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We study the matrix denoising problem of estimating the singular vectors of a rank-$1$ signal corrupted by noise with both column and row correlations. Existing works are either unable to pinpoint the exact asymptotic estimation error or,…

Statistics Theory · Mathematics 2024-10-29 Yihan Zhang , Marco Mondelli

Relative colour constancy is an essential requirement for many scientific imaging applications. However, most digital cameras differ in their image formations and native sensor output is usually inaccessible, e.g., in smartphone camera…

Image and Video Processing · Electrical Eng. & Systems 2022-11-23 Yunfeng Zhao , Stuart Ferguson , Huiyu Zhou , Chris Elliott , Karen Rafferty

Depth map estimation from images is an important task in robotic systems. Existing methods can be categorized into two groups including multi-view stereo and monocular depth estimation. The former requires cameras to have large overlapping…

Computer Vision and Pattern Recognition · Computer Science 2022-10-06 Jialei Xu , Xianming Liu , Yuanchao Bai , Junjun Jiang , Kaixuan Wang , Xiaozhi Chen , Xiangyang Ji

Detecting the reflection symmetry plane of an object represented by a 3D point cloud is a fundamental problem in 3D computer vision and geometry processing due to its various applications, such as compression, object detection, robotic…

Computer Vision and Pattern Recognition · Computer Science 2023-07-04 Rajendra Nagar

As an efficient algorithm to solve the multi-view registration problem,the motion averaging (MA) algorithm has been extensively studied and many MA-based algorithms have been introduced. They aim at recovering global motions from relative…

Computer Vision and Pattern Recognition · Computer Science 2022-08-25 Yugeng Huang , Haitao Liu , Tian Huang

We present a novel two-view geometry estimation framework which is based on a differentiable robust loss function fitting. We propose to treat the robust fundamental matrix estimation as an implicit layer, which allows us to avoid…

Computer Vision and Pattern Recognition · Computer Science 2024-10-24 Vladislav Pyatov , Iaroslav Koshelev , Stamatis Lefkimmiatis

In Positron Emission Tomography, movement leads to blurry reconstructions when not accounted for. Whether known a priori or estimated jointly to reconstruction, motion models are increasingly defined in continuum rather that in discrete,…

Optimization and Control · Mathematics 2021-07-22 Camille Pouchol , Olivier Verdier

How to effectively represent camera pose is an essential problem in 3D computer vision, especially in tasks such as camera pose regression and novel view synthesis. Traditionally, 3D position of the camera is represented by Cartesian…

Computer Vision and Pattern Recognition · Computer Science 2021-05-11 Yaxuan Zhu , Ruiqi Gao , Siyuan Huang , Song-Chun Zhu , Ying Nian Wu

Occlusions pose a significant challenge to optical flow algorithms that rely on local evidences. We consider an occluded point to be one that is imaged in the first frame but not in the next, a slight overloading of the standard definition…

Computer Vision and Pattern Recognition · Computer Science 2021-08-02 Shihao Jiang , Dylan Campbell , Yao Lu , Hongdong Li , Richard Hartley

An important step in a multi-sensor surveillance system is to estimate sensor biases from their noisy asynchronous measurements. This estimation problem is computationally challenging due to the highly nonlinear transformation between the…

Information Theory · Computer Science 2018-05-21 Wenqiang Pu , Ya-Feng Liu , Junkun Yan , Hongwei Liu , Zhi-Quan Luo

Accurate registration of 2D imagery with point clouds is a key technology for image-LiDAR point cloud fusion, camera to laser scanner calibration and camera localization. Despite continuous improvements, automatic registration of 2D and 3D…

Computer Vision and Pattern Recognition · Computer Science 2019-12-13 Huai Yu , Weikun Zhen , Wen Yang , Sebastian Scherer

In this paper we consider the issue of reliability of measurements in distributed adaptive estimation problem. To this aim, we assume a sensor network with different observation noise variance among the sensors and propose new estimation…

Systems and Control · Computer Science 2015-07-27 Wael M. Bazzi , Amir Rastegarnia , Azam Khalili

Current traditional methods for LiDAR-camera extrinsics estimation depend on offline targets and human efforts, while learning-based approaches resort to iterative refinement for calibration results, posing constraints on their…

Computer Vision and Pattern Recognition · Computer Science 2023-12-05 Shuang Xu , Sifan Zhou , Zhi Tian , Jizhou Ma , Qiong Nie , Xiangxiang Chu

The estimation of normalizing constants is a fundamental step in probabilistic model comparison. Sequential Monte Carlo methods may be used for this task and have the advantage of being inherently parallelizable. However, the standard…

Machine Learning · Statistics 2016-08-16 Marco Fraccaro , Ulrich Paquet , Ole Winther

We introduce new linear mathematical formulations to calculate the focal length of a camera in an active platform. Through mathematical derivations, we show that the focal lengths in each direction can be estimated using only one point…

Computer Vision and Pattern Recognition · Computer Science 2018-06-12 Mehdi Faraji , Anup Basu

Correspondence search is an essential step in rigid point cloud registration algorithms. Most methods maintain a single correspondence at each step and gradually remove wrong correspondances. However, building one-to-one correspondence with…

Computer Vision and Pattern Recognition · Computer Science 2022-09-30 Jun-Jee Chao , Selim Engin , Nicolai Häni , Volkan Isler

We study the ubiquitous super-resolution problem, in which one aims at localizing positive point sources in an image, blurred by the point spread function of the imaging device. To recover the point sources, we propose to solve a convex…

Information Theory · Computer Science 2020-09-08 Armin Eftekhari , Tamir Bendory , Gongguo Tang

This paper derives a novel linear position constraint for cameras seeing a common scene point, which leads to a direct linear method for global camera translation estimation. Unlike previous solutions, this method deals with collinear…

Computer Vision and Pattern Recognition · Computer Science 2015-09-07 Zhaopeng Cui , Nianjuan Jiang , Chengzhou Tang , Ping Tan

Despite the increasing prevalence of rotating-style capture (e.g., surveillance cameras), conventional stereo rectification techniques frequently fail due to the rotation-dominant motion and small baseline between views. In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2023-07-12 Yongcong Zhang , Yifei Xue , Ming Liao , Huiqing Zhang , Yizhen Lao

Compressed sensing typically deals with the estimation of a system input from its noise-corrupted linear measurements, where the number of measurements is smaller than the number of input components. The performance of the estimation…

Information Theory · Computer Science 2016-11-17 Jin Tan , Danielle Carmon , Dror Baron
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