Non-uniform non-tensor product local interpolatory subdivision surfaces
type: Item
instance of: scholarly article
title: Non-uniform non-tensor product local interpolatory subdivision surfaces
zbMATH Open document ID: 1267.65016
author: Carolina Vittoria Beccari
author: Lucia Romani
author: Giulio Casciola
published in: Computer Aided Geometric Design
publication date: 2013-05-10T00:00:00Z
full work available at URL: http://hdl.handle.net/10281/44293
review text: Observing that the centripetal parametrization which is optimal in the univariate case does not significantly improve the behaviour of the surface in the tensor product bivariate setting, the authors present here a novel class of non-uniform, non-tensor product, local interpolatory sub-division surfaces that generalizes non-uniform interpolatory 4-point schemes to regular quadrilateral meshes. For a similar non-tensor product configuration reference may be made to \textit{K. Muller} et al. [ACM Trans. Graphics, 25, 268--292 (2006)] and \textit{T. J. Cashman} et al. [Comput. Aided Geom. Des. 26, No. 1, 94--104 (2009; Zbl 1205.65045)] where the authors propose non-uniform subdivision algorithms based an biquadratic and bicubic B-splines. Some numerical examples are also given to confirm the effectiveness of the proposition made in the paper and its advantages with respect to non-uniform tensor product subdividion and splines.
Mathematics Subject Classification ID: 65D17
zbMATH DE Number: 6161985
zbMATH Keywords: interpolation
zbMATH Keywords: non-tensor product surfaces
zbMATH Keywords: non-uniform parametrization
zbMATH Keywords: tensor product subdivision
zbMATH Keywords: biquadratic and bicubic B-splines
zbMATH Keywords: numerical examples
reviewed by: H. P. Dikshit
MaRDI profile type: Publication
OpenAlex ID: W2141413142
DOI: 10.1016/J.CAGD.2013.02.002
description: scientific article; zbMATH DE number 6161985