On rationally supported surfaces

DOI10.1016/j.cagd.2007.10.005zbMath1172.53303OpenAlexW2078130976MaRDI QIDQ735475

Bert Jüttler, Jens Gravesen, Zbyněk Šír

Publication date: 22 October 2009

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2007.10.005

zbMATH Keywords

LN-surfacesrational support functiontriangular quadratic Bézier surface patches

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Spline approximation (41A15) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (13)

Smooth surface interpolation using patches with rational offsets ⋮ Parameterizing surfaces with certain special support functions, including offsets of quadrics and rationally supported surfaces ⋮ Support function at inflection points of planar curves ⋮ Identifying and approximating monotonous segments of algebraic curves using support function representation ⋮ Generalized plane offsets and rational parameterizations ⋮ Geometric Hermite interpolation by rational curves of constant width ⋮ Hermite interpolation by hypocycloids and epicycloids with rational offsets ⋮ Approximate convolution with pairs of cubic Bézier LN curves ⋮ Exploring hypersurfaces with offset-like convolutions ⋮ On convolutions of algebraic curves ⋮ Reparameterization of Curves and Surfaces with Respect to Their Convolution ⋮ PN surfaces and their convolutions with rational surfaces ⋮ The geometry of the Moineau pump

Cites Work

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• Rational curves and surfaces with rational offsets
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• Surfaces parametrized by the normals
• On \(C^{2}\)-smooth surfaces of constant width
• A Laguerre geometric approach to rational offsets
• The 42 equivalence classes of quadratic surfaces in affine \(n\)-space
• Fitting scattered data on sphere-like surfaces using spherical splines
• Curves and surfaces represented by polynomial support functions
• Rational surfaces with linear normals and their convolutions with rational surfaces
• Surfaces with Piecewise Linear Support Functions over Spherical Triangulations

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