Piecewise rational approximation of square-root parameterizable curves using the Weierstrass form

DOI10.1016/j.cagd.2017.08.001zbMath1377.65020OpenAlexW2744718697MaRDI QIDQ1680957

Michal Bizzarri, Jan Vršek, Miroslav Lávička

Publication date: 17 November 2017

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

Full work available at URL: http://hdl.handle.net/11025/29225

zbMATH Keywords

algorithmnumerical examplehyperelliptic curvesWeierstrass formrational approximationtopological graphsquare-root parameterization

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (2)

Computing the topology of a plane or space hyperelliptic curve ⋮ Computing projective equivalences of planar curves birationally equivalent to elliptic and hyperelliptic curves

Cites Work

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• Continuous detection of the variations of the intersection curve of two moving quadrics in 3-dimensional projective space
• Approximate parametrization of plane algebraic curves by linear systems of curves
• On rational Minkowski Pythagorean hodograph curves
• Contour curves and isophotes on rational ruled surfaces
• A predictor-corrector-type technique for the approximate parameterization of intersection curves
• Pythagorean-hodograph curves. Algebra and geometry inseparable
• A Laguerre geometric approach to rational offsets
• Genus formula for generalized offset curves
• The bisector of a point and a plane parametric curve
• Parametric generalized offsets to hypersurfaces
• An overview of offset curves and surfaces.
• Bisector curves of planar rational curves.
• An efficient method for analyzing the topology of plane real algebraic curves.
• Algebraic analysis of offsets to hypersurfaces
• Applications of Laguerre geometry in CAGD
• Medial axis transforms yielding rational envelopes
• Algebro-geometric analysis of bisectors of two algebraic plane curves
• Robust approximation of offsets, bisectors, and medial axes of plane curves
• Reducibility of offsets to algebraic curves
• A symbolic-numerical approach to approximate parameterizations of space curves using graphs of critical points
• Studying cyclides with Laguerre geometry
• Offsets, conchoids and pedal surfaces
• Surfaces with Pythagorean normals along rational curves
• An algorithm to parametrize approximately space curves
• Certified rational parametric approximation of real algebraic space curves with local generic position method
• Computation of the topology of real algebraic space curves
• Bisectors and Voronoï Diagram of a Family of Parallel Half-Lines
• Computing quadric surface intersections based on an analysis of plane cubic curves
• On the topology of planar algebraic curves
• Computational line geometry

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