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Discrete Periodic Multiresolution Analysis
Journal of Mathematical Sciences, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Multiresolution Fourier Descriptors for Multiresolution Shape Analysis
IEEE Signal Processing Letters, 2012Complex shapes can be effectively analyzed by multiresolution shape descriptors. Compared with wavelet descriptors that are widely used for multiresolution analysis, Fourier descriptors have better invariance properties and higher computational efficiency.
null Yanjun Zhao, S. Belkasim
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Radiometric multiresolution analysis
WCC 2000 - ICSP 2000. 2000 5th International Conference on Signal Processing Proceedings. 16th World Computer Congress 2000, 2002A new concept, radiometric multiresolution analysis (RMA) is proposed. An algorithm for computing the RMA is presented. It is, analytically and experimentally, shown that the RMA is a useful tool to analyze the model images with multiplicative correlated noise, which provide a new method to filter or restore this white noise-like signal, such as an SAR
null Hong Sun, H. Maitre
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2008
Multiresolution analysis has received considerable attention in recent years by researchers in the fields of computer graphics, geometric modeling and visualization. They are now considered a powerful tool for efficiently representing functions at multiple levels-of-detail with many inherent advantages, including compression, Level-Of-Details (LOD ...
Bonneau, Georges-Pierre +3 more
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Multiresolution analysis has received considerable attention in recent years by researchers in the fields of computer graphics, geometric modeling and visualization. They are now considered a powerful tool for efficiently representing functions at multiple levels-of-detail with many inherent advantages, including compression, Level-Of-Details (LOD ...
Bonneau, Georges-Pierre +3 more
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Oblique multiresolution analysis
Proceedings of IEEE-SP International Symposium on Time- Frequency and Time-Scale Analysis, 2002We present a new type of multiresolution, called oblique multiresolution (OMR), necessary in the decision context. All the fundamental properties of OMR are given and justified. The aim is to develop a multiresolution analysis which provide a redundant decomposition for use in the detection and classification application.
Z. Tira +3 more
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Logarithmic multiresolution analysis
2015 IEEE International Conference on Image Processing (ICIP), 2015Recently, 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
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Convex multiresolution analysis
Proceedings of Third International Symposium on Time-Frequency and Time-Scale Analysis (TFTS-96), 1998A 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.
P.L. Combettes, J.-C. Pesquet
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Wavelets with Frame Multiresolution Analysis
Journal of Fourier Analysis and Applications, 2003Let \(A\) 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.
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Multiresolution Analysis and Supercompact Multiwavelets
SIAM Journal on Scientific Computing, 2000Summary: 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 ...
Beam, Richard M., Warming, Robert F.
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Generalized Multiresolution Analysis on Unstructured Grids
Numerische Mathematik, 1999The authors show that the efficiency of high-order essentially non-oscillatory approximations of conservation laws can be improved if ideas of multiresolution analysis (cf. Abgrall and Harten, CAM-reports 93-13, 94-10 and 94-20, University of California, Los Angeles, 1993-1994) are taken in account.These methods of data compression reduce the necessary
Schröder-Pander, Friederike +2 more
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