A torus patch approximation approach for point projection on surfaces

DOI10.1016/j.cagd.2009.01.004zbMath1205.65092OpenAlexW2043254790MaRDI QIDQ625279

Xiao-Ming Liu, Jun-Hai Yong, Jia-Guang Sun, Lei Yang, He-Jin Gu

Publication date: 15 February 2011

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

Full work available at URL: https://hal.inria.fr/inria-00517719/file/Xiao-MingLiu2009a_CAGD.pdf

zbMATH Keywords

parametric surfacepoint projectiontorus patch approximation

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (9)

A second-order algorithm for curve orthogonal projection onto parametric surface ⋮ A geometric method for computation of geodesic on parametric surfaces ⋮ Symbolic computation of the orthogonal projection of rational curves onto rational parameterized surfaces ⋮ Efficient offset trimming for planar rational curves using biarc trees ⋮ Precise Hausdorff distance computation for freeform surfaces based on computations with osculating toroidal patches ⋮ Self-intersection computation for freeform surfaces based on a regional representation scheme for miter points ⋮ An approach to computing multipoint inversion and multiray surface intersection on parametric surface ⋮ Hybrid second-order iterative algorithm for orthogonal projection onto a parametric surface ⋮ Hybrid second order method for orthogonal projection onto parametric curve in \(n\)-dimensional Euclidean space

Cites Work

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• Newton methods for parametric surface registration. II: Experimental validation
• A counterexample on point inversion and projection for NURBS curve
• On the curvature of curves and surfaces defined by normalforms
• Point inversion and projection for nurbs curve and surface: control polygon approach
• Improved algorithms for the projection of points on NURBS curves and surfaces
• A second order algorithm for orthogonal projection onto curves and surfaces

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