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This paper seeks to bridge the two major algorithmic approaches to sparse signal recovery from an incomplete set of linear measurements -- L_1-minimization methods and iterative methods (Matching Pursuits). We find a simple regularized…

Numerical Analysis · Mathematics 2008-03-15 Deanna Needell , Roman Vershynin

This work is concerned with the recovery of piecewise constant images from noisy linear measurements. We study the noise robustness of a variational reconstruction method, which is based on total (gradient) variation regularization. We show…

Numerical Analysis · Mathematics 2025-07-08 Yohann De Castro , Vincent Duval , Romain Petit

Vehicles, search and rescue personnel, and endoscopes use flash lights to locate, identify, and view objects in their surroundings. Here we show the first steps of how all these tasks can be done around corners with consumer cameras. Recent…

Computer Vision and Pattern Recognition · Computer Science 2018-10-30 Matthew Tancik , Guy Satat , Ramesh Raskar

A new algorithm is developed to jointly recover a temporal sequence of images from noisy and under-sampled Fourier data. Specifically, we consider the case where each data set is missing vital information that prevents its (individual)…

Numerical Analysis · Mathematics 2022-05-13 Yao Xiao , Jan Glaubitz , Anne Gelb , Guohui Song

Localizing a cloud of points from noisy measurements of a subset of pairwise distances has applications in various areas, such as sensor network localization and reconstruction of protein conformations from NMR measurements. In [1], Drineas…

Information Theory · Computer Science 2019-05-01 Huan Zhang , Yulong Liu , Hong Lei

Real-time dense scene reconstruction during unstable camera motions is crucial for robotics, yet current RGB-D SLAM systems fail when cameras experience large viewpoint changes, fast motions, or sudden shaking. Classical optimization-based…

Robotics · Computer Science 2026-03-04 Siyan Dong , Zijun Wang , Lulu Cai , Yi Ma , Yanchao Yang

We introduce a method to recover a continuous domain representation of a piecewise constant two-dimensional image from few low-pass Fourier samples. Assuming the edge set of the image is localized to the zero set of a trigonometric…

Computer Vision and Pattern Recognition · Computer Science 2016-04-25 Greg Ongie , Mathews Jacob

The paper addresses the generalization of the half-quadratic minimization method for the restoration of images having values in a complete Riemannian manifold. We recall the half-quadratic minimization method using the notation of the…

Numerical Analysis · Mathematics 2018-12-10 Ronny Bergmann , Raymond H. Chan , Ralf Hielscher , Johannes Persch , Gabriele Steidl

A major challenge in single particle reconstruction from cryo-electron microscopy is to establish a reliable ab-initio three-dimensional model using two-dimensional projection images with unknown orientations. Common-lines based methods…

Machine Learning · Computer Science 2013-04-11 Lanhui Wang , Amit Singer , Zaiwen Wen

Single-image human mesh recovery is a challenging task due to the ill-posed nature of simultaneous body shape, pose, and camera estimation. Existing estimators work well on images taken from afar, but they break down as the person moves…

Computer Vision and Pattern Recognition · Computer Science 2024-12-12 Shengze Wang , Jiefeng Li , Tianye Li , Ye Yuan , Henry Fuchs , Koki Nagano , Shalini De Mello , Michael Stengel

Visual localization is to estimate the 6-DOF camera pose of a query image in a 3D reference map. We extract keypoints from the reference image and generate a 3D reference map with 3D reconstruction of the keypoints in advance. We emphasize…

Computer Vision and Pattern Recognition · Computer Science 2025-04-01 Masahiko Tsuji , Hitoshi Niigaki , Ryuichi Tanida

Due to their affordable, low mass, and small dimensions, uncooled microbolometer-based thermal focal plane arrays (UC-FPAs) are useful for long-wave infrared (LWIR)imaging applications. However, in outdoor conditions typical in agricultural…

Image and Video Processing · Electrical Eng. & Systems 2025-03-05 Peretz Yafin , Nir Sochen , Iftach Klapp

The orthogonal matching pursuit (OMP) is an algorithm to solve sparse approximation problems. Sufficient conditions for exact recovery are known with and without noise. In this paper we investigate the applicability of the OMP for the…

Numerical Analysis · Mathematics 2010-10-26 Loic Denis , Dirk A. Lorenz , Dennis Trede

We propose a novel approach for fast and accurate stereo visual Simultaneous Localization and Mapping (SLAM) independent of feature detection and matching. We extend monocular Direct Sparse Odometry (DSO) to a stereo system by optimizing…

Robotics · Computer Science 2021-12-06 Jiawei Mo , Md Jahidul Islam , Junaed Sattar

LiDAR relocalization has attracted increasing attention as it can deliver accurate 6-DoF pose estimation in complex 3D environments. Recent learning-based regression methods offer efficient solutions by directly predicting global poses…

Computer Vision and Pattern Recognition · Computer Science 2026-04-14 Jianshi Wu , Minghang Zhu , Dunqiang Liu , Wen Li , Sheng Ao , Siqi Shen , Chenglu Wen , Cheng Wang

Line segment detection is essential for high-level tasks in computer vision and robotics. Currently, most stateof-the-art (SOTA) methods are dedicated to detecting straight line segments in undistorted pinhole images, thus distortions on…

Computer Vision and Pattern Recognition · Computer Science 2020-11-09 Hao Li , Huai Yu , Wen Yang , Lei Yu , Sebastian Scherer

Purpose: To introduce a novel method for the recovery of multi-shot diffusion weighted (MS-DW) images from echo-planar imaging (EPI) acquisitions. Methods: Current EPI-based MS-DW reconstruction methods rely on the explicit estimation of…

Medical Physics · Physics 2016-02-24 Merry Mani , Mathews Jacob , Douglas Kelley , Vincent Magnotta

We consider the problem of direction finding using partly calibrated arrays, a distributed subarray with position errors between subarrays. The key challenge is to enhance angular resolution in the presence of position errors. To achieve…

Signal Processing · Electrical Eng. & Systems 2022-12-12 Guangbin Zhang , Tianyao Huang , Yimin Liu , Xiqin Wang , Yonina C. Eldar

Within the context of upcoming full-sky lensing surveys, the edge-preserving non- linear algorithm Aski is presented. Using the framework of Maximum A Posteriori inversion, it aims at recovering the full-sky convergence map from surveys…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 C. Pichon , E. Thiebaut , S. Prunet , K. Benabed , S. Colombi , T. Sousbie , R. Teyssier

We studied linear weighted sampling algorithms and their optimality for approximate recovery of functions with mixed smoothness on $\mathbb{R}^d$ from a set of $n$ their sampled values. Functions to be recovered are in weighted Sobolev…

Numerical Analysis · Mathematics 2025-11-11 Dinh Dũng
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