Applications and Comparison of Different Mathematical Methods to Compute Form Factors for “Radiosity Images”

  • F. Bresciani
  • P. P. Rinaldi
  • F. Tapparo
Part of the IFIP Series on Computer Graphics book series (IFIP SER.COMP.)


A fundamental problem in synthetic images is to determine a correct light interaction between surfaces in an environment.

The radiosity method is an algorithm based on theories used in thermal engineering that includes effects of reflection between ideal diffuse surfaces. The computation of geometric factors (Form Factors), which describes the energy exchange between surfaces, represents the most expensive part of computational time necessary to generate a synthetic image.

This paper aims to analyze different approaches to compute form factors. Subsequently, we make a numerical comparison of the results and provide the evaluation of the relative errors and of the computational time.

At the end we present some simple images generated with the different approaches discussed in this paper.


Form Factor Synthetic Image Global Illumination Finite Area Configuration Factor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    R. Siegel and J.R. Howell, Thermal Radiation Heat Transfer. Hemisphere Publishing Corp., Washington, DC, 1981Google Scholar
  2. 2.
    M.F. Choen and D.P. Greenberg, “The hemicube, a radiosity solution for complex environments”, ACM Computer Graphics (SIGGRAPH ’85) 19, no. 3, 31–40Google Scholar
  3. 3.
    M.F. Choen, D.. Greenberg, D.S. Immel, and P.J. Broch, “An efficient radiosity approach for realistic image synthesis”, IEEE Computer Graphics and Application 19, no. 2, 26–33Google Scholar
  4. 4.
    F.M. Sparrow, “A new and simpler formulation for radiative angle factors”, Journal of Heat Transfer, pp. 81–89, May 1963Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

  • F. Bresciani
  • P. P. Rinaldi
  • F. Tapparo

There are no affiliations available

Personalised recommendations