Computing exact rational offsets of quadratic triangular Bézier surface patches

DOI10.1016/j.cad.2007.10.008zbMath1206.65071OpenAlexW1965207295WikidataQ56479854 ScholiaQ56479854MaRDI QIDQ628194

Miroslav Lávička, Jiří Kosinka, Bert Jüttler, Bohumír Bastl

Publication date: 4 March 2011

Published in: CAD. Computer-Aided Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cad.2007.10.008

zbMATH Keywords

convolution surfacesoffsetsquadratic Bézier triangular surface patchesSteiner surfaces

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)

Related Items (10)

Smooth surface interpolation using patches with rational offsets ⋮ Completeness of generating systems for quadratic splines on adaptively refined criss-cross triangulations ⋮ Hermite interpolation by piecewise polynomial surfaces with polynomial area element ⋮ A quaternion approach to polynomial PN surfaces ⋮ 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 ⋮ PN surfaces and their convolutions with rational surfaces

Uses Software

• GAIA

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