Result: Some recent results on a new class of bivariate refinable functions

Title:
Some recent results on a new class of bivariate refinable functions
Authors:
CONTI, COSTANZA, L. GORI, F. PITOLLI
Publisher Information:
Editrice Universitaria Levrotto \& Bella, Torino; Università e Politecnico di Torino, Torino, 2003.
Publication Year:
2003
Subject Terms:
Computer-aided design (modeling of curves and surfaces), Algorithms for approximation of functions, bivariate refinable functions, box-spline, directional convolution
Document Type:
Academic journal Article
File Description:
application/xml
Access URL:
https://zbmath.org/2217054
https://hdl.handle.net/11573/254963
https://hdl.handle.net/2158/251160
Accession Number:
edsair.dedup.wf.002..a759ae643fef5e487d922d88a0fe3fc5
Database:
OpenAIRE

Further Information

In this paper a new class of bivariate refinable functions is presented and some of its properties are investigated. The new class is constructed by convolving a tensor product refinable function of special type with \(\chi_{[0,1]}\), the characteristic function of the interval [0, 1]. As in the case of box splines, the convolution product here used is the directional convolution product.