Geometric Hermite approximation of surface patch intersection curves

DOI10.1016/0167-8396(91)90036-BzbMath0738.65005OpenAlexW2043500261MaRDI QIDQ1175516

Thomas W. Sederberg, Tomoyuki Nishita

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1016/0167-8396(91)90036-b

zbMATH Keywords

algorithmerror boundsurface-surface intersectiongeometric Hermite interpolationcurve-surface intersection

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Computer-aided design (modeling of curves and surfaces) (65D17) Descriptive geometry (51N05)

Related Items

NURBS approximation of surface / surface intersection curves, Linear perturbation methods for topologically consistent representations of free-form surface intersections, Topologically consistent trimmed surface approximations based on triangular patches, A new approach to the surface intersection problem, Intersection of a ruled surface with a free-form surface, BOOLE: A BOUNDARY EVALUATION SYSTEM FOR BOOLEAN COMBINATIONS OF SCULPTURED SOLIDS, Computation of the solutions of nonlinear polynomial systems

Cites Work

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• A survey of curve and surface methods in CAGD
• Surface/surface intersection
• High accuracy geometric Hermite interpolation
• Algorithms for polynomials in Bernstein form
• Genus of the intersection curve of two rational surface patches
• Loop detection in surface patch intersections
• Tracing surface intersections
• Fat arcs: A bounding region with cubic convergence
• Improved test for closed loops in surface intersections
• Algorithm for algebraic curve intersection
• Implementation of a divide-and-conquer method for intersection of parametric surfaces
• Implicit representation of parametric curves and surfaces
• Computational techniques for processing parametric surfaces
• The characterization of parametric surface sections
• Composing Bézier simplexes