## Information

- Publication Type: Technical Report
- Workgroup(s)/Project(s): not specified
- Date: January 1995
- Number: TR-186-2-95-3
- Keywords: rendering, radiosity, stochastic, raytracing

## Abstract

This paper solves the system of radiosity
equations with a numerical approach rather than
with a physical interpretation as most current
algorithms do. Due to the high complexity of the
problem for highly complex scenes, a stochastic
variation of Jacobi iteration is developed which
converges stochastically to the correct solution.
The new method, called Stochastic Ray Method, is a
significant improvement of Stochastic Radiosity. A
large number of independent rays is chosen
stochastically by importance sampling of the
patches according to their power after the previous
iteration step. They all carry an equal amount of
power into random directions, thereby representing
together the total energy interreflection of the
entire environment in a stochastic manner.
Assuming a correctly distributed initial solution,
which can be reached easily, the iteration
process converges quickly and reduces the error
in the result faster than other stochastic
radiosity approaches. The new algorithm can
easily be extended to treat various phenomena which
are normally rather costly to incorporate in
radiosity environments: specular reflection and
specular transmittance, non-diffuse emission and
point light sources.

## Additional Files and Images

## Weblinks

No further information available.

## BibTeX

@techreport{Neumann-1995-SRM,
title = "The Stochastic Ray Method for Radiosity",
author = "L\'{a}szl\'{o} Neumann and Werner Purgathofer and Robert F.
Tobler and Attila Neumann and Pavol Elias and Martin Feda
and Xavier Pueyo",
year = "1995",
abstract = "This paper solves the system of radiosity equations with a
numerical approach rather than with a physical
interpretation as most current algorithms do. Due to the
high complexity of the problem for highly complex scenes, a
stochastic variation of Jacobi iteration is developed which
converges stochastically to the correct solution. The new
method, called Stochastic Ray Method, is a significant
improvement of Stochastic Radiosity. A large number of
independent rays is chosen stochastically by importance
sampling of the patches according to their power after the
previous iteration step. They all carry an equal amount of
power into random directions, thereby representing together
the total energy interreflection of the entire environment
in a stochastic manner. Assuming a correctly distributed
initial solution, which can be reached easily, the iteration
process converges quickly and reduces the error in the
result faster than other stochastic radiosity approaches.
The new algorithm can easily be extended to treat various
phenomena which are normally rather costly to incorporate in
radiosity environments: specular reflection and specular
transmittance, non-diffuse emission and
point light sources.",
month = jan,
number = "TR-186-2-95-3",
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 = "rendering, radiosity, stochastic, raytracing",
URL = "https://www.cg.tuwien.ac.at/research/publications/1995/Neumann-1995-SRM/",
}