Construction of Bézier rectangles and triangles on the symmetric Dupin horn cyclide by means of inversion

DOI10.1016/S0167-8396(97)00002-2zbMath0906.68169OpenAlexW2025782335MaRDI QIDQ1392266

Wendelin L. F. Degen, Gudrun Albrecht

Publication date: 23 July 1998

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

Full work available at URL: https://doi.org/10.1016/s0167-8396(97)00002-2

zbMATH Keywords

inversionDupin cycliderational rectangular and triangular Bézier representation

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

Related Items (3)

Isothermic Surfaces Generated via Bäcklund and Moutard Transformations: Boomeron and Zoomeron Connections ⋮ Computation of Yvon-Villarceau circles on Dupin cyclides and construction of circular edge right triangles on tori and Dupin cyclides ⋮ Applications of Laguerre geometry in CAGD

Cites Work

• Cyclides in computer aided geometric design. II
• Cyclides in computer aided geometric design
• Die zweifachen Blutelschen Kegelschnittflächen
• A new intersection algorithm for cyclides and swept surfaces using circle decomposition
• Intuitive procedure for constructing geometrically complex objects using cyclides
• Quartic supercyclides I: Basic theory
• Least squares surface approximation to scattered data using multiquadratic functions
• Geometric Hermite interpolation -- in memoriam Josef Hoschek
• Pythagorean Triples in Uniquef Factorization Domains
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