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Erschienen in:
2019 | OriginalPaper | Buchkapitel
Ray-Tracing Objects and Novel Surface Representations in CGA
verfasst von : Sushant Achawal, Joan Lasenby, Hugo Hadfield, Anthony Lasenby
Erschienen in: Advances in Computer Graphics
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Abstract
Conformal Geometric Algebra (CGA) provides a unified representation of both geometric primitives and conformal transformations, and as such holds great promise in the field of computer graphics [1‐3]. In this paper we implement a simple ray tracer in CGA with a Blinn-Phong lighting model and use it to examine ray intersections with surfaces generated from interpolating between objects [7]. An analytical method for finding the normal line to these interpolated surfaces is described. The expression is closely related to the concept of surface principal curvature from differential geometry and provides a novel way of describing the curvature of evolving surfaces.