Topologically reliable approximation of composite Bézier curves

DOI10.1016/0167-8396(95)00042-9zbMath0875.68872OpenAlexW2065331993MaRDI QIDQ1349936

Takashi Maekawa, Nicholas M. Patrikalakis, Wonjoon Cho

Publication date: 27 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(95)00042-9

zbMATH Keywords

Bucketing techniqueHomeomorphismInterval Bézier curvesPiecewise linear approximationSignificant pointsSubdivision method

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Approximation by other special function classes (41A30)

Related Items (5)

Isotopic equivalence by Bézier curve subdivision for application to high performance computing ⋮ Computational topology for approximations of knots ⋮ COMPLEXITY REDUCTION FOR SYMBOLIC COMPUTATION WITH RATIONAL B-SPLINES ⋮ Analysis and applications of pipe surfaces ⋮ Selfintersection of composite curves and surfaces

Cites Work

• On rational parametric curve approximation
• Approximation of high-degree and procedural curves
• Approximate conversion of rational splines
• Computation of the solutions of nonlinear polynomial systems
• Computation of singularities and intersections of offsets of planar curves
• Data point selection for piecewise linear curve approximation
• Approximate conversion of rational B-spline patches
• A 3-D contour segmentation scheme based on curvature and torsion
• Degree reduction of Bézier curves
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