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We propose a novel regularization method for compressive imaging in the context of the compressed sensing (CS) theory with coherent and redundant dictionaries. Natural images are often complicated and several types of structures can be…

Instrumentation and Methods for Astrophysics · Physics 2014-02-12 Rafael E. Carrillo , Jason D. McEwen , Yves Wiaux

We describe an efficient algorithm for computing the matrix vector products that appear in the numerical resolution of boundary integral equations in 2 space dimension. This work is an extension of the so-called Sparse Cardinal Sine…

Numerical Analysis · Mathematics 2017-11-22 Martin Averseng

The acquisition of Magnetic Resonance Imaging (MRI) is inherently slow. Inspired by recent advances in deep learning, we propose a framework for reconstructing MR images from undersampled data using a deep cascade of convolutional neural…

Computer Vision and Pattern Recognition · Computer Science 2017-03-03 Jo Schlemper , Jose Caballero , Joseph V. Hajnal , Anthony Price , Daniel Rueckert

The focus of this work is on spatial variable selection for scalar-on-image regression. We propose a new class of Bayesian nonparametric models, soft-thresholded Gaussian processes and develop the efficient posterior computation algorithms.…

Methodology · Statistics 2016-04-13 Jian Kang , Brian J. Reich , Ana-Maria Staicu

In recent years, compressed sensing (CS) based image coding has become a hot topic in image processing field. However, since the bit depth required for encoding each CS sample is too large, the compression performance of this paradigm is…

Multimedia · Computer Science 2021-02-03 Bo Zhang , Di Xiao , Lan Wang , Sen Bai , Lei Yang

Strong lensing is a sensitive probe of the small-scale density fluctuations in the Universe. We implement a novel approach to modeling strongly lensed systems using probabilistic cataloging, which is a transdimensional, hierarchical, and…

Cosmology and Nongalactic Astrophysics · Physics 2018-03-06 Tansu Daylan , Francis-Yan Cyr-Racine , Ana Diaz Rivero , Cora Dvorkin , Douglas P. Finkbeiner

Delineating the associations between images and a vector of covariates is of central interest in medical imaging studies. To tackle this problem of image response regression, we propose a novel nonparametric approach in the framework of…

Machine Learning · Statistics 2022-03-04 Daiwei Zhang , Lexin Li , Chandra Sripada , Jian Kang

We investigate the problems of 1-D and 2-D signal recovery from subsampled Hadamard measurements using Haar wavelet sparsity prior. These problems are of interest in, e.g., computational imaging applications relying on optical multiplexing…

Information Theory · Computer Science 2019-07-24 Amirafshar Moshtaghpour , José M. Bioucas Dias , Laurent Jacques

Ultrasound images are commonly formed by sequential acquisition of beam-steered scan-lines. Minimizing the number of required scan-lines can significantly enhance frame rate, field of view, energy efficiency, and data transfer speeds.…

Image and Video Processing · Electrical Eng. & Systems 2025-01-08 Simon W. Penninga , Hans van Gorp , Ruud J. G. van Sloun

Measurement of the optical transmission matrix (TM) of an opaque material is an advanced form of space-variant aberration correction. Beyond imaging, TM-based methods are emerging in a range of fields including optical communications,…

In compressive sensing, it is challenging to reconstruct image of high quality from very few noisy linear projections. Existing methods mostly work well on piecewise constant images but not so well on piecewise smooth images such as natural…

Optimization and Control · Mathematics 2021-02-18 Jing Qin , Weihong Guo

Compressed sensing is designed to measure sparse signals directly in a compressed form. However, most signals of interest are only "approximately sparse", i.e. even though the signal contains only a small fraction of relevant (large)…

Information Theory · Computer Science 2013-04-04 Jean Barbier , Florent Krzakala , Marc Mézard , Lenka Zdeborová

A new thresholding strategy for the estimation of a deterministic image immersed in noise is introduced. The threshold is combined with a wavelet decomposition, where the wavelet coefficient of the image at any fixed value of the…

Statistics Theory · Mathematics 2010-05-10 S. C. Olhede

Compressed sensing has been discussed separately in spatial and temporal domains. Compressive holography has been introduced as a method that allows 3D tomographic reconstruction at different depths from a single 2D image. Coded exposure is…

Computer Vision and Pattern Recognition · Computer Science 2018-09-05 Zihao Wang , Leonidas Spinoulas , Kuan He , Huaijin Chen , Lei Tian , Aggelos K. Katsaggelos , Oliver Cossairt

A new video coding method based on compressive sampling is proposed. In this method, a video is coded using compressive measurements on video cubes. Video reconstruction is performed by minimization of total variation (TV) of the pixelwise…

Multimedia · Computer Science 2013-03-05 Chengbo Li , Hong Jiang , Paul Wilford , Yin Zhang , Mike Scheutzow

The lensless endoscope is a promising device designed to image tissues in vivo at the cellular scale. The traditional acquisition setup consists in raster scanning during which the focused light beam from the optical fiber illuminates…

Computer Vision and Pattern Recognition · Computer Science 2018-10-31 Stéphanie Guérit , Siddharth Sivankutty , Camille Scotté , John Alto Lee , Hervé Rigneault , Laurent Jacques

Recently, many neural network-based image compression methods have shown promising results superior to the existing tool-based conventional codecs. However, most of them are often trained as separate models for different target bit rates,…

Image and Video Processing · Electrical Eng. & Systems 2022-11-09 Jooyoung Lee , Seyoon Jeong , Munchurl Kim

Compressed sensing is a signal processing method that acquires data directly in a compressed form. This allows one to make less measurements than what was considered necessary to record a signal, enabling faster or more precise measurement…

Statistical Mechanics · Physics 2012-08-20 Florent Krzakala , Marc Mézard , François Sausset , Yifan Sun , Lenka Zdeborová

We propose a dictionary-matching-free pipeline for multi-parametric quantitative MRI image computing. Our approach has two stages based on compressed sensing reconstruction and deep learned quantitative inference. The reconstruction phase…

Computer Vision and Pattern Recognition · Computer Science 2020-04-23 Mohammad Golbabaee , Guido Buonincontri , Carolin Pirkl , Marion Menzel , Bjoern Menze , Mike Davies , Pedro Gomez

Common imaging techniques for detecting structural defects typically require sampling at more than twice the spatial frequency to achieve a target resolution. This study introduces a novel framework for imaging structural defects using…

Signal Processing · Electrical Eng. & Systems 2024-12-03 Wei-Chen Li , Chun-Yeon Lin
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