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ICIP
2009
IEEE
14 years 9 months ago
Higher-order Riesz Transforms And Steerable Wavelet Frames
We introduce an Nth-order extension of the Riesz transform in d dimensions. We prove that this generalized transform has the following remarkable properties: shift-invariance, sca...
VTC
2007
IEEE
149views Communications» more  VTC 2007»
14 years 2 months ago
An Iterative Detection Aided Irregular Convolutional Coded Wavelet Videophone Scheme Using Reversible Variable-Length Codes and
— In this paper, we characterize the achievable performance of a wavelet encoding-based videophone system, which further compresses and protects the wavelet-based video codec’s...
Anh Quang Pham, Jin Wang, Lie-Liang Yang, Lajos Ha...
TIP
2008
128views more  TIP 2008»
13 years 7 months ago
The Pairing of a Wavelet Basis With a Mildly Redundant Analysis via Subband Regression
A distinction is usually made between wavelet bases and wavelet frames. The former are associated with a one-to-one representation of signals, which is somewhat constrained but mos...
Michael Unser, Dimitri Van De Ville
JAT
2010
71views more  JAT 2010»
13 years 6 months ago
Functions with prescribed best linear approximations
A common problem in applied mathematics is that of finding a function in a Hilbert space with prescribed best approximations from a finite number of closed vector subspaces. In ...
Patrick L. Combettes, Noli N. Reyes
JAT
2007
55views more  JAT 2007»
13 years 7 months ago
The Homogeneous Approximation Property for wavelet frames
An irregular wavelet frame has the form W(ψ, Λ) = {a−1/2 ψ(x a − b)}(a,b)∈Λ, where ψ ∈ L2 (R) and Λ is an arbitrary sequence of points in the affine group A = R+ × ...
Christopher Heil, Gitta Kutyniok