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ICIP
2009
IEEE
15 years 11 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»
15 years 4 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»
14 years 10 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»
14 years 8 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»
14 years 10 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