“Galerkin radiosity: a higher order solution method for global illumination” by Zatz

This paper presents an alternative radiosity formulation using piecewise
smooth radiance functions that incorporates curved surfaces directly. Using the Galerkin integral equation technique as a mathematical foundation,
surface radiance functions are approximated by polynomials. This model
eliminates the need for a posteriori rendering interpolation, and allows the
direct use of non-planar parametric surfaces. Convergence problems due to
singularities in the radiosity kernel are analyzed and rectified, and sources
of approximation error are examined. The incorporation of a shadow masking technique vastly reduces the need for meshing and associated storage
space—accurate radiosity calculations can often be made with no meshing.
The technique is demonstrated on traditional radiosity scenes, as well as
environments with untessellated curved surfaces

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