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Safety is one of the most critical factors in robotics, especially when robots have to collaborate with people in a~shared environment. Testing the physical systems, however, must focus on much more than just software. One of the common…

Robotics · Computer Science 2021-04-02 Krystian Chachuła , Maciej Stefańczyk

This is a study of a problem in geodesy with methods from complex algebraic geometry: for a fixed number of measure points and target points at unknown position in the Euclidean plane, we study the problem of determining their relative…

Algebraic Geometry · Mathematics 2015-01-28 Josef Schicho , Matteo Gallet

This paper addresses object perception applied to mobile robotics. Being able to perceive semantically meaningful objects in unstructured environments is a key capability in order to make robots suitable to perform high-level tasks in home…

Robotics · Computer Science 2015-03-18 Arnau Ramisa , David Aldavert , Shrihari Vasudevan , Ricardo Toledo , Ramon Lopez de Mantaras

The problem of structure from motion is concerned with recovering the 3-dimensional structure of an object from a set of 2-dimensional images taken by unknown cameras. Generally, all information can be uniquely recovered if enough images…

Algebraic Geometry · Mathematics 2024-03-01 Martin Bråtelund

Visual localization is the task of accurate camera pose estimation in a known scene. It is a key problem in computer vision and robotics, with applications including self-driving cars, Structure-from-Motion, SLAM, and Mixed Reality.…

Computer Vision and Pattern Recognition · Computer Science 2019-03-19 Torsten Sattler , Qunjie Zhou , Marc Pollefeys , Laura Leal-Taixe

With rapid advancements in the area of mobile robotics and industrial automation, a growing need has arisen towards accurate navigation and localization of moving objects. Camera based motion estimation is one such technique which is…

Computer Vision and Pattern Recognition · Computer Science 2024-05-07 Shashi Poddar , Rahul Kottath , Vinod Karar

Image editing and compositing have become ubiquitous in entertainment, from digital art to AR and VR experiences. To produce beautiful composites, the camera needs to be geometrically calibrated, which can be tedious and requires a physical…

Computer Vision and Pattern Recognition · Computer Science 2023-07-28 Yannick Hold-Geoffroy , Dominique Piché-Meunier , Kalyan Sunkavalli , Jean-Charles Bazin , François Rameau , Jean-François Lalonde

The cross-depiction problem is that of recognising visual objects regardless of whether they are photographed, painted, drawn, etc. It is a potentially significant yet under-researched problem. Emulating the remarkable human ability to…

Computer Vision and Pattern Recognition · Computer Science 2015-05-04 Hongping Cai , Qi Wu , Tadeo Corradi , Peter Hall

Camera, and associated with its objects within the field of view, localization could benefit many computer vision fields, such as autonomous driving, robot navigation, and augmented reality (AR). In this survey, we first introduce specific…

Computer Vision and Pattern Recognition · Computer Science 2022-01-19 Meng Xu , Youchen Wang , Bin Xu , Jun Zhang , Jian Ren , Stefan Poslad , Pengfei Xu

We survey theoretical, algorithmic, and computational results at the intersection of distance geometry problems and mathematical programming, both with and without adjacencies as part of the input. While mathematical programming methods can…

Optimization and Control · Mathematics 2024-10-22 Leo Liberti , Carlile Lavor

In this paper, we will study the following pattern recognition problem: Every pattern is a 3-dimensional graph, its surface can be split up into some regions, every region is composed of the pixels with the approximately same colour value…

Neurons and Cognition · Quantitative Biology 2017-03-07 YongHong Chen

This paper studies the problem of 3D volumetric reconstruction from two views of a scene with an unknown camera. While seemingly easy for humans, this problem poses many challenges for computers since it requires simultaneously…

Computer Vision and Pattern Recognition · Computer Science 2020-07-28 Shengyi Qian , Linyi Jin , David F. Fouhey

We study algebraic varieties associated with the camera resectioning problem. We characterize these resectioning varieties' multigraded vanishing ideals using Gr\"obner basis techniques. As an application, we derive and re-interpret…

Algebraic Geometry · Mathematics 2023-09-11 Erin Connelly , Timothy Duff , Jessie Loucks-Tavitas

Visual object counting is a fundamental computer vision task underpinning numerous real-world applications, from cell counting in biomedicine to traffic and wildlife monitoring. However, existing methods struggle to handle the challenge of…

Computer Vision and Pattern Recognition · Computer Science 2025-07-31 Corentin Dumery , Noa Etté , Aoxiang Fan , Ren Li , Jingyi Xu , Hieu Le , Pascal Fua

This paper primarily focuses on figuring out the best array of cameras, or visual sensors, so that such a placement enables the maximum utilization of these visual sensors. Maximizing the utilization of these cameras can convert to another…

Computer Vision and Pattern Recognition · Computer Science 2019-10-29 Lin Xu

Over the past few years, deep learning techniques have achieved tremendous success in many visual understanding tasks such as object detection, image segmentation, and caption generation. Despite this thriving in computer vision and natural…

Computer Vision and Pattern Recognition · Computer Science 2019-03-26 Anh Nguyen

In general, the problem of non-rigid registration is about matching two different scans of a dynamic object taken at two different points in time. These scans can undergo both rigid motions and non-rigid deformations. Since new parts of the…

Computer Vision and Pattern Recognition · Computer Science 2021-11-09 Alireza Ahmadi

Image segmentation is a key topic in image processing and computer vision with applications such as scene understanding, medical image analysis, robotic perception, video surveillance, augmented reality, and image compression, among many…

Computer Vision and Pattern Recognition · Computer Science 2020-11-17 Shervin Minaee , Yuri Boykov , Fatih Porikli , Antonio Plaza , Nasser Kehtarnavaz , Demetri Terzopoulos

Image segmentation is a central topic in image processing and computer vision and a key issue in many applications, e.g., in medical imaging, microscopy, document analysis and remote sensing. According to the human perception, image…

Numerical Analysis · Mathematics 2022-06-24 Laura Antonelli , Valentina De Simone , Daniela di Serafino

At a first glance, the problem of illuminating the boundary of a convex body by external light sources and the problem of covering a convex body by its smaller positive homothetic copies appear to be quite different. They are in fact two…

Metric Geometry · Mathematics 2018-11-06 Karoly Bezdek , Muhammad A. Khan
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