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In this work we present some results that allow to improve the decoding radius in solving polynomial linear systems with errors in the scenario where errors are additive and randomly distributed over a finite field. The decoding radius…

信息论 · 计算机科学 2020-03-05 Eleonora Guerrini , Romain Lebreton , Ilaria Zappatore

In this paper, we analyze the error estimate of a wavelet frame based image restoration method from degraded and incomplete measurements. We present the error between the underlying original discrete image and the approximate solution which…

偏微分方程分析 · 数学 2022-08-23 Jian-Feng Cai , Jae Kyu Choi , Jianbin Yang

Computer simulation models are widely used to study complex physical systems. A related fundamental topic is the inverse problem, also called calibration, which aims at learning about the values of parameters in the model based on…

统计方法学 · 统计学 2024-01-03 Yang Li , Shifeng Xiong

Camera calibration is a first and fundamental step in various computer vision applications. Despite being an active field of research, Zhang's method remains widely used for camera calibration due to its implementation in popular toolboxes.…

计算机视觉与模式识别 · 计算机科学 2023-09-21 Ivan De Boi , Stuti Pathak , Marina Oliveira , Rudi Penne

Radars are an ideal complement to cameras: both are inexpensive, solid-state sensors, with cameras offering fine angular resolution, while radars provide metric depth and robustness under adverse weather. However, radar data is more…

计算机视觉与模式识别 · 计算机科学 2026-05-27 Chuhan Chen , Tianshu Huang , Akarsh Prabhakara , Chaithanya Kumar Mummadi , Zhongxiao Cong , Anthony Rowe , Matthew O'Toole , Deva Ramanan

A new approach is proposed for reconstruction of images from Radon projections. Based on Fourier expansions in orthogonal polynomials of two and three variables, instead of Fourier transforms, the approach provides a new algorithm for the…

经典分析与常微分方程 · 数学 2007-05-23 Yuan Xu

This paper proposes a new extrinsic calibration of kaleidoscopic imaging system by estimating normals and distances of the mirrors. The problem to be solved in this paper is a simultaneous estimation of all mirror parameters consistent…

计算机视觉与模式识别 · 计算机科学 2017-05-30 Kosuke Takahashi , Akihiro Miyata , Shohei Nobuhara , Takashi Matsuyama

Estimating camera poses is a fundamental task for 3D reconstruction and remains challenging given sparsely sampled views (<10). In contrast to existing approaches that pursue top-down prediction of global parametrizations of camera…

计算机视觉与模式识别 · 计算机科学 2024-04-05 Jason Y. Zhang , Amy Lin , Moneish Kumar , Tzu-Hsuan Yang , Deva Ramanan , Shubham Tulsiani

This paper introduces a novel approach to the fine alignment of images in a burst captured by a handheld camera. In contrast to traditional techniques that estimate two-dimensional transformations between frame pairs or rely on discrete…

计算机视觉与模式识别 · 计算机科学 2023-12-11 Bruno Lecouat , Yann Dubois de Mont-Marin , Théo Bodrito , Julien Mairal , Jean Ponce

This paper presents a novel technique for camera calibration using a single view that incorporates a spherical mirror. Leveraging the distinct characteristics of the sphere's contour visible in the image and its reflections, we showcase the…

计算机视觉与模式识别 · 计算机科学 2025-03-18 Nissim Barzilay , Ofek Narinsky , Michael Werman

Accurate camera calibration is a precondition for many computer vision applications. Calibration errors, such as wrong model assumptions or imprecise parameter estimation, can deteriorate a system's overall performance, making the reliable…

计算机视觉与模式识别 · 计算机科学 2021-07-29 Annika Hagemann , Moritz Knorr , Holger Janssen , Christoph Stiller

Nowadays, modern electron microscopes deliver images at atomic scale. The precise atomic structure encodes information about material properties. Thus, an important ingredient in the image analysis is to locate the centers of the atoms…

计算机视觉与模式识别 · 计算机科学 2017-09-13 Benjamin Berkels , Benedikt Wirth

We consider the problem of tracking $n$ targets in the plane using $2n$ cameras. We can use two cameras to estimate the location of a target. We are then interested in forming $n$ camera pairs where each camera belongs to exactly one pair,…

计算几何 · 计算机科学 2009-07-07 Matt Gibson , Gaurav Kanade , Erik Krohn , Kasturi Varadarajan

Photometric stereo is a method that seeks to reconstruct the normal vectors of an object from a set of images of the object illuminated under different light sources. While effective in some situations, classical photometric stereo relies…

计算机视觉与模式识别 · 计算机科学 2018-08-09 Andrew J. Wagenmaker , Brian E. Moore , Raj Rao Nadakuditi

We study the problem of approximating an unknown function $f:\mathbb{R}\to\mathbb{R}$ by a degree-$d$ polynomial using as few function evaluations as possible, where error is measured with respect to a probability distribution $\mu$.…

数据结构与算法 · 计算机科学 2025-08-11 Chris Camaño , Raphael A. Meyer , Kevin Shu

Coherent imaging systems, such as medical ultrasound and synthetic aperture radar (SAR), are subject to corruption from speckle due to sub-resolution scatterers. Since speckle is multiplicative in nature, the constituent image regions…

图像与视频处理 · 电气工程与系统科学 2023-11-21 Soumee Guha , Scott T. Acton

This paper presents a method for extrinsic camera calibration (estimation of camera rotation and translation matrices) from a sequence of images. It is assumed camera intrinsic matrix and distortion coefficients are known and fixed during…

计算机视觉与模式识别 · 计算机科学 2018-10-01 Jacek Komorowski , Przemyslaw Rokita

The presence of inhomogeneous media between optical sensors and objects leads to distorted imaging outputs, significantly complicating downstream image-processing tasks. A key challenge in image restoration is the lack of high-quality,…

计算机视觉与模式识别 · 计算机科学 2025-04-22 Chu Chen , Han Zhang , Lok Ming Lui

Determining the shape of 3D objects from high-frequency radar signals is analytically complex but critical for commercial and aerospace applications. Previous deep learning methods have been applied to radar modeling; however, they often…

计算机视觉与模式识别 · 计算机科学 2025-11-24 Neel Sortur , Justin Goodwin , Purvik Patel , Luis Enrique Martinez , Tzofi Klinghoffer , Rajmonda S. Caceres , Robin Walters

This work presents a camera model for refractive media such as water and its application in underwater visual-inertial odometry. The model is self-calibrating in real-time and is free of known correspondences or calibration targets. It is…

机器人学 · 计算机科学 2023-10-26 Mohit Singh , Mihir Dharmadhikari , Kostas Alexis