Rational hypersurfaces with rational convolutions
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Publication:733436
DOI10.1016/j.cagd.2007.04.006zbMath1171.65341OpenAlexW2052091556WikidataQ56479875 ScholiaQ56479875MaRDI QIDQ733436
Miroslav Lávička, Bohumír Bastl
Publication date: 16 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.2007.04.006
rational curves and surfacesoffsetsconvolution hypersurfacesGRC hypersurfacesquadratic triangular Bézier surfaces
Computer science aspects of computer-aided design (68U07) Computational aspects of algebraic surfaces (14Q10) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Computer-aided design (modeling of curves and surfaces) (65D17)
Related Items
A quaternion approach to polynomial PN surfaces, Hermite interpolation by hypocycloids and epicycloids with rational offsets, Approximate Bézier curves by cubic LN curves, Note on planar Pythagorean hodograph curves of Tschirnhaus type, Cissoid constructions of augmented rational ruled surfaces, Exploring hypersurfaces with offset-like convolutions, A unified Pythagorean hodograph approach to the medial axis transform and offset approximation, On convolutions of algebraic curves, Reparameterization of Curves and Surfaces with Respect to Their Convolution, On rationally supported surfaces, PN surfaces and their convolutions with rational surfaces, Geometric shape analysis for convolution curve of two compatible quadratic Bézier curves
Cites Work
- Rational curves and surfaces with rational offsets
- Convolution surfaces of quadratic triangular Bézier surfaces
- A Laguerre geometric approach to rational offsets
- The 42 equivalence classes of quadratic surfaces in affine \(n\)-space
- Pythagorean-hodograph space curves
- Polynomial algorithms in computer algebra
- Rational surfaces with linear normals and their convolutions with rational surfaces
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