Construction of trivariate compactly supported biorthogonal box spline wavelets
نویسندگان
چکیده
منابع مشابه
Construction of trivariate compactly supported biorthogonal box spline wavelets
We give a formula for the duals of the masks associated with trivariate box spline functions. We show how to construct trivariate nonseparable compactly supported biorthogonal wavelets associated with box spline functions. The biorthogonal wavelets may have arbitrarily high regularities.
متن کاملConstruction of Trivariate Compactly SupportedBiorthogonal Box Spline
abstract We give a formula for the duals of the mask associated with trivariate box spline functions. We show how to construct trivariate nonseparable compactly supported biorthogonal wavelets associated with box spline functions. The biorthogonal wavelets may have arbitrarily high regularities.
متن کاملConstruction of compactly supported biorthogonal wavelets: I
This paper presents a construction of compactly supported dual functions of a given box spline in L2(IR ). In particular, a concrete method for the construction of compactly supported dual functions of bivariate box splines of increasing smoothness is provided. Key-Words:multivariate biorthogonal wavelets, multivariate wavelets, box splines, matrix extension
متن کاملConstruction of Bivariate Compactly Supported Biorthogonal Box Spline Wavelets with Arbitrarily High Regularities
(For properties of box spline functions, see [3, 2]. For computation of these bivariate box spline functions, see [4, 13].) It is known that Bl,m,n generates a multi-resolution approximation of L2(R ) (cf. [14]). We are interested in constructing a compactly supported function B̃l,m,n generating a multi-resolution approximation of L2(R ) which is a biorthogonal dual to Bl,m,n in the following se...
متن کاملConstruction of compactly supported biorthogonal wavelets
This paper presents a construction of compactly supported biorthogonal spline wavelets in L2(IR ). In particular, a concrete method for the construction of bivariate compactly supported biorthogonal wavelets from box splines of increasing smoothness is provided. Several examples are given to illustrate the method. Key-Words:multivariate biorthogonal wavelets, multivariate wavelets, box splines,...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 2003
ISSN: 0021-9045
DOI: 10.1016/s0021-9045(02)00009-6