Numerical methods of generating random points with prescribed distributional properties on (non)rational Bézier surfaces
type: Item
instance of: scholarly article
title: Numerical methods of generating random points with prescribed distributional properties on (non)rational Bézier surfaces
zbMATH Open document ID: 0859.65004
DOI: 10.1016/0895-7177(96)00051-9
author: Yanyan Li
published in: Mathematical and Computer Modelling
publication date: 1997-04-07T00:00:00Z
review text: The paper deals with the generation of random points on a rational or non-rational Bézier surface with a prescribed density function defined on the parametric form of a Bézier surface. First, the authors describe different numerical methods to produce rational or non-rational Bézier curves and surfaces. Then, they give an introduction in simulation of random variables and random vectors. The main part of the paper deals with the generation of random points on Bézier surfaces with a prescribed distribution. The efficiency of the introduced algorithms is illustrated by some numerical examples.
reviewed by: Bernd Mathiszik
Mathematics Subject Classification ID: 65C10
Mathematics Subject Classification ID: 65D17
zbMATH DE Number: 915039
zbMATH Keywords: random points generation
zbMATH Keywords: non-rational and rational Bézier surfaces
zbMATH Keywords: Bézier surface
zbMATH Keywords: simulation of random variables and random vectors
zbMATH Keywords: Bézier curves
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
full work available at URL: 0895-7177(96)00051-9
OpenAlex ID: W2072986840
cites work: Q4077419
cites work: Q3364412
cites work: Tighter convex hulls for rational Bézier curves
cites work: A geometrical approach to curvature continuous joints of rational curves
cites work: Creating multisided rational Bézier surfaces using base points
cites work: Q5656210
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description: scientific article; zbMATH DE number 915039