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 χ[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.
Some recent results on a new class of bivariate refinable functions / C., Conti; Gori, Laura; Pitolli, Francesca. - In: RENDICONTI DEL SEMINARIO MATEMATICO. - ISSN 0373-1243. - STAMPA. - 61:3(2003), pp. 301-311.
Some recent results on a new class of bivariate refinable functions
GORI, Laura;PITOLLI, Francesca
2003
Abstract
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 χ[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.File allegati a questo prodotto
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
