PN surfaces and their convolutions with rational surfaces

DOI10.1016/j.cagd.2008.06.011zbMath1172.14344OpenAlexW2083818365WikidataQ56479862 ScholiaQ56479862MaRDI QIDQ735539

Miroslav Lávička, Bohumír Bastl

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.2008.06.011

zbMATH Keywords

convolution surfacesoffsetsPN surfacesproper parameterizationsrational parameterizationssquare-root parameterizations

Mathematics Subject Classification ID

Computer science aspects of computer-aided design (68U07) Computational aspects of algebraic surfaces (14Q10) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Computational aspects of algebraic curves (14Q05) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (10)

A quaternion approach to polynomial PN surfaces ⋮ Surfaces with Pythagorean normals along rational curves ⋮ On the construction of polynomial minimal surfaces with Pythagorean normals ⋮ \(G^{1}\) Hermite interpolation by PH cubics revisited ⋮ Rational generalized offsets of rational surfaces ⋮ Approximate convolution with pairs of cubic Bézier LN curves ⋮ Exploring hypersurfaces with offset-like convolutions ⋮ A unified Pythagorean hodograph approach to the medial axis transform and offset approximation ⋮ Circle approximation using LN Bézier curves of even degree and its application ⋮ Reparameterization of Curves and Surfaces with Respect to Their Convolution

Cites Work

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