Some applications of resultants to problems in computational geometry
type: Item
instance of: scholarly article
title: Some applications of resultants to problems in computational geometry
zbMATH Open document ID: 0617.68090
DOI: 10.1007/BF01898352
published in: The Visual Computer
publication date: 1985-01-01T00:00:00Z
review text: Resultants were originally developed in the 18th and 19th centuries to solve certain simple algebraic problems. Here we shall present some applications of resultants to several important problems in computational geometry, including the implicitization, inversion, and intersection of parametric rational polynomial curves and surfaces.
Mathematics Subject Classification ID: 68U99
zbMATH DE Number: 4001527
zbMATH Keywords: Bezout resultant
zbMATH Keywords: Cayley resultant
zbMATH Keywords: computational geometry
zbMATH Keywords: implicitization
zbMATH Keywords: inversion
zbMATH Keywords: intersection
zbMATH Keywords: parametric rational polynomial curves and surfaces
author: Ron Goldman
author: T. W. Sederberg
MaRDI profile type: Publication
cites work: The method of resolvents: A technique for the implicitization, inversion, and intersection of non-planar, parametric, rational cubic curves
cites work: Implicit representation of parametric curves and surfaces
cites work: Vector elimination: A technique for the implicitization, inversion, and intersection of planar parametric rational polynomial curves
cites work: Q5799167
description: scientific article; zbMATH DE number 4001527