A Ray tracing algorithm for progressive radiosity
SIGGRAPH '89 Proceedings of the 16th annual conference on Computer graphics and interactive techniques
Improving radiosity solutions through the use of analytically determined form-factors
SIGGRAPH '89 Proceedings of the 16th annual conference on Computer graphics and interactive techniques
A general two-pass method integrating specular and diffuse reflection
SIGGRAPH '89 Proceedings of the 16th annual conference on Computer graphics and interactive techniques
Acceleration techniques for progressive refinement radiosity
I3D '90 Proceedings of the 1990 symposium on Interactive 3D graphics
A progressive multi-pass method for global illumination
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Linear radiosity approximation using vertex-to-vertex form factors
Graphics Gems III
On the form factor between two polygons
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
Radiosity algorithms using higher order finite element methods
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
Galerkin radiosity: a higher order solution method for global illumination
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
SIGGRAPH '85 Proceedings of the 12th annual conference on Computer graphics and interactive techniques
The hemi-cube: a radiosity solution for complex environments
SIGGRAPH '85 Proceedings of the 12th annual conference on Computer graphics and interactive techniques
Statistically optimized sampling for distributed ray tracing
SIGGRAPH '85 Proceedings of the 12th annual conference on Computer graphics and interactive techniques
Antialiasing through stochastic sampling
SIGGRAPH '85 Proceedings of the 12th annual conference on Computer graphics and interactive techniques
Algorithm 611: Subroutines for Unconstrained Minimization Using a Model/Trust-Region Approach
ACM Transactions on Mathematical Software (TOMS)
An improved illumination model for shaded display
Communications of the ACM
A progressive refinement approach to fast radiosity image generation
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
Modeling the interaction of light between diffuse surfaces
SIGGRAPH '84 Proceedings of the 11th annual conference on Computer graphics and interactive techniques
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The hemicube estimates of form factors are based on a finite set of sample directions. We obtain several optimal arrangements of sample directions, which minimize the variance of these estimates. They are based on changing the size or shape of the pixels or the shape of the hemicube, or using non-uniform pixel grids. The best reduces the variance by 43%.The variance calculation is based on the assumption that the errors in the estimate are caused by the projections of single polygon edges, and that the positions and orientations of these edges are random. This replaces the infinite dimensional space of possible environments by the two dimensional space of great circles on the unit sphere, making the numerical variance minimization possible.