Results 181 to 190 of about 342 (213)
Some of the next articles are maybe not open access.
SIAM Journal on Mathematical Analysis, 1998
Dependence of properties of refinable function vectors on their refinement masks is studied. In particular, necessary and sufficient conditions for the convergence of cascade algorithms, for the stability and orthonormality of refinable vectors are found.
openaire +2 more sources
Dependence of properties of refinable function vectors on their refinement masks is studied. In particular, necessary and sufficient conditions for the convergence of cascade algorithms, for the stability and orthonormality of refinable vectors are found.
openaire +2 more sources
Generalized Pseudo-Butterworth Refinable Functions
Journal of Fourier Analysis and Applications, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Luo, Zhongxuan +3 more
openaire +1 more source
On the Regularity of Matrix Refinable Functions
SIAM Journal on Mathematical Analysis, 1998The refinable functions of this paper are vector functions \(\Phi\), that are solutions of a refinement equation of the form \(\Phi=\sum_\alpha P_\alpha \Phi(2\cdot-\alpha)\) where the sequence \(\{P_\alpha\}\) of \(r\times r\) matrices, or equivalently, the matrix function \(P(\omega)=2^{-d}\sum_\alpha P_\alpha e^{-i\alpha \omega}\) is called the ...
openaire +2 more sources
Multivariate symmetric refinable functions and function vectors
International Journal of Wavelets, Multiresolution and Information Processing, 2016For any symmetry group [Formula: see text], any appropriate matrix dilation (compatible with [Formula: see text]) and any appropriate symmetry center [Formula: see text] we give an explicit method for the construction of [Formula: see text]-symmetric with respect to the center [Formula: see text] refinable masks which have sum rule of an arbitrary ...
openaire +2 more sources
On the volume of sets bounded by refinable functions
Applied Mathematics and Computation, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jan Hakenberg, Ulrich Reif
openaire +1 more source
Stability and Orthonormality of Multivariate Refinable Functions
SIAM Journal on Mathematical Analysis, 1997Summary: This paper characterizes the stability and orthonormality of the shifts of a multidimensional \((M,c)\) refinable function \(\phi\) in terms of the eigenvalues and eigenvectors of the transition operator \(W_{c_{\text{au}}}\) defined by the autocorrelation \(c_{\text{au}}\) of its refinement mask \(c, \) where \(M\) is an arbitrary dilation ...
W Lawton, Zuowei Shen
exaly +3 more sources
Causality properties of refinable functions and sequences
Advances in Computational Mathematics, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Goh, S.S., Goodman, T.N.T., Lee, S.L.
openaire +2 more sources
Differentiability of multivariate refinable functions and factorization
Advances in Computational Mathematics, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Smoothness of refinable function vectors on ℝn
International Journal of Wavelets, Multiresolution and Information Processing, 2017Let [Formula: see text] be a dilation matrix, an [Formula: see text] expansive matrix that maps [Formula: see text] into itself. Let [Formula: see text] be a finite subset of [Formula: see text] and for [Formula: see text] let [Formula: see text] be [Formula: see text] complex matrices.
Ramazan Tinaztepe +2 more
openaire +1 more source
On refinable functions and subdivision with positive masks
Advances in Computational Mathematics, 2006The author considers univariate refinable functions with finite, positive mask. First he derives, explicitly in terms of the mask, estimates for the geometric convergence rate of both the cascade algorithm and the corresponding subdivision scheme, as well as the Hölder continuity exponent of the refinable function.
openaire +2 more sources