Illumination from curved reflectors

Abstract
A technique is presented to compute the refkted illumination from curved mirror surfaces onto other surfaces. In accordance with Fermat’s principle, this is equivalent to fiiding extremal paths from the light source to the visible surface via the mirrors. Once pathways of illumination are found, h-radiance is computed from the Gaussian curvature of the geometrical wavefront. Techniques from optics, differential geometry and interval analysis are applied to this problem in global illumination. CR Categories and Subject Descriptions: 1.3.3 [ Computer Graphics ]: Picture/Image Generation; 1.3.7 [ Computer Graphics ]: Three-Dimensional Graphics and Realism

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