Computer Graphics, 26,2, July 1992 Illumination from Curved Reflectors Don Mitchell ? Pat Hanrahan $ t AT&T Bell Laboratories ~ t Princeton University 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 General Terms: Algorithms Additional Keywords and Phrases: Automatic Differentiation, Caustics, Differential Geometry, Geometrical Optics, Global Illumination, Interval Arithmetic, Ray Tracing, Wavefionts P Figure 1. Reflected Visual Rays This model simulates the effect of seeing the scene reflected in a mirror or refkted through glass, but it does not extend the notion of illumination. Once a visual ray arrives at a point p, the shading calculation is liited to the dirtxt component of illuminationjust the effect of light traveling directly from
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Illumination from curved reflectors
Mitchell, Don; Hanrahan, Pat
Follow ACM SIGGRAPH Computer Graphics
, Volume 26 (2)
Association for Computing Machinery – Jul 1, 1992
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