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Logarithmic multiresolution analysis

2015 IEEE International Conference on Image Processing (ICIP), 2015
Recently, a logarithmic image processing model called Symmetric Logarithmic Image Processing (S-LIP) has been investigated in the framework of the multiresolution analysis (MRA) performed by wavelet transform. The S-LIP model is an extension of the Logarithmic Image Processing (LIP) model.
Laurent Navarro   +2 more
openaire   +1 more source

Convex multiresolution analysis

Proceedings of Third International Symposium on Time-Frequency and Time-Scale Analysis (TFTS-96), 1998
A standard wavelet multiresolution analysis can be defined via a sequence of projection operators onto a monotone sequence of closed vector subspaces possessing suitable invariance properties. We propose an extension of this framework in which the linear projection operators are replaced by nonlinear retractions onto convex sets.
Patrick L. Combettes   +1 more
openaire   +1 more source

Multiresolution Analysis and Supercompact Multiwavelets

SIAM Journal on Scientific Computing, 2000
Summary: The Haar wavelets can represent exactly any piecewise constant function. The motivation for the present development is Alpert's family of compact orthogonal multiwavelets that can represent exactly any piecewise polynomial function. We choose to derive the algorithm in the style and notation of Harten's multiresolution analysis as extended to ...
Richard M. Beam, Robert F. Warming
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Color Quantization by Multiresolution Analysis

2009
A color quantization method is presented, which is based on the analysis of the histogram at different resolutions computed on a Gaussian pyramid of the input image. Criteria based on persistence and dominance of peaks and pits of the histograms are introduced to detect the modes in the histogram of the input image and to define the reduced colormap ...
Ramella G, Sanniti di Baja G
openaire   +3 more sources

Multiresolution analysis frames with applications

IEEE International Conference on Acoustics Speech and Signal Processing, 1993
A generalization of multiresolution analysis (MRA) to arbitrary affine frames, and the constructions of affine frames based on MRAs are considered and characterized. The authors define a frame multiresolution analysis (FMRA) and provide a necessary and sufficient condition for constructing frames of translates.
John J. Benedetto, Shidong Li
openaire   +2 more sources

Discrete Periodic Multiresolution Analysis

Journal of Mathematical Sciences, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Construction of Multiresolution Analysis on Interval

Acta Mathematica Sinica, English Series, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Di Rong, Xiang, Dao Hong
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Wavelets and Mallat's Multiresolution Analysis

Fundamenta Informaticae, 1998
We present a simple proof of Mallat's theorem about wavelet and multiresolution analysis. We do not use Fourier transform and the proof is accesible even for younger undergraduate students.
openaire   +2 more sources

Multiresolution-information analysis for images

Signal Processing, 1991
Abstract This paper is devoted to the analysis and characterization of images in the framework of multiresolution. We use the gray level histogram entropy as the best representation of the information provided by an image. First, we introduce the concept of ‘entropy per pixel’ provided by a class of images given at a certain resolution level, and ...
Ramón Román-Roldán   +2 more
openaire   +1 more source

Wavelets with Frame Multiresolution Analysis

Journal of Fourier Analysis and Applications, 2003
Let \(A\) be a \(d\times d\) real expansive matrix, i.e., a matrix whose eigenvalues are all of modulus greater than 1. Then a function \(\psi \in L^2(\mathbb{R}^d)\) is an \(A\)-\textit{dilation wavelet} if the system \(|\text{det} A|^{n/2} \psi (A^n x - l)\), \(n\in \mathbb{Z}\), \(l\in \mathbb{Z}^d\), forms an orthonormal basis for \(L^2(\mathbb{R ...
Dai, X., Diao, Y., Gu, Q., Han, D.
openaire   +3 more sources

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