COMPLEXITY REDUCTION FOR SYMBOLIC COMPUTATION WITH RATIONAL B-SPLINES

DOI10.1142/S0218654307000932zbMath1142.68571OpenAlexW2043964987MaRDI QIDQ3503022

Xianming Chen, Richard F. Riesenfeld, Elaine Cohen

Publication date: 20 May 2008

Published in: International Journal of Shape Modeling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218654307000932

zbMATH Keywords

torsiondegree reductionevolutezero curvaturebisector surfacetangent developablerectifying developablenormal scrollcritical curvaturefocal curvebinormal scrollbisector curveNURBS symbolic computation

Mathematics Subject Classification ID

Computer science aspects of computer-aided design (68U07) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

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Cites Work

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• Some identities for product and degree raising of splines
• Knot removal for parametric B-spline curves and surfaces
• Algorithms for polynomials in Bernstein form
• Computation of the solutions of nonlinear polynomial systems
• The bisector of a point and a plane parametric curve
• Algorithm for degree reduction of \(B\)-spline curves
• Topologically reliable approximation of composite Bézier curves
• Bisector curves of planar rational curves.
• Analytic properties of plane offset curves
• ERROR BOUNDED VARIABLE DISTANCE OFFSET OPERATOR FOR FREE FORM CURVES AND SURFACES
• Functional composition algorithms via blossoming
• Second-order surface analysis using hybrid symbolic and numeric operators