A unified Pythagorean hodograph approach to the medial axis transform and offset approximation
type: Item
instance of: scholarly article
title: A unified Pythagorean hodograph approach to the medial axis transform and offset approximation
zbMATH Open document ID: 1217.65041
author: Jiří Kosinka
author: Miroslav Lávička
published in: Journal of Computational and Applied Mathematics
publication date: 2011-05-17T00:00:00Z
Mathematics Subject Classification ID: 65D17
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 51B20
zbMATH DE Number: 5895472
zbMATH Keywords: Pythagorean hodograph curve
zbMATH Keywords: medial axis transform
zbMATH Keywords: Minkowski space
zbMATH Keywords: Hermite interpolation
zbMATH Keywords: trimmed offsets
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
full work available at URL: j.cam.2011.02.001
OpenAlex ID: W2058900232
Wikidata QID: Q114202154
cites work: Rational parametrization of quadrics and their offsets
cites work: Parametric generalized offsets to hypersurfaces
cites work: Genus formula for generalized offset curves
cites work: An overview of offset curves and surfaces.
cites work: Algebraic analysis of offsets to hypersurfaces
cites work: Rational hypersurfaces with rational convolutions
cites work: On convolutions of algebraic curves
cites work: Pythagorean-hodograph space curves
cites work: Q4461977
cites work: Euclidean and Minkowski Pythagorean hodograph curves over planar cubics
cites work: Rational space curves are not ``unit speed''
cites work: $C^2$ Hermite interpolation by Pythagorean Hodograph space curves
cites work: Rational curves and surfaces with rational offsets
cites work: Q4336074
cites work: Computing exact rational offsets of quadratic triangular Bézier surface patches
cites work: PN surfaces and their convolutions with rational surfaces
cites work: Pythagorean-hodograph curves. Algebra and geometry inseparable
cites work: Medial axis transform and offset curves by Minkowski Pythagorean hodograph curves.
cites work: Minkowski Pythagorean hodographs
cites work: On rational Minkowski Pythagorean hodograph curves
cites work: Clifford algebra, spin representation, and rational parameterization of curves and surfaces
cites work: Q3606415
cites work: \(G^{1}\) Hermite interpolation by Minkowski Pythagorean hodograph cubics
cites work: \(C^{1}\) Hermite interpolation by Pythagorean hodograph quintics in Minkowski space
cites work: \(C^{2}\) Hermite interpolation by Minkowski Pythagorean hodograph curves and medial axis transform approximation
cites work: Low Degree Euclidean and Minkowski Pythagorean Hodograph Curves
cites work: Mathematical theory of medial axis transform
cites work: Q4336068
cites work: Studying cyclides with Laguerre geometry
cites work: A Laguerre geometric approach to rational offsets
cites work: Applications of Laguerre geometry in CAGD
cites work: \(G^{1}\) Hermite interpolation by PH cubics revisited
cites work: Geometric Hermite interpolation with Tschirnhausen cubics
cites work: Geometric Lagrange interpolation by planar cubic Pythagorean-hodograph curves
cites work: Approximating smooth planar curves by arc splines
cites work: Hermite interpolation by hypocycloids and epicycloids with rational offsets
cites work: Computational and Structural Advantages of Circular Boundary Representation
cites work: Rational two-parameter families of spheres and rational offset surfaces
DOI: 10.1016/J.CAM.2011.02.001
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description: scientific article; zbMATH DE number 5895472