Proceedings of the 18th 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
Partitioning and ordering large radiosity computations
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
The virtual mesh: a geometric abstraction for efficiently computing radiosity
ACM Transactions on Graphics (TOG)
Structured Penumbral Irradiance Computation
IEEE Transactions on Visualization and Computer Graphics
PHR: A Parallel Hierarchical Radiosity System with Dynamic Load Balancing
The Journal of Supercomputing
A ray tracing solution for diffuse interreflection
ACM SIGGRAPH 2007 courses
ACM SIGGRAPH 2008 classes
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The interreflection of light between surfaces is governed by an integral equation. Existing radiosity algorithms approximate the solution of this integral equation by transforming it into a system of linear equations. It is shown that such algorithms are simple applications of the finite element method. Techniques are presented for applying more advanced finite element techniques to the global illumination problem in order to yield more accurate results. First, piecewise-quadratic, and higher order elements are discussed as a superior alternative to current piecewise-constant radiosity assumptions. Second, Galerkin techniques are a more robust alternative to current point collocation (point sampling) techniques. Finally, occlusions in a scene give rise to discontinuities such as shadow edges in the solution function. Discontinuity meshing is introduced as a technique for resolving these discontinuities by adaptive placement of element boundaries. Illustrations, algorithms, and results are given for two-dimensional radiosity in flatland problems.