Spine based shape parameterisation for PDE surfaces
type: Item
instance of: scholarly article
title: Spine based shape parameterisation for PDE surfaces
zbMATH Open document ID: 1101.65022
author: Hassan Ugail
published in: Computing
publication date: 2004-10-28T00:00:00Z
full work available at URL: http://hdl.handle.net/10454/2649
review text: The goal of the present study is to show how the spine of a partial differential equation (PDE) surface can be treated and utilised in order to characterise PDE surfaces as well as to enable the development of further intuitive techniques for powerful shape parametrisation. By exploiting the structural form of a closed form solution for the chosen PDE it is shown how the spine of a PDE surface can be generated as a by-product of this solution. Furthermore, it is shown that the spin of the PDE surface patch is represented as a parametric polynomial function that can be used as a shape manipulation tool to deform the shape in an intuitive fashion.
Mathematics Subject Classification ID: 65D18
Mathematics Subject Classification ID: 53A05
zbMATH DE Number: 2111437
zbMATH Keywords: spine of skeleton
zbMATH Keywords: parametric design
zbMATH Keywords: partial differential equations
zbMATH Keywords: PDE surfaces
zbMATH Keywords: shape parametrisation
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
OpenAlex ID: W2045429898
DOI: 10.1007/S00607-003-0057-8
description: scientific article; zbMATH DE number 2111437