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In many imaging applications where segmented features (e.g. blood vessels) are further used for other numerical simulations (e.g. finite element analysis), the obtained surfaces do not have fine resolutions suitable for the task. Increasing…

Analysis of PDEs · Mathematics 2023-09-19 Yiyao Zhang , Ke Chen , Shang-Hua Yang

Most existing learning-based methods for solving imaging inverse problems can be roughly divided into two classes: iterative algorithms, such as plug-and-play and diffusion methods leveraging pretrained denoisers, and unrolled architectures…

Image and Video Processing · Electrical Eng. & Systems 2026-03-31 Matthieu Terris , Samuel Hurault , Maxime Song , Julian Tachella

A modular method was suggested before to recover a band limited signal from the sample and hold and linearly interpolated (or, in general, an nth-order-hold) version of the regular samples. In this paper a novel approach for compensating…

Computer Vision and Pattern Recognition · Computer Science 2012-05-15 Mohammad Tofighi , Ali Ayremlou , Farokh Marvasti

Coupled tensor approximation has recently emerged as a promising approach for the fusion of hyperspectral and multispectral images, reconciling state of the art performance with strong theoretical guarantees. However, tensor-based…

Signal Processing · Electrical Eng. & Systems 2021-04-21 Ricardo Augusto Borsoi , Clémence Prévost , Konstantin Usevich , David Brie , José Carlos Moreira Bermudez , Cédric Richard

We present a geometric multilevel optimization approach that smoothly incorporates box constraints. Given a box constrained optimization problem, we consider a hierarchy of models with varying discretization levels. Finer models are…

Optimization and Control · Mathematics 2024-04-23 Sebastian Müller , Stefania Petra , Matthias Zisler

In this paper, a new regularization term is proposed to solve mathematical image problems. By using difference operators in the four directions; horizontal, vertical and two diagonal directions, an estimation of derivative amplitude is…

Numerical Analysis · Mathematics 2022-09-14 Alireza Hosseini

We present a deblurring method for scenes with occluding objects using a carefully designed layered blur model. Layered blur model is frequently used in the motion deblurring problem to handle locally varying blurs, which is caused by…

Computer Vision and Pattern Recognition · Computer Science 2016-11-30 Byeongjoo Ahn , Tae Hyun Kim , Wonsik Kim , Kyoung Mu Lee

This paper tackles the problem of dynamic scene deblurring. Although end-to-end fully convolutional designs have recently advanced the state-of-the-art in non-uniform motion deblurring, their performance-complexity trade-off is still…

Image and Video Processing · Electrical Eng. & Systems 2022-01-04 Maitreya Suin , Kuldeep Purohit , A. N. Rajagopalan

This paper presents a robust tracking controller for tracking curvature-constrained paths by vehicles/robots with uncertain Dubins dynamics. Although Dubins paths have been widely used in vehicular and robotic applications, robust and…

Systems and Control · Electrical Eng. & Systems 2026-05-26 Xingjian Xue , Sze Zheng Yong

Denoising is of utmost importance for the visualization and processing of images featuring low signal-to-noise ratio. Total variation methods are among the most popular techniques to perform this task improving the signal-to-noise ratio…

Signal Processing · Electrical Eng. & Systems 2022-01-24 Gonzalo D. Maso Talou , Pablo J. Blanco

The alternating direction method of multipliers (ADMM) is a common optimization tool for solving constrained and non-differentiable problems. We provide an empirical study of the practical performance of ADMM on several nonconvex…

Optimization and Control · Mathematics 2016-12-13 Zheng Xu , Soham De , Mario Figueiredo , Christoph Studer , Tom Goldstein

The ability of widely distributed radar systems to capture diverse spatial scattering properties substantially improves radar imaging performance. Traditional imaging methods leverage regularized optimization techniques to reconstruct…

Signal Processing · Electrical Eng. & Systems 2023-07-18 Ahmed Murtada , Bhavani Shankar Mysore Rama Rao , Udo Schroeder

In recent years, the removal of motion blur in photographs has seen impressive progress in the hands of deep learning-based methods, trained to map directly from blurry to sharp images. For this reason, approaches that explicitly use a…

Computer Vision and Pattern Recognition · Computer Science 2023-08-08 Guillermo Carbajal , Patricia Vitoria , José Lezama , Pablo Musé

The joint problem of reconstruction / feature extraction is a challenging task in image processing. It consists in performing, in a joint manner, the restoration of an image and the extraction of its features. In this work, we firstly…

Computer Vision and Pattern Recognition · Computer Science 2024-03-06 Emilie Chouzenoux , Marie-Caroline Corbineau , Jean-Christophe Pesquet , Gabriele Scrivanti

This paper is concerned with a novel regularisation technique for solving linear ill-posed operator equations in Hilbert spaces from data that is corrupted by white noise. We combine convex penalty functionals with extreme-value statistics…

Statistics Theory · Mathematics 2012-04-03 Klaus Frick , Philipp Marnitz , Axel Munk

Consistency training regularizes a model by enforcing predictions of original and perturbed inputs to be similar. Previous studies have proposed various augmentation methods for the perturbation but are limited in that they are agnostic to…

Computation and Language · Computer Science 2022-04-29 Jungsoo Park , Gyuwan Kim , Jaewoo Kang

In this paper we propose a new class of iterative regularization methods for solving ill-posed linear operator equations. The prototype of these iterative regularization methods is in the form of second order evolution equation with a…

Numerical Analysis · Mathematics 2020-06-24 Rongfang Gong , B. Hofmann , Ye Zhang

This paper proposes a novel approach to image deblurring and digital zooming using sparse local models of image appearance. These models, where small image patches are represented as linear combinations of a few elements drawn from some…

Machine Learning · Computer Science 2011-10-07 Florent Couzinie-Devy , Julien Mairal , Francis Bach , Jean Ponce

In this work, we develop a fully implicit Hybrid High-Order algorithm for the Cahn-Hilliard problem in mixed form. The space discretization hinges on local reconstruction operators from hybrid polynomial unknowns at elements and faces. The…

Numerical Analysis · Mathematics 2016-07-01 Florent Chave , Daniele A. Di Pietro , Fabien Marche , Franck Pigeonneau

Blind deconvolution is the problem of recovering a sharp image and a blur kernel from a noisy blurry image. Recently, there has been a significant effort on understanding the basic mechanisms to solve blind deconvolution. While this effort…

Computer Vision and Pattern Recognition · Computer Science 2014-12-02 Daniele Perrone , Paolo Favaro