Information
- Publication Type: Technical Report
- Workgroup(s)/Project(s): not specified
- Date: August 1998
- Number: TR-186-2-98-21
- Keywords: global ray-bundle tracing, light-tracing, Monte-Carlo Carlo integration, global radiance, Rendering equation
Abstract
This paper presents a single-pass, view-dependent method to solve t
he
rendering equation, using a stochastic iterational scheme where
the transport operator is selected randomly in each iteration.
The requirements of convergence are given for the general case.
To demonstrate the basic idea, a very simple, continuous
random transport
operator is examined, which gives back the light tracing
algorithm incorporating Russian roulette.
Then, a new mixed continuous and finite-element based
iteration method is proposed, which uses
ray-bundles to transfer the radiance in single random direction.
The resulting algorithm is fast, it provides initial results in seconds
and accurate solutions in minutes and
does not suffer from the error accumulation problem and
the high memory demand of other
finite-element and hierarchical approaches.
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BibTeX
@techreport{Szir-1998-Stoch,
title = "Stochastic Iteration for Non-diffuse Global Illumination",
author = "L\'{a}szl\'{o} Szirmay-Kalos",
year = "1998",
abstract = "This paper presents a single-pass, view-dependent method to
solve t he rendering equation, using a stochastic
iterational scheme where the transport operator is selected
randomly in each iteration. The requirements of convergence
are given for the general case. To demonstrate the basic
idea, a very simple, continuous random transport operator is
examined, which gives back the light tracing algorithm
incorporating Russian roulette. Then, a new mixed continuous
and finite-element based iteration method is proposed, which
uses ray-bundles to transfer the radiance in single random
direction. The resulting algorithm is fast, it provides
initial results in seconds and accurate solutions in minutes
and does not suffer from the error accumulation problem and
the high memory demand of other finite-element and
hierarchical approaches.",
month = aug,
number = "TR-186-2-98-21",
address = "Favoritenstrasse 9-11/E193-02, A-1040 Vienna, Austria",
institution = "Institute of Computer Graphics and Algorithms, Vienna
University of Technology ",
note = "human contact: technical-report@cg.tuwien.ac.at",
keywords = "global ray-bundle tracing, light-tracing, Monte-Carlo Carlo
integration, global radiance, Rendering equation",
URL = "https://www.cg.tuwien.ac.at/research/publications/1998/Szir-1998-Stoch/",
}