Exponential box splines
type: Item
instance of: scholarly article
title: Exponential box splines
zbMATH Open document ID: 0674.41005
DOI: 10.1007/BF02075467
author: A. Ron
published in: Constructive Approximation
publication date: 1988-01-01T00:00:00Z
review text: The exponential box splines for a set of n directions in \(Z^ s\) and for a vector of constants \(\lambda \in R^ n\) are constructed. Basic properties of these splines are derived, e.g. that they have the same smoothness and support as the polynomial box splines, and that they are positive piecewise exponential in their supports. The recurrence relations for the exponential box splines turn out to be simpler than those for the polynomial case. The author classifies the various types of exponential box splines obtained for different choices of \(\lambda\) 's. The simple box splines are defined and their corresponding \(\lambda\) 's are shown to constitute an open and dense set in \(R^ n\). A typical example of the usefulness of these splines is shown.
Mathematics Subject Classification ID: 41A15
Mathematics Subject Classification ID: 41A63
zbMATH DE Number: 4103662
zbMATH Keywords: exponential box splines
reviewed by: Carmen Simerská
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02075467
OpenAlex ID: W1987019693
description: scientific article; zbMATH DE number 4103662