The maximum number and its distribution of singular points for parametric piecewise algebraic curves
type: Item
instance of: scholarly article
title: The maximum number and its distribution of singular points for parametric piecewise algebraic curves
zbMATH Open document ID: 1376.65016
author: Jinming Wu
author: Chun-Gang Zhu
published in: Journal of Computational and Applied Mathematics
publication date: 2017-10-27T00:00:00Z
Mathematics Subject Classification ID: 65D17
Mathematics Subject Classification ID: 14H05
Mathematics Subject Classification ID: 65D07
zbMATH DE Number: 6798938
zbMATH Keywords: parametric piecewise algebraic curve
zbMATH Keywords: singular points
zbMATH Keywords: semi-algebraic set
zbMATH Keywords: numerical examples
zbMATH Keywords: bivariate spline function
describes a project that uses: DISCOVERER
MaRDI profile type: Publication
full work available at URL: j.cam.2017.01.023
OpenAlex ID: W2584963948
cites work: Q4530239
cites work: Recent researches on multivariate spline and piecewise algebraic variety
cites work: The Bézout number for piecewise algebraic curves
cites work: Multivariate spline and algebraic geometry
cites work: Piecewise algebraic curve
cites work: Nöther-type theorem of piecewise algebraic curves
cites work: Cayley-Bacharach theorem of piecewise algebraic curves.
cites work: The Nöther and Riemann-Roch type theorems for piecewise algebraic curve
cites work: Nöther-type theorem of piecewise algebraic curves on quasi-cross-cut partition
cites work: Real zeros of the zero-dimensional parametric piecewise algebraic variety
cites work: Solving parametric piecewise polynomial systems
cites work: Estimate of The Bézout Number For Linear Piecewise Algebraic Curves Over Arbitrary Triangulations
cites work: The Cayley-Bacharach theorem for continuous piecewise algebraic curves over cross-cut triangulations
cites work: Real intersection points of piecewise algebraic curves
cites work: An upper bound of the Bézout number for piecewise algebraic curves
cites work: The Viro method for construction of Bernstein-Bézier algebraic hypersurface piece
cites work: The Viro method for construction of \(C^r\) piecewise algebraic hypersurfaces
cites work: Q5799167
cites work: Singular points of algebraic curves
cites work: Computing singular points of plane rational curves
cites work: Q3737533
cites work: Q4209232
cites work: Computing triangular systems and regular systems
cites work: A complete algorithm for automated discovering of a class of inequality-type theorems
cites work: Partial cylindrical algebraic decomposition for quantifier elimination
cites work: Real root classification of parametric spline functions
DOI: 10.1016/J.CAM.2017.01.023
description: scientific article; zbMATH DE number 6798938