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ShiftOrthogonal Wavelet Bases
"... Shiftorthogonal wavelets are a new type of multiresolution wavelet bases that are orthogonal with respect to translation (or shifts) within one level but not with respect to dilations across scales. In this paper, we characterize these wavelets and investigate their main properties by considering t ..."
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Shiftorthogonal wavelets are a new type of multiresolution wavelet bases that are orthogonal with respect to translation (or shifts) within one level but not with respect to dilations across scales. In this paper, we characterize these wavelets and investigate their main properties by considering
turbulence using orthogonal wavelets By
"... This paper compares the filtering used in Coherent Vortex Simulation (CVS) decomposition with an orthogonal wavelet basis, with the Proper Orthogonal Decomposition (POD) or Fourier filtering. Both methods are applied to a field of DNS data of 3D forced homogeneous isotropic turbulence at microscale ..."
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This paper compares the filtering used in Coherent Vortex Simulation (CVS) decomposition with an orthogonal wavelet basis, with the Proper Orthogonal Decomposition (POD) or Fourier filtering. Both methods are applied to a field of DNS data of 3D forced homogeneous isotropic turbulence at microscale
Orthogonal Wavelets on the Interval
 Preprint Univ. Bonn , SFB 256
, 1998
"... In this paper we generalize the constructions [5], [8] and [21] of wavelets on the interval. These schemes give boundary modifications of compactly supported orthogonal wavelets / 2 L 2 (R) with supp / = [\GammaN + 1; N ], where N denotes the number of vanishing moments of /. Our new scheme overcome ..."
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Cited by 3 (2 self)
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In this paper we generalize the constructions [5], [8] and [21] of wavelets on the interval. These schemes give boundary modifications of compactly supported orthogonal wavelets / 2 L 2 (R) with supp / = [\GammaN + 1; N ], where N denotes the number of vanishing moments of /. Our new scheme
Scattering Theory For Orthogonal Wavelets
"... . We apply the LaxPhillips wave equation scattering theory to multiresolutions associated with wavelets: For the wavelet scattering, the translation symmetry, the scaling operator, and the scaling function are identified in the scattering theoretic spectral transform; the scaling function is shown ..."
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. We apply the LaxPhillips wave equation scattering theory to multiresolutions associated with wavelets: For the wavelet scattering, the translation symmetry, the scaling operator, and the scaling function are identified in the scattering theoretic spectral transform; the scaling function is shown
Parameterization And Implementation Of Orthogonal Wavelet Transforms
"... In this paper a method is presented that parameterizes orthogonal wavelet transforms with respect to their properties (i.e. compact support, vanishing moments, regularity, symmetry) and also takes into considerations a simple implementation of the transform. The parameter space is given by the rotat ..."
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Cited by 2 (1 self)
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In this paper a method is presented that parameterizes orthogonal wavelet transforms with respect to their properties (i.e. compact support, vanishing moments, regularity, symmetry) and also takes into considerations a simple implementation of the transform. The parameter space is given
Parametrization of Orthogonal Wavelet Transforms and Their Implementation
"... In this paper a method for parameterizing orthogonal wavelet transforms is presented. The parameter space is given by the rotation angles of the orthogonal 2 \Theta 2 rotations used in the lattice filters realizing the stages of the wavelet transform. Different properties of orthogonal wavelet tr ..."
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In this paper a method for parameterizing orthogonal wavelet transforms is presented. The parameter space is given by the rotation angles of the orthogonal 2 \Theta 2 rotations used in the lattice filters realizing the stages of the wavelet transform. Different properties of orthogonal wavelet
An orthogonal wavelet representation of multivalued images
 IEEE Transactions on image processing, Volume: 12, Issue
, 2003
"... In this paper, a new orthogonal wavelet representation for multivalued images is presented. The idea for this representation is based on the determination of the maximal length of linear vector operators, applied to multivalued images. This concept is derived from the concept of maximal gradient of ..."
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Cited by 5 (0 self)
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In this paper, a new orthogonal wavelet representation for multivalued images is presented. The idea for this representation is based on the determination of the maximal length of linear vector operators, applied to multivalued images. This concept is derived from the concept of maximal gradient
An Algebraic Structure of Orthogonal Wavelet Space
, 1999
"... this paper we study the algebraic structure of the space of compactly supported orthonormal wavelets over real numbers. Based on the parametrization of wavelet space, one can define a parameter mapping from the wavelet space of rank 2 (or 2band, scale factor of 2) and genus g to the (g \Gamma 1) di ..."
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Cited by 1 (1 self)
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) dimensional real torus (the products of unit circles). By the uniqueness and exactness of factorization, this mapping is welldefined and onetoone. Thus we can equip the rank 2 orthogonal wavelet space with an algebraic structure of the torus. Because of the degenerate phenomenon of the paraunitary matrix
Quadrature integration for orthogonal wavelet systems
 J. Chem. Phys
, 1999
"... Wavelet systems can be used as bases in quantum mechanical applications where localization and scale are both important. General quadrature formulas are developed for accurate evaluation of integrals involving compact support wavelet families, and their use is demonstrated in examples of spectral a ..."
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Cited by 5 (1 self)
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Wavelet systems can be used as bases in quantum mechanical applications where localization and scale are both important. General quadrature formulas are developed for accurate evaluation of integrals involving compact support wavelet families, and their use is demonstrated in examples of spectral
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 ..."
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functions from a general method. This leads to several examples of orthogonal symmetric (antisymmetric) wavelets generated by interpolatory refinable functions.
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