Surface/surface intersection

DOI10.1016/0167-8396(87)90020-3zbMath0642.65010OpenAlexW2052968649MaRDI QIDQ1101179

B. George

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0167-8396(87)90020-3

zbMATH Keywords

robustnessnumerical examplesefficiencycomputer aided designintersectionpiecewise linear approximationparametric patchesadaptive surface/surface intersection algorithmadaptive triangular mesh generation

Mathematics Subject Classification ID

Algorithms for approximation of functions (65D15) Descriptive geometry (51N05) Graphical methods in numerical analysis (65S05)

Related Items (25)

Can we find Willmore-like method for the tangential intersection problems? ⋮ A unified algorithm for finding the intersection curve of surfaces ⋮ Using Topological Transformations to Construct the Intercepting Lines ⋮ Specifying useful error bounds for geometry tools: an intersector exemplar ⋮ A set operation algorithm for sculptured solids modeled with trimmed patches ⋮ NURBS solid modeling for the three-dimensional limit analysis of curved rigid block structures ⋮ A new approach to the surface intersection problem ⋮ Classification and resolution of critical cases in Grandine and Klein's topology determination using a perturbation method ⋮ On computing the intersection of a pair of algebraic surfaces ⋮ Convergence of a surface/surface intersection algorithm ⋮ Geometric Hermite approximation of surface patch intersection curves ⋮ A tracing algorithm for surface-surface intersections on surface boundaries. ⋮ On determining start points for a surface/surface intersection algorithm ⋮ Fillet and surface intersections defined by rolling balls ⋮ Marching along surface/surface intersection curves with an adaptive step length ⋮ A parallel multistage method for surface/surface intersection ⋮ Determining a collision-free domain for the tool in five-axis machining ⋮ Homeomorphic approximation of the intersection curve of two rational surfaces ⋮ An efficient method for tracing planar implicit curves ⋮ A marching method for parametric surface/surface intersection ⋮ SWEPT VOLUMES: FUNDATION, PERSPECTIVES, AND APPLICATIONS ⋮ A fast algorithm for Gröbner basis conversion and its applications ⋮ A complete and nonoverlapping tracing algorithm for closed loops ⋮ Surface intersection using parallelism ⋮ Extrapolating acceleration algorithms for finding \(B\)-spline intersections using recursive subdivision techniques

Cites Work

• Implementation of a divide-and-conquer method for intersection of parametric surfaces

This page was built for publication: Surface/surface intersection