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Translation-invariant de-noising

by R. R. Coifman, D. L. Donoho , 1995
"... De-Noising with the traditional (orthogonal, maximally-decimated) wavelet transform sometimes exhibits visual artifacts; we attribute some of these – for example, Gibbs phenomena in the neighborhood of discontinuities – to the lack of translation invariance of the wavelet basis. One method to suppre ..."
Abstract - Cited by 307 (7 self) - Add to MetaCart
De-Noising with the traditional (orthogonal, maximally-decimated) wavelet transform sometimes exhibits visual artifacts; we attribute some of these – for example, Gibbs phenomena in the neighborhood of discontinuities – to the lack of translation invariance of the wavelet basis. One method

Translation-invariant

by Loukas Grafakos, Javier Soria
"... bilinear operators with positive kernels ..."
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bilinear operators with positive kernels

TRANSLATION INVARIANT IDEALS

by Sławomir Solecki
"... Translation invariant ideals of subsets of groups and their invariant extensions are studied. ..."
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Translation invariant ideals of subsets of groups and their invariant extensions are studied.

On the translation invariance of wavelet subspaces

by Eric Weber - J. Fourier Anal. Appl
"... Abstract. An examination of the translation invariance of V0 under dyadic rationals is presented, generating a new equivalence relation on the collection of wavelets. The equivalence classes under this relation are completely characterized in terms of the support of the Fourier transform of the wave ..."
Abstract - Cited by 13 (3 self) - Add to MetaCart
Abstract. An examination of the translation invariance of V0 under dyadic rationals is presented, generating a new equivalence relation on the collection of wavelets. The equivalence classes under this relation are completely characterized in terms of the support of the Fourier transform

Translation Invariant Propelinear Codes

by Josep Rifà, Jaume Pujol, Phi Z - IEEE Trans. Information Theory , 1997
"... A class of binary group codes is investigated. These codes are the propelinear codes, defined over the Hamming metric space F n , F = f0; 1g, with a group structure. Generally, they are neither abelian nor translation invariant codes but they have good algebraic and combinatorial properties. Line ..."
Abstract - Cited by 21 (12 self) - Add to MetaCart
A class of binary group codes is investigated. These codes are the propelinear codes, defined over the Hamming metric space F n , F = f0; 1g, with a group structure. Generally, they are neither abelian nor translation invariant codes but they have good algebraic and combinatorial properties

Translation invariants of Zernike moments

by Chee-way Chong A, P. Raveendran B, R. Mukundan C , 2002
"... Moment functions de ned using a polar coordinate representation of the image space, such as radial moments and Zernike moments, are used in several recognition tasks requiring rotation invariance. However, this coordinate representation does not easily yield translation invariant functions, which ar ..."
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Moment functions de ned using a polar coordinate representation of the image space, such as radial moments and Zernike moments, are used in several recognition tasks requiring rotation invariance. However, this coordinate representation does not easily yield translation invariant functions, which

Translation Invariant Multiwavelet Transforms

by Kathrin Berkner, Peter R. Massopust , 1998
"... A translation invariant multiwavelet transform is introduced. It is shown that the associated correlation matrices satisfy a matrix-valued refinement equation implying a hidden basis wavelet representation. Properties of the correlation matrices such as regularity, approximation order, and vanishing ..."
Abstract - Cited by 3 (1 self) - Add to MetaCart
A translation invariant multiwavelet transform is introduced. It is shown that the associated correlation matrices satisfy a matrix-valued refinement equation implying a hidden basis wavelet representation. Properties of the correlation matrices such as regularity, approximation order

Translation-Invariant Scene Grouping

by Pin-ching Su, Hwann-tzong Chen, Koichi Ito, Takafumi Aoki
"... Abstract—We present a new approach to the problem of grouping similar scene images. The proposed method characterizes both the global feature layout and the local oriented edge responses of an image, and provides a translation-invariant similarity measure to compare scene images. Our method is effec ..."
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Abstract—We present a new approach to the problem of grouping similar scene images. The proposed method characterizes both the global feature layout and the local oriented edge responses of an image, and provides a translation-invariant similarity measure to compare scene images. Our method

Supervised translation-invariant sparse coding

by Jianchao Yang, Kai Yu, Thomas Huang - IN: IEEE CONFERENCE ON COMPUTER VISION AND PATTERN RECOGNITION , 2010
"... In this paper, we propose a novel supervised hierarchical sparse coding model based on local image descriptors for classification tasks. The supervised dictionary training is performed via back-projection, by minimizing the training error of classifying the image level features, which are extracted ..."
Abstract - Cited by 76 (8 self) - Add to MetaCart
by max pooling over the sparse codes within a spatial pyramid. Such a max pooling procedure across multiple spatial scales offer the model translation invariant properties, similar to the Convolutional Neural Network (CNN). Experiments show that our supervised dictionary improves the performance

for Sparse Translation-Invariant Signals

by Aalborg Universitet, Karsten Duarte, Marco F. Jensen, Søren Holdt, Karsten Fyhn, Student Member, Marco F. Duarte, Søren Holdt Jensen, Senior Member
"... Document Version Early version, also known as pre-print Link to publication from Aalborg University Citation for published version (APA): ..."
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Document Version Early version, also known as pre-print Link to publication from Aalborg University Citation for published version (APA):
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