Results 1  10
of
5,815
Orthonormal bases of compactly supported wavelets
, 1993
"... Several variations are given on the construction of orthonormal bases of wavelets with compact support. They have, respectively, more symmetry, more regularity, or more vanishing moments for the scaling function than the examples constructed in Daubechies [Comm. Pure Appl. Math., 41 (1988), pp. 90 ..."
Abstract

Cited by 2205 (27 self)
 Add to MetaCart
Several variations are given on the construction of orthonormal bases of wavelets with compact support. They have, respectively, more symmetry, more regularity, or more vanishing moments for the scaling function than the examples constructed in Daubechies [Comm. Pure Appl. Math., 41 (1988), pp
A Class of Compactly Supported
"... Abstract. We continue the study of constructing compactly supported orthonormal Bspline wavelets originated by T.N.T. Goodman. We simplify his constructive steps for compactly supported orthonormal scaling functions and provide an inductive method for constructing compactly supported orthonormal wa ..."
Abstract
 Add to MetaCart
Abstract. We continue the study of constructing compactly supported orthonormal Bspline wavelets originated by T.N.T. Goodman. We simplify his constructive steps for compactly supported orthonormal scaling functions and provide an inductive method for constructing compactly supported orthonormal
Compactly supported cohomology of buildings
, 2008
"... We compute the compactly supported cohomology of the standard realization of any locally finite building. ..."
Abstract

Cited by 6 (2 self)
 Add to MetaCart
We compute the compactly supported cohomology of the standard realization of any locally finite building.
Compactly supported shearlets
, 2010
"... Shearlet theory has become a central tool in analyzing and representing 2D data with anisotropic features. Shearlet systems are systems of functions generated by one single generator with parabolic scaling, shearing, and translation operators applied to it, in much the same way wavelet systems are ..."
Abstract

Cited by 16 (3 self)
 Add to MetaCart
properties: shearlet systems can be generated by one function, they provide precise resolution of wavefront sets, they allow compactly supported analyzing elements, they are associated with fast decomposition algorithms, and they provide a unified treatment of the continuum and the digital realm. The aim
Compactly supported fundamental solutions
"... [the date of receipt and acceptance should be inserted later] Summary. In this paper we combine an earlier method developed with K. Jetter on general cardinal interpolationwith constructions of compactly supported solutions for cardinal interpolation to gain compactly supported fundamental solutions ..."
Abstract
 Add to MetaCart
[the date of receipt and acceptance should be inserted later] Summary. In this paper we combine an earlier method developed with K. Jetter on general cardinal interpolationwith constructions of compactly supported solutions for cardinal interpolation to gain compactly supported fundamental
On compactly supported splinewavelets and a duality principle
 Trans. Amer. Soc
, 1992
"... Abstract. Let • • • C K _ ] c Vq c Vx c • • • be a multiresolution analysis of L2 generated by the mth order 5spline Nm{x). In this paper, we exhibit a compactly supported basic wavelet i//m(x) that generates the corresponding orthogonal complementary wavelet subspaces..., W _ \, Wo, Wx,.... Co ..."
Abstract

Cited by 136 (7 self)
 Add to MetaCart
Abstract. Let • • • C K _ ] c Vq c Vx c • • • be a multiresolution analysis of L2 generated by the mth order 5spline Nm{x). In this paper, we exhibit a compactly supported basic wavelet i//m(x) that generates the corresponding orthogonal complementary wavelet subspaces..., W _ \, Wo, Wx
Compactly Supported (bi)orthogonal Wavelets
 Adv. Comput. Math
, 1997
"... This paper provides several constructions of compactly supported wavelets generated by interpolatory refinable functions. It was shown in [D1] that there is no real compactly supported orthonormal symmetric dyadic refinable function, except the trivial case; and also shown in [L] and [GM] that there ..."
Abstract
 Add to MetaCart
This paper provides several constructions of compactly supported wavelets generated by interpolatory refinable functions. It was shown in [D1] that there is no real compactly supported orthonormal symmetric dyadic refinable function, except the trivial case; and also shown in [L] and [GM
on Construction of Compactly Supported
, 1995
"... In this paper, we consider the asymptotic regularity of Daubechies scaling functions and construct examples of Mband scaling functions which are both orthonormal and cardinal for M ¢ 3. � 1999 Academic Press Key Words: multiresolution; Mband scaling function; Mband wavelets; cardinal function; or ..."
Abstract
 Add to MetaCart
In this paper, we consider the asymptotic regularity of Daubechies scaling functions and construct examples of Mband scaling functions which are both orthonormal and cardinal for M ¢ 3. � 1999 Academic Press Key Words: multiresolution; Mband scaling function; Mband wavelets; cardinal function; orthonormality. 1.
Characterization Of Compactly Supported Refinable Splines
 Adv. Comput. Math
, 1995
"... . We prove that a compactly supported spline function OE of degree k satisfies the scaling equation OE(x) = P N n=0 c(n)OE(mx \Gamma n) for some integer m 2, if and only if OE(x) = P n p(n)B k (x \Gamma n) where p(n) are the coefficients of a polynomial P (z) such that the roots of P (z)(z \ ..."
Abstract

Cited by 16 (4 self)
 Add to MetaCart
. We prove that a compactly supported spline function OE of degree k satisfies the scaling equation OE(x) = P N n=0 c(n)OE(mx \Gamma n) for some integer m 2, if and only if OE(x) = P n p(n)B k (x \Gamma n) where p(n) are the coefficients of a polynomial P (z) such that the roots of P (z
Results 1  10
of
5,815