integral coefficients. We propose a novel generalized Haar integral coefficient theorem to evaluate arbitrary Haar integral coefficients. We present an efficient sub-linear algorithm to render dynamic glossy objects under time-variant all-frequency lighting and arbitrary view conditions in a few seconds on a commodity CPU, orders of magnitude faster than previous techniques. To further accelerate shadow computation, we propose a Just-in-time Radiance Transfer (JRT) technique. JRT is a new generalization to PRT for dynamic scenes. It is compact and flexible, and supports glossy materials. By pre-computing radiance transfer vectors at runtime, we demonstrate rendering dynamic view-dependent all-frequency shadows in real-time.
Starting Page	955
Ending Page	966
Page Count	12
File Format	PDF
ISSN	07300301
e-ISSN	15577368
DOI	10.1145/1141911.1141980
Volume Number	25
Issue Number	3
Journal	ACM Transactions on Graphics (TOG)
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	2006-07-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Basis function Cast shadows Function product Haar wavelet Product integral Real-time rendering
Content Type	Text
Resource Type	Article
Subject	Computer Graphics and Computer-Aided Design

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