Radiosity--Calculations for Rotational Surfaces

Helmut Mastal, Robert F. Tobler, Werner Purgathofer
Radiosity--Calculations for Rotational Surfaces
TR-186-2-98-27, October 1998 [paper]

Information

Abstract

Rotational Surfaces are very important for photorealistic representations of plants and other natural phenomena. In this paper radiosity calculations for rotational surfaces are presented that handle surfaces as whole objects rather than approximating them by large numbers of plane patches. Mathematical expressions are given for the radiance of cylinders, cones and spheres that are ideal Lambertian reflectors. Although there exists no complete radiosity algorithm which uses the formulae for cylinders, cones and spheres at the moment, it can be estimated that the number of objects of a global illumination scene as well as the number of interactions could be reduced dramatically. Therefore it should be possible to render more complex scenes with plants, like forests, in reasonable time.

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BibTeX

@techreport{Mastal-1998-Rad,
  title =      "Radiosity--Calculations for Rotational Surfaces",
  author =     "Helmut Mastal and Robert F. Tobler and Werner Purgathofer",
  year =       "1998",
  abstract =   "Rotational Surfaces are very important for photorealistic
               representations of plants and other natural phenomena. In
               this paper radiosity calculations for rotational surfaces
               are presented that handle surfaces as whole objects rather
               than approximating them by large numbers of plane patches.
               Mathematical expressions are given for the radiance of
               cylinders, cones and spheres that are ideal Lambertian
               reflectors.   Although there exists no complete radiosity
               algorithm which uses the formulae for cylinders, cones and
               spheres at the moment, it can be estimated that the number
               of objects of a global illumination scene as well as the
               number of interactions could be reduced dramatically.
               Therefore it should be possible to render more complex
               scenes with plants, like forests, in reasonable time.",
  month =      oct,
  number =     "TR-186-2-98-27",
  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 =   "natural phenomena, rotational surfaces, radiosity",
  URL =        "https://www.cg.tuwien.ac.at/research/publications/1998/Mastal-1998-Rad/",
}