Almost universal parametrizations for cubic surfaces

DOI10.1016/S0167-8396(03)00024-4zbMath1069.65560OpenAlexW2066144434MaRDI QIDQ2388504

Rainer Müller

Publication date: 14 September 2005

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-8396(03)00024-4

zbMATH Keywords

interpolationcubic surfacesparabolic cyclidesalmost universal parametrizationrational curves and patches

Mathematics Subject Classification ID

Computer science aspects of computer-aided design (68U07) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)

Cites Work

• Rational parametric representation of parabolic cyclide: Formulation and applications
• An algebraic approach to curves and surfaces on the sphere and on other quadrics
• Cyclides in computer aided geometric design
• On cyclides in geometric modeling
• Minimal rational parametrizations of canal surfaces
• Toric surface patches
• Universal parametrization and interpolation on cubic surfaces
• Studying cyclides with Laguerre geometry
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