On a class of shape-preserving refinable functions with dilation 3
نویسندگان
چکیده
منابع مشابه
Refinable functions for dilation families
We consider a family of d×d matrices We indexed by e ∈ E where (E,μ) is a probability space and some natural conditions the family (We)e∈E are satisfied. The aim of this paper is to develop a theory of continuous, compactly supported functions φ : R → C which satisfy a refinement equation of the form φ(x) = Z
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Characterizations of the stability and orthonormality of a multivariate matrix refinable function Φ with arbitrary matrix dilation M are provided in terms of the eigenvalue and 1-eigenvector properties of the restricted transition operator. Under mild conditions, it is shown that the approximation order of Φ is equivalent to the order of the vanishing moment conditions of the matrix refinement ...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2013
ISSN: 0377-0427
DOI: 10.1016/j.cam.2012.12.010