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Image denoising by sparse 3D transform-domain collaborative filtering

by Kostadin Dabov, Alessandro Foi, Vladimir Katkovnik, Karen Egiazarian - IEEE TRANS. IMAGE PROCESS , 2007
"... We propose a novel image denoising strategy based on an enhanced sparse representation in transform domain. The enhancement of the sparsity is achieved by grouping similar 2-D image fragments (e.g., blocks) into 3-D data arrays which we call “groups.” Collaborative filtering is a special procedure d ..."
Abstract - Cited by 424 (32 self) - Add to MetaCart
We propose a novel image denoising strategy based on an enhanced sparse representation in transform domain. The enhancement of the sparsity is achieved by grouping similar 2-D image fragments (e.g., blocks) into 3-D data arrays which we call “groups.” Collaborative filtering is a special procedure

transform domain

by Emmanuel Ravelli, Gaël Richard, Senior Member, Laurent Daudet
"... Audio signal representations for indexing in the ..."
Abstract - Cited by 1 (0 self) - Add to MetaCart
Audio signal representations for indexing in the

Shiftable Multi-scale Transforms

by Eero Simoncelli, William T. Freeman, Edward H. Adelson, David J. Heeger , 1992
"... Orthogonal wavelet transforms have recently become a popular representation for multiscale signal and image analysis. One of the major drawbacks of these representations is their lack of translation invariance: the content of wavelet subbands is unstable under translations of the input signal. Wavel ..."
Abstract - Cited by 562 (36 self) - Add to MetaCart
. Wavelet transforms are also unstable with respect to dilations of the input signal, and in two dimensions, rotations of the input signal. We formalize these problems by defining a type of translation invariance that we call "shiftability". In the spatial domain, shiftability corresponds to a

The Contourlet Transform: An Efficient Directional Multiresolution Image Representation

by Minh N. Do, Martin Vetterli - IEEE TRANSACTIONS ON IMAGE PROCESSING
"... The limitations of commonly used separable extensions of one-dimensional transforms, such as the Fourier and wavelet transforms, in capturing the geometry of image edges are well known. In this paper, we pursue a “true” two-dimensional transform that can capture the intrinsic geometrical structure t ..."
Abstract - Cited by 513 (20 self) - Add to MetaCart
that is key in visual information. The main challenge in exploring geometry in images comes from the discrete nature of the data. Thus, unlike other approaches, such as curvelets, that first develop a transform in the continuous domain and then discretize for sampled data, our approach starts with a discrete-domain

Optimal Transform Domain Watermark

by Embedding Via, Linear Programming, S. Pereira, S. Voloshynoskiy, T. Pun
"... Optimal transform domain watermark embedding via linear programming PEREIRA, Shelby, VOLOSHYNOVSKYY, Svyatoslav, PUN, Thierry Invisible Digital watermarks have been proposed as a method for discouraging illicit copying and distribution of copyright material. In recent years it has been recognized th ..."
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Optimal transform domain watermark embedding via linear programming PEREIRA, Shelby, VOLOSHYNOVSKYY, Svyatoslav, PUN, Thierry Invisible Digital watermarks have been proposed as a method for discouraging illicit copying and distribution of copyright material. In recent years it has been recognized

Transform-Domain Polynomial Filtering

by Gabor Peceli, Tamas Kovacshazy, Annamaria Varkonyi-Koczy , 1998
"... Polynomial filters are nonlinear systems whose output is a truncated Volterra series expansion of the input or it is the solution of a recursive nonlinear difference equation [1], [2], [3]. In this paper, for implementing polyno- mial filters, the framework of transform-domain digital signal process ..."
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Polynomial filters are nonlinear systems whose output is a truncated Volterra series expansion of the input or it is the solution of a recursive nonlinear difference equation [1], [2], [3]. In this paper, for implementing polyno- mial filters, the framework of transform-domain digital signal

Sparse MRI: The Application of Compressed Sensing for Rapid MR Imaging

by Michael Lustig, David Donoho, John M. Pauly - MAGNETIC RESONANCE IN MEDICINE 58:1182–1195 , 2007
"... The sparsity which is implicit in MR images is exploited to significantly undersample k-space. Some MR images such as angiograms are already sparse in the pixel representation; other, more complicated images have a sparse representation in some transform domain–for example, in terms of spatial finit ..."
Abstract - Cited by 538 (11 self) - Add to MetaCart
The sparsity which is implicit in MR images is exploited to significantly undersample k-space. Some MR images such as angiograms are already sparse in the pixel representation; other, more complicated images have a sparse representation in some transform domain–for example, in terms of spatial

Transform-domain Wyner-Ziv codec for video

by Anne Aaron, Shantanu Rane, Eric Setton, Bernd Girod - in Proceedings of SPIE
"... In current interframe video compression systems, the encoder performs predictive coding to exploit the similarities of successive frames. The Wyner-Ziv Theorem on source coding with side information available only at the decoder suggests that an asymmetric video codec, where individual frames are en ..."
Abstract - Cited by 114 (13 self) - Add to MetaCart
are encoded separately, but decoded conditionally (given temporally adjacent frames) could achieve similar efficiency. We propose a transform-domain Wyner-Ziv coding scheme for motion video that uses intraframe encoding, but interframe decoding. In this system, the transform coefficients of a Wyner-Ziv frame

Transform Domain Analysis of DES

by Guang Gong, Solomon W. Golomb , 1998
"... DES can be regarded as a nonlinear feedback shift register (NLFSR) with input. From this point of view, the tools for pseudo-random sequence analysis are applied to the S-boxes in DES. The properties of the S-boxes of DES under Fourier transform, Hadamard transform, extended Hadamard transform and A ..."
Abstract - Cited by 18 (6 self) - Add to MetaCart
DES can be regarded as a nonlinear feedback shift register (NLFSR) with input. From this point of view, the tools for pseudo-random sequence analysis are applied to the S-boxes in DES. The properties of the S-boxes of DES under Fourier transform, Hadamard transform, extended Hadamard transform

Efficient similarity search in sequence databases

by Rakesh Agrawal, Christos Faloutsos, Arun Swami , 1994
"... We propose an indexing method for time sequences for processing similarity queries. We use the Discrete Fourier Transform (DFT) to map time sequences to the frequency domain, the crucial observation being that, for most sequences of practical interest, only the first few frequencies are strong. Anot ..."
Abstract - Cited by 515 (19 self) - Add to MetaCart
We propose an indexing method for time sequences for processing similarity queries. We use the Discrete Fourier Transform (DFT) to map time sequences to the frequency domain, the crucial observation being that, for most sequences of practical interest, only the first few frequencies are strong
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