Title

Generalized Wavelet Product Integral For Rendering Dynamic Glossy Objects

Keywords

Basis function; Cast shadows; Function product; Haar wavelet; Product integral; Real-time rendering

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. Copyright © 2006 by the Association for Computing Machinery, Inc.

Publication Date

7-1-2006

Publication Title

ACM Transactions on Graphics

Volume

25

Issue

3

Number of Pages

955-966

Document Type

Article; Proceedings Paper

Personal Identifier

scopus

DOI Link

https://doi.org/10.1145/1141911.1141980

Socpus ID

33749246045 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/33749246045

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