Triangular Bézier sub-surfaces on a triangular Bézier surface
type: Item
instance of: scholarly article
title: Triangular Bézier sub-surfaces on a triangular Bézier surface
zbMATH Open document ID: 1232.65029
author: Wenyu Chen
author: Jianmin Zheng
author: Chikit Au
author: Rong-Dong Yu
author: Yi-Yu Cai
published in: Journal of Computational and Applied Mathematics
publication date: 2011-08-02T00:00:00Z
review text: The authors provide a more convenient method for computing the Bézier representation for a triangular sub-patch on a triangular Bézier surface. An explicit compact formula to compute the control points of the composition is deduced. The authors simplify the formula to express the control points of the triangular Bézier sub-patch as linear combinations of the blossoming points that correspond to distinct construction points. Their algorithm results in a set of blossoming points considerably less numerous than that of construction points. The paper contains detailed algorithms presented for practical users, together with numerical examples.
reviewed by: Gabriela Cristescu
Mathematics Subject Classification ID: 65D17
Mathematics Subject Classification ID: 68U07
zbMATH DE Number: 5934904
zbMATH Keywords: Bézier representation
zbMATH Keywords: blossoming
zbMATH Keywords: de Casteljau algorithm
zbMATH Keywords: composition
zbMATH Keywords: sub-patches
zbMATH Keywords: triangular surfaces
zbMATH Keywords: control points
MaRDI profile type: Publication
full work available at URL: j.cam.2011.04.030
OpenAlex ID: W2031026091
cites work: Composing Bézier simplexes
cites work: The shape of spherical quartics
cites work: A survey of curve and surface methods in CAGD
cites work: Q3829957
cites work: Conversion from Bézier rectangles to Bézier triangles
cites work: Conversion of a triangular Bézier patch into three rectangular Bézier patches
cites work: Triangulation of trimmed surfaces in parametric space
cites work: Functional composition algorithms via blossoming
cites work: Triangular subpatches of rectangular Bézier surfaces
cites work: Bernstein Polynomials Via the Shifting Operator
cites work: Q4856409
cites work: The convexity of Bernstein polynomials over triangles
DOI: 10.1016/J.CAM.2011.04.030
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description: scientific article; zbMATH DE number 5934904