CUED Publications database

Ray-Tracing Objects and Novel Surface Representations in CGA

Achawal, S and Lasenby, J and Hadfield, H and Lasenby, A (2019) Ray-Tracing Objects and Novel Surface Representations in CGA. In: CGI 2019 Engage Workshop, -- to -- pp. 578-584..

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Abstract

© Springer Nature Switzerland AG 2019. 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.

Item Type: Conference or Workshop Item (UNSPECIFIED)
Subjects: UNSPECIFIED
Divisions: Div F > Signal Processing and Communications
Depositing User: Cron Job
Date Deposited: 02 Aug 2019 16:20
Last Modified: 02 Sep 2021 04:47
DOI: 10.1007/978-3-030-22514-8_58