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We propose an image deconvolution algorithm when the data is contaminated by Poisson noise. The image to restore is assumed to be sparsely represented in a dictionary of waveforms such as the wavelet or curvelet transform. Our key…

Optimization and Control · Mathematics 2008-03-25 François-Xavier Dupé , Jalal Fadili , Jean Luc Starck

Image deblurring is a classical computer vision problem that aims to recover a sharp image from a blurred image. To solve this problem, existing methods apply the Encode-Decode architecture to design the complex networks to make a good…

Image and Video Processing · Electrical Eng. & Systems 2021-10-13 Wenbin Zou , Mingchao Jiang , Yunchen Zhang , Liang Chen , Zhiyong Lu , Yi Wu

Signal denoising is a key preprocessing step for many applications, as the performance of a learning task is closely related to the quality of the input data. In this paper, we apply a signal processing based deep neural network…

Sound · Computer Science 2022-11-16 Gaetan Frusque , Olga Fink

This paper has been withdrawn because of serious errors.

High Energy Physics - Theory · Physics 2007-05-23 T. G. Philbin

This paper has been withdrawn by the authors.

Statistics Theory · Mathematics 2007-06-13 Jani Lahtinen

This paper has been withdrawn by the authors.

Soft Condensed Matter · Physics 2011-11-10 Chris J. Lee , Tim Molteno , Peter J. Manson

Image denoising aims to restore a clean image from an observed noisy image. The model-based image denoising approaches can achieve good generalization ability over different noise levels and are with high interpretability. Learning-based…

Image and Video Processing · Electrical Eng. & Systems 2022-07-13 Jun-Jie Huang , Pier Luigi Dragotti

This work deals with unsupervised image deblurring. We present a new deblurring procedure on images provided by low-resolution synthetic aperture radar (SAR) or simply by multimedia in presence of multiplicative (speckle) or additive noise,…

Computer Vision and Pattern Recognition · Computer Science 2016-08-03 Mario Mastriani

This paper has been withdrawn. A significantly revised version will be posted in the near future.

Quantum Physics · Physics 2012-08-07 J. Acacio de Barros , Gary Oas , P. Suppes

This paper has been withdrawn by the author due to rewritting and skipping crucial sign errors.

Mathematical Physics · Physics 2012-08-08 Juergen Geiser , Julia Duras , Ralf Schneider , Konstantin Matyash , David Tskhakaya , O. Kalentyev

In this paper, we propose an invertible neural network for image denoising (DnINN) inspired by the transform-based denoising framework. The proposed DnINN consists of an invertible neural network called LINN whose architecture is inspired…

Image and Video Processing · Electrical Eng. & Systems 2021-05-10 Jun-Jie Huang , Pier Luigi Dragotti

The advancement of imaging devices and countless images generated everyday pose an increasingly high demand on image denoising, which still remains a challenging task in terms of both effectiveness and efficiency. To improve denoising…

Image and Video Processing · Electrical Eng. & Systems 2023-05-10 Zhaoming Kong , Fangxi Deng , Haomin Zhuang , Jun Yu , Lifang He , Xiaowei Yang

Sparse representation of images under certain transform domain has been playing a fundamental role in image restoration tasks. One such representative method is the widely used wavelet tight frame systems. Instead of adopting fixed filters…

Computer Vision and Pattern Recognition · Computer Science 2016-03-02 Dai-Qiang Chen

Today, image denoising by thresholding of wavelet coefficients is a commonly used tool for 2D image enhancement. Since the data product of spectroscopic imaging surveys has two spatial and one spectral dimension, the techniques for…

Instrumentation and Methods for Astrophysics · Physics 2015-06-03 Lars Flöer , Benjamin Winkel

In many data analysis applications the following scenario is commonplace: we are given a point set that is supposed to sample a hidden ground truth $K$ in a metric space, but it got corrupted with noise so that some of the data points lie…

Computational Geometry · Computer Science 2017-03-28 Mickaël Buchet , Tamal K. Dey , Jiayuan Wang , Yusu Wang

This paper has been withdrawn by the author due to some mistakes

Quantum Physics · Physics 2009-06-18 Daqing Liu

This work introduces a Transformer-based image compression system. It has the flexibility to switch between the standard image reconstruction and the denoising reconstruction from a single compressed bitstream. Instead of training separate…

Image and Video Processing · Electrical Eng. & Systems 2024-02-21 Yi-Hsin Chen , Kuan-Wei Ho , Shiau-Rung Tsai , Guan-Hsun Lin , Alessandro Gnutti , Wen-Hsiao Peng , Riccardo Leonardi

In this paper we propose a new wavelet transform applicable to functions defined on graphs, high dimensional data and networks. The proposed method generalizes the Haar-like transform proposed in [1], and it is defined via a hierarchical…

Computer Vision and Pattern Recognition · Computer Science 2015-05-20 Idan Ram , Michael Elad , Israel Cohen

In this paper, we propose a new redundant wavelet transform applicable to scalar functions defined on high dimensional coordinates, weighted graphs and networks. The proposed transform utilizes the distances between the given data points.…

Computer Vision and Pattern Recognition · Computer Science 2015-06-03 Idan Ram , Michael Elad , Israel Cohen

This paper has been withdrawn by the author(s), due a crucial error on the entanglement of $\Gamma$ registers.

Quantum Physics · Physics 2008-01-19 Wenxu Xu , Minghong Liao