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Inverse imaging problems are inherently under-determined, and hence it is important to employ appropriate image priors for regularization. One recent popular prior---the graph Laplacian regularizer---assumes that the target pixel patch is…

Computer Vision and Pattern Recognition · Computer Science 2017-09-06 Jiahao Pang , Gene Cheung

We introduce a general framework for designing and training neural network layers whose forward passes can be interpreted as solving non-smooth convex optimization problems, and whose architectures are derived from an optimization…

Computer Vision and Pattern Recognition · Computer Science 2020-11-10 Bruno Lecouat , Jean Ponce , Julien Mairal

Due to the factors like processing power limitations and channel capabilities images are often down sampled and transmitted at low bit rates resulting in a low resolution compressed image. High resolution images can be reconstructed from…

Computer Vision and Pattern Recognition · Computer Science 2011-03-01 Liyakathunisa , C. N . Ravi Kumar

Concurrent EEG-fMRI recordings are advantageous over serial recordings, as they offer the ability to explore the relationship between both signals without the compounded effects of nonstationarity in the brain. Nonetheless, analysis of…

Neurons and Cognition · Quantitative Biology 2024-11-12 Jerome Gilles , Travis Meyer , Pamela K. Douglas

Generic deep learning (DL) networks for image restoration like denoising and interpolation lack mathematical interpretability, require voluminous training data to tune a large parameter set, and are fragile in the face of covariate shift.…

Image and Video Processing · Electrical Eng. & Systems 2025-03-13 Jianghe Cai , Gene Cheung , Fei Chen

Medical image restoration tasks aim to recover high-quality images from degraded observations, exhibiting emergent desires in many clinical scenarios, such as low-dose CT image denoising, MRI super-resolution, and MRI artifact removal.…

Image and Video Processing · Electrical Eng. & Systems 2025-07-09 Pengcheng Zheng , Kecheng Chen , Jiaxin Huang , Bohao Chen , Ju Liu , Yazhou Ren , Xiaorong Pu

Image deblurring is relevant in many fields of science and engineering. To solve this problem, many different approaches have been proposed and among the various methods, variational ones are extremely popular. These approaches are…

Numerical Analysis · Mathematics 2021-02-23 Davide Bianchi , Alessandro Buccini , Marco Donatelli , Emma Randazzo

The random walker (RW) algorithm is used for both image segmentation and registration, and possesses several useful properties that make it popular in medical imaging, such as being globally optimizable, allowing user interaction, and…

Computer Vision and Pattern Recognition · Computer Science 2016-07-15 Shawn Andrews , Ghassan Hamarneh

Robust steganography is a technique of hiding secret messages in images so that the message can be recovered after additional image processing. One of the most popular processing operations is JPEG recompression. Unfortunately, most of…

Multimedia · Computer Science 2023-07-07 Jan Butora , Pauline Puteaux , Patrick Bas

In the graph signal processing (GSP) literature, graph Laplacian regularizer (GLR) was used for signal restoration to promote piecewise smooth / constant reconstruction with respect to an underlying graph. However, for signals slowly…

Signal Processing · Electrical Eng. & Systems 2024-04-08 Fei Chen , Gene Cheung , Xue Zhang

Small compression noises, despite being transparent to human eyes, can adversely affect the results of many image restoration processes, if left unaccounted for. Especially, compression noises are highly detrimental to inverse operators of…

Computer Vision and Pattern Recognition · Computer Science 2016-01-08 Xiao Shu , Xiaolin Wu

Graph matching is a challenging problem with very important applications in a wide range of fields, from image and video analysis to biological and biomedical problems. We propose a robust graph matching algorithm inspired in…

Optimization and Control · Mathematics 2013-11-26 Marcelo Fiori , Pablo Sprechmann , Joshua Vogelstein , Pablo Musé , Guillermo Sapiro

Deep learning-based image compression algorithms typically focus on designing encoding and decoding networks and improving the accuracy of entropy model estimation to enhance the rate-distortion (RD) performance. However, few algorithms…

Image and Video Processing · Electrical Eng. & Systems 2024-10-08 Junhui Li , Jutao Li , Xingsong Hou , Huake Wang

Electron ptychography enables dose-efficient atomic-resolution imaging, but conventional reconstruction algorithms suffer from noise sensitivity, slow convergence, and extensive manual hyperparameter tuning for regularization, especially in…

Image and Video Processing · Electrical Eng. & Systems 2025-11-12 Arthur R. C. McCray , Stephanie M. Ribet , Georgios Varnavides , Colin Ophus

Here we consider the problem of denoising features associated to complex data, modeled as signals on a graph, via a smoothness prior. This is motivated in part by settings such as single-cell RNA where the data is very high-dimensional, but…

Machine Learning · Computer Science 2023-12-12 Sam Leone , Xingzhi Sun , Michael Perlmutter , Smita Krishnaswamy

In this paper, we systematically evaluate the performance of adaptive adjustment of the relaxation parameters of various iterative algorithms for X-ray CT reconstruction relying on sparsity priors. Sparsity prior has been found to be an…

Medical Physics · Physics 2015-10-07 Sajib Saha , Murat Tahtali , Andrew Lambert , Mark Pickering

Sparse decomposition has been widely used for different applications, such as source separation, image classification and image denoising. This paper presents a new algorithm for segmentation of an image into background and foreground text…

Computer Vision and Pattern Recognition · Computer Science 2016-12-22 Shervin Minaee , Yao Wang

Sparsity is one of the key concepts that allows the recovery of signals that are subsampled at a rate significantly lower than required by the Nyquist-Shannon sampling theorem. Our proposed framework uses arbitrary multiscale transforms,…

Optimization and Control · Mathematics 2017-05-31 Jackie Ma , Maximilian März

Blind image deblurring, i.e., deblurring without knowledge of the blur kernel, is a highly ill-posed problem. The problem can be solved in two parts: i) estimate a blur kernel from the blurry image, and ii) given estimated blur kernel,…

Computer Vision and Pattern Recognition · Computer Science 2018-12-26 Yuanchao Bai , Gene Cheung , Xianming Liu , Wen Gao

The design of optimal linear block codes capable of being efficiently decoded is of major concern, especially for short block lengths. As near capacity-approaching codes, Low-Density Parity-Check (LDPC) codes possess several advantages over…

Information Theory · Computer Science 2024-10-11 Yoni Choukroun , Lior Wolf