Exploring novel surface representations via an experimental ray-tracer in CGA

DOI10.1007/s00006-021-01117-8OpenAlexW3127742513MaRDI QIDQ2661141

H. Hadfield, Anthony Lasenby, Sushant Achawal, Benjamin J. Young, Joan Lasenby

Publication date: 1 April 2021

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-021-01117-8

zbMATH Keywords

ray-tracingconformal geometric algebramesh geometrysurface curvaturedirect object interpolation

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Euclidean analytic geometry (51N20) Differential geometry of submanifolds of Möbius space (53A31)

Related Items (2)

Unnamed Item ⋮ New applications of Clifford's geometric algebra

Uses Software

• GitHub
• Garamon
• ganja.js
• clifford

Cites Work

• Unnamed Item
• Generating fractals using geometric algebra
• Clifford algebra to geometric calculus. A unified language for mathematics and physics
• Computing rational parametrizations of canal surfaces
• Quadric conformal geometric algebra of \({\mathbb {R}}^{9,6}\)
• Garamon: a geometric algebra library generator
• Direct linear interpolation of geometric objects in conformal geometric algebra
• Composing surfaces with conformal rotors
• Square Root and Logarithm of Rotors in 3D Conformal Geometric Algebra Using Polar Decomposition

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