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A compressive sensing method combined with decomposition of a matrix formed with image frames of a surveillance video into low rank and sparse matrices is proposed to segment the background and extract moving objects in a surveillance…

Computer Vision and Pattern Recognition · Computer Science 2013-02-11 Hong Jiang , Wei Deng , Zuowei Shen

This study presents an effective autofocusing approach for synthetic aperture radar imaging of the human body under conditions of respiratory motion. The proposed method suppresses respiratory-motion-induced phase errors by separating radar…

Signal Processing · Electrical Eng. & Systems 2026-01-13 Masaya Kato , Takuya Sakamoto

Compressed sensing (CS) methods in magnetic resonance imaging (MRI) offer rapid acquisition and improved image quality but require iterative reconstruction schemes with regularization to enforce sparsity. Regardless of the difficulty in…

Computer Vision and Pattern Recognition · Computer Science 2018-09-19 Raji Susan Mathew , Joseph Suresh Paul

We propose an algorithm for rotational sparse coding along with an efficient implementation using steerability. Sparse coding (also called dictionary learning) is an important technique in image processing, useful in inverse problems,…

Image and Video Processing · Electrical Eng. & Systems 2020-01-31 Michael T. McCann , Vincent Andrearczyk , Michael Unser , Adrien Depeursinge

The effectiveness of using model sparsity as a priori information when solving linear inverse problems is studied. We investigate the reconstruction quality of such a method in the non-idealized case and compute some typical recovery errors…

Numerical Analysis · Mathematics 2010-07-19 Ignace Loris , Caroline Verhoeven

Sparse signal reconstruction algorithms have attracted research attention due to their wide applications in various fields. In this paper, we present a simple Bayesian approach that utilizes the sparsity constraint and a priori statistical…

Statistics Theory · Mathematics 2015-06-05 Ahmed A. Quadeer , Tareq Y. Al-Naffouri

We propose and analyze an online algorithm for reconstructing a sequence of signals from a limited number of linear measurements. The signals are assumed sparse, with unknown support, and evolve over time according to a generic nonlinear…

Optimization and Control · Mathematics 2015-03-12 Joao F. C. Mota , Nikos Deligiannis , Aswin C. Sankaranarayanan , Volkan Cevher , Miguel R. D. Rodrigues

Motion blur is a frequently observed image artifact, especially under insufficient illumination where exposure time has to be prolonged so as to collect more photons for a bright enough image. Rather than simply removing such blurring…

Computer Vision and Pattern Recognition · Computer Science 2024-04-02 Xiang Ji , Haiyang Jiang , Yinqiang Zheng

Magnetic Resonance Imaging (MRI) offers high-resolution \emph{in vivo} imaging and rich functional and anatomical multimodality tissue contrast. In practice, however, there are challenges associated with considerations of scanning costs,…

Computer Vision and Pattern Recognition · Computer Science 2017-05-09 Yawen Huang , Ling Shao , Alejandro F. Frangi

Given fruitful works in the image monitoring, there is a lack of data-driven tools guiding the practitioners to select proper monitoring procedures. The potential model mismatch caused by the arbitrary selection could deviate the empirical…

Methodology · Statistics 2023-10-03 Tingnan Gong

This paper develops new theory and algorithms to recover signals that are approximately sparse in some general dictionary (i.e., a basis, frame, or over-/incomplete matrix) but corrupted by a combination of interference having a sparse…

Information Theory · Computer Science 2013-09-06 Christoph Studer , Richard G. Baraniuk

Cardiac magnetic resonance (CMR) image acquisition requires subjects to hold their breath while 2D cine images are acquired. This process assumes that the heart remains in the same position across all slices. However, differences in…

Image and Video Processing · Electrical Eng. & Systems 2024-04-02 Nil Stolt-Ansó , Vasiliki Sideri-Lampretsa , Maik Dannecker , Daniel Rueckert

We present a method to combine markerless motion capture and dense pose feature estimation into a single framework. We demonstrate that dense pose information can help for multiview/single-view motion capture, and multiview motion capture…

Computer Vision and Pattern Recognition · Computer Science 2018-12-12 Xiu Li , Yebin Liu , Hanbyul Joo , Qionghai Dai , Yaser Sheikh

Compressive sensing claims that the sparse signals can be reconstructed exactly from many fewer measurements than traditionally believed necessary. One of issues ensuring the successful compressive sensing is to deal with the…

Information Theory · Computer Science 2009-03-31 Lianlin Li , Fang Li

Motivated by the question of optimal functional approximation via compressed sensing, we propose generalizations of the Iterative Hard Thresholding and the Compressive Sampling Matching Pursuit algorithms able to promote sparse in levels…

Information Theory · Computer Science 2021-11-01 Ben Adcock , Simone Brugiapaglia , Matthew King-Roskamp

Magnetic resonance imaging (MRI) is the non-invasive modality of choice for body tissue composition analysis due to its excellent soft tissue contrast and lack of ionizing radiation. However, quantification of body composition requires an…

Computer Vision and Pattern Recognition · Computer Science 2018-10-16 Ismail Irmakci , Sarfaraz Hussein , Aydogan Savran , Rita R. Kalyani , David Reiter , Chee W. Chia , Kenneth W. Fishbein , Richard G. Spencer , Luigi Ferrucci , Ulas Bagci

Inpainting-based compression represents images in terms of a sparse subset of its pixel data. Storing the carefully optimised positions of known data creates a lossless compression problem on sparse and often scattered binary images. This…

Image and Video Processing · Electrical Eng. & Systems 2021-08-03 Rahul Mohideen Kaja Mohideen , Pascal Peter , Joachim Weickert

We propose a Multi-step Screening Procedure (MSP) for the recovery of sparse linear models in high-dimensional data. This method is based on a repeated small penalty strategy that quickly converges to an estimate within a few iterations.…

Methodology · Statistics 2019-12-13 Yuehan Yang , Ji Zhu , Edward I. George

Recently, the problem of blind image separation has been widely investigated, especially the medical image denoise which is the main step in medical diag-nosis. Removing the noise without affecting relevant features of the image is the main…

Computer Vision and Pattern Recognition · Computer Science 2018-07-11 R. M. Farouk , M. E. Abd El-aziz , A. M. Adam

The recovery of signals with finite-valued components from few linear measurements is a problem with widespread applications and interesting mathematical characteristics. In the compressed sensing framework, tailored methods have been…

Optimization and Control · Mathematics 2019-07-24 Sophie M. Fosson , Mohammad Abuabiah
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