Construction of flexible blending parametric surfaces via curves
type: Item
instance of: scholarly article
title: Construction of flexible blending parametric surfaces via curves
zbMATH Open document ID: 1178.65016
author: Bachir Belkhatir
author: A. Zidna
published in: Mathematics and Computers in Simulation
publication date: 2009-10-01T00:00:00Z
review text: A blending surface is an intermediate surface smoothly joining other surfaces. Firstly, the \(G^n\) continuity of parametric curves and surfaces is introduced. After that, sufficient conditions for joining two adjacent surface patches with \(G^1\), \(G^2\) and \(G^3\) continuity along their common boundary curve are given. Then, the construction of a blending surface which connects \(G^n\) continuously two surfaces along their boundaries is described. This construction is based on using isoparametric curves of surfaces which have to be connected. The suggested blending surface is a Hermite interpolation surface passing through two types of curves: Bézier and \(C\)-curves (developed by using a trigonometric algebraic basis). Examples which illustrate the applicability of the method are included in the article, too.
reviewed by: Ivana Linkeová
Mathematics Subject Classification ID: 65D17
zbMATH DE Number: 5610228
zbMATH Keywords: blending surface
zbMATH Keywords: geometric continuity
zbMATH Keywords: parametric surface
zbMATH Keywords: isoparametric curve
zbMATH Keywords: Hermite interpolation
zbMATH Keywords: Bezier curve
zbMATH Keywords: C-curve
MaRDI profile type: Publication
full work available at URL: j.matcom.2009.04.015
OpenAlex ID: W2075352283
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DOI: 10.1016/J.MATCOM.2009.04.015
description: scientific article; zbMATH DE number 5610228