Hodographs and normals of rational curves and surfaces

DOI10.1016/0167-8396(94)00023-LzbMath0875.68930OpenAlexW1997340674MaRDI QIDQ673508

Takafumi Saito, Guo-Jin Wang, Thomas W. Sederberg

Publication date: 28 February 1997

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

Full work available at URL: https://doi.org/10.1016/0167-8396(94)00023-l

zbMATH Keywords

Rational curvesHodographsNormal vectorsRational surfaces

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10)

Related Items (13)

A class of inequalities about Bernstein polynomial and their applications ⋮ Bounds on partial derivatives of NURBS surfaces ⋮ Partial derivatives of rational Bézier surfaces ⋮ On NURBS algorithms using tangent cones ⋮ Sufficient condition for injectivity of NURBS volumes by tangent cones ⋮ Hybrid polynomial approximation to higher derivatives of rational curves ⋮ A note on degenerate normal vectors ⋮ On the convergence of hybrid polynomial approximation to higher derivatives of rational curves ⋮ Improved algorithms for the projection of points on NURBS curves and surfaces ⋮ Computing normal vector Bézier patches ⋮ An improvement on the upper bounds of the magnitudes of derivatives of rational triangular Bézier surfaces ⋮ Computation of lower derivatives of rational triangular Bézier surfaces and their bounds estimation ⋮ Minimizing the maximal ratio of weights of a rational Bézier curve

Cites Work

• A survey of curve and surface methods in CAGD
• Rational hodographs
• Loop detection in surface patch intersections
• Derivatives of rational Bézier curves

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