On computing the intersection of a pair of algebraic surfaces
type: Item
instance of: scholarly article
title: On computing the intersection of a pair of algebraic surfaces
zbMATH Open document ID: 0699.65012
DOI: 10.1016/0167-8396(89)90017-4
author: Thomas Garrity
author: J. Warren
published in: Computer Aided Geometric Design
publication date: 1989-01-01T00:00:00Z
review text: The paper addresses the problem of intersecting two surfaces, both given in the form \(f(x,y,z)=0\). An efficient data structure for the representation of the intersection curve is provided. As a byproduct, one can compute the irreducible components of the algebraic intersection curve and their corresponding multiplicities.
Mathematics Subject Classification ID: 65D18
Mathematics Subject Classification ID: 65D17
Mathematics Subject Classification ID: 14E05
Mathematics Subject Classification ID: 51N05
Mathematics Subject Classification ID: 65D15
zbMATH DE Number: 4147385
zbMATH Keywords: geometric modelling
zbMATH Keywords: algebraic surface intersection
zbMATH Keywords: projection
zbMATH Keywords: algebraic space curve
zbMATH Keywords: data structure
zbMATH Keywords: irreducible space curve
zbMATH Keywords: birational map
zbMATH Keywords: implicit surfaces
zbMATH Keywords: algebraic intersection curve
reviewed by: Gerald Farin
MaRDI profile type: Publication
full work available at URL: 0167-8396(89)90017-4
OpenAlex ID: W2063091122
cites work: Automatic parameterization of rational curves and surfaces. III: Algebraic plane curves
cites work: Automatic parameterization of rational curves and surfaces IV: algebraic space curves
cites work: Surface/surface intersection
cites work: On Euclid's Algorithm and the Computation of Polynomial Greatest Common Divisors
cites work: Q3714165
cites work: Q5187264
cites work: The Calculation of Multivariate Polynomial Resultants
cites work: Q3328651
cites work: Q4143433
cites work: Fast parallel absolute irreducibility testing
cites work: Polynomial-Time Reductions from Multivariate to Bi- and Univariate Integral Polynomial Factorization
cites work: Q5585021
cites work: Résolution des systèmes d'équations algébriques
cites work: Factoring polynomials with rational coefficients
cites work: Q4128900
cites work: Piecewise algebraic surface patches
cites work: Q4771357
cites work: Q5798024
cites work: Q3849050
description: scientific article; zbMATH DE number 4147385