*Mallat, S.G.*,

**A Theory for Multiresolution Signal Decomposition:
The Wavelet Representation**,

*PAMI(11)*, No. 7, July 1989, pp. 674-693.

IEEE DOI
BibRef
**8907**

And:

**A Compact Multiresolution Representation:
The Wavelet Model**,

*CVWS87*(xx).
BibRef

And:

**Multiresolution Representations and Wavelets**,

*UPenn*August 1988.
*Wavelets*. A decomposition for data with a set of basis functions. Each
level has information at different resolutions.
BibRef

*Mallat, S.G.*,

**Zero-Crossings of a Wavelet Transform**,

*IT(37)*, July 1991, pp. 1019-1033.
BibRef
**9107**

*Mallat, S.G.*,

**Multiresolution Approximation and Wavelet Orthogonal Bases of L2(R)**,

*TAMS(315)*, 1989, pp.
BibRef
**8900**

*Mallat, S.G.*,

**Multifrequency Channel Decompositions of Images and Wavelet Models**,

*ASSP(37)*, 1989, pp. 2091-2110.
BibRef
**8900**

*Mallat, S.G.[Stephane G.]*,

**A Wavelet Tour of Signal Processing**,

Third Edition
*Academic Press*2009,
ISBN 978-0-12-374370-1.
BibRef
**0900**

And:
First Edition
*Academic Press*1998,
ISBN 0-12-466605-1.
Principles and examples.
There is a summary of the book at:

HTML Version.
**Buy this book: A Wavelet Tour of Signal Processing, Third Edition: The Sparse Way
**
BibRef

*Mallat, S.G.*,

**Wavelets for a Vision**,

*PIEEE(84)*, No. 4, April 1996, pp. 604-614.
BibRef
**9604**

*Mallat, S.G.*,
*Hwang, W.L.*,

**Singularity Detection and Processing with Wavelets**,

*IT(38)*, 1991, pp. 617-643.
BibRef
**9100**

*Mallat, S.G.*, and
*Zhang, Z.*,

**Matching Pursuits with Time-Frequency Dictionaries**,

*TSP(41)*, No. 12, December 1993, pp. 3397-3415.
Matching Pursuit is an iterative procedure to find a sub-optimal
signal's representation in a highly redundant dictionary of functions.
BibRef
**9312**

*Yu, G.S.[Guo-Shen]*,
*Sapiro, G.[Guillermo]*,
*Mallat, S.G.[Stephane G.]*,

**Solving Inverse Problems With Piecewise Linear Estimators:
From Gaussian Mixture Models to Structured Sparsity**,

*IP(21)*, No. 5, May 2012, pp. 2481-2499.

IEEE DOI
**1204**

BibRef

Earlier:

**Image modeling and enhancement via structured sparse model selection**,

*ICIP10*(1641-1644).

IEEE DOI
**1009**

BibRef

IEEE DOI

BibRef

*Geiger, D.*,
*Kumaran, K.*,
*Pao, H.K.[Hsing-Kuo]*,
*Rubin, N.*,

**The shape of illusory figures**,

*ICIP99*(II:6-10).

IEEE DOI
**0411**

BibRef

*Mallat, S.G.*,

**Scale Change Versus Scale Space Representation**,

*ICCV87*(592-596).
BibRef
**8700**

Chapter on Computational Vision, Regularization, Connectionist, Morphology, Scale-Space, Perceptual Grouping, Wavelets, Color, Sensors, Optical, Laser, Radar continues in

Wavelets for Curves and Surfaces .

Last update:Jun 1, 2023 at 10:05:03