Closed fractal interpolation surfaces
type: Item
instance of: scholarly article
title: Closed fractal interpolation surfaces
zbMATH Open document ID: 1110.28004
author: P. Bouboulis
author: L. Dalla
published in: Journal of Mathematical Analysis and Applications
publication date: 2007-01-09T00:00:00Z
review text: Based on the construction of bivariate fractal interpolation surface, the authors introduce, in Section 4, closed spherical fractal interpolation surfaces. The interpolation takes place in spherical coordinates and with the transformation to Cartesian coordinates a closed surface arises. There are given conditions needed for this construction (Theorem 3) and some theorems (in Section 5) about their Hausdorff and box-counting dimension are proved. In Section 6 the authors consider the problem of approximation of some given closed surface.
Mathematics Subject Classification ID: 28A80
Mathematics Subject Classification ID: 28A78
Mathematics Subject Classification ID: 37C45
zbMATH DE Number: 5083263
zbMATH Keywords: iterated function systems
zbMATH Keywords: bivariate fractal interpolation surfaces
zbMATH Keywords: closed spherical fractal interpolation surfaces
reviewed by: Nicolae-Adrian Secelean
MaRDI profile type: Publication
full work available at URL: j.jmaa.2006.04.009
OpenAlex ID: W2033382367
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DOI: 10.1016/J.JMAA.2006.04.009
description: scientific article; zbMATH DE number 5083263