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Embodied computer vision considers perception for robots in novel, unstructured environments. Of particular importance is the embodied visual exploration problem: how might a robot equipped with a camera scope out a new environment? Despite…

Computer Vision and Pattern Recognition · Computer Science 2020-08-24 Santhosh K. Ramakrishnan , Dinesh Jayaraman , Kristen Grauman

This paper provides an overview of modern digital geometry and topology through mathematical principles, algorithms, and measurements. It also covers recent developments in the applications of digital geometry and topology including image…

Discrete Mathematics · Computer Science 2018-07-09 Li Chen , David Coeurjolly

Recent approaches on visual scene understanding attempt to build a scene graph -- a computational representation of objects and their pairwise relationships. Such rich semantic representation is very appealing, yet difficult to obtain from…

Computer Vision and Pattern Recognition · Computer Science 2018-11-08 Paul Gay , Stuart James , Alessio Del Bue

The problem of calibration from straight lines is fundamental in geometric computer vision, with well-established theoretical foundations. However, its practical applicability remains limited, particularly in real-world outdoor scenarios.…

Computer Vision and Pattern Recognition · Computer Science 2025-05-02 Gregory Schroeder , Mohamed Sabry , Cristina Olaverri-Monreal

Calibration of multi-camera systems is a key task for accurate object tracking. However, it remains a challenging problem in real-world conditions, where traditional methods are not applicable due to the lack of accurate floor plans,…

Image and Video Processing · Electrical Eng. & Systems 2025-12-08 Aleksandr Abramov

Geometric camera calibration is often required for applications that understand the perspective of the image. We propose perspective fields as a representation that models the local perspective properties of an image. Perspective Fields…

Computer Vision and Pattern Recognition · Computer Science 2023-03-17 Linyi Jin , Jianming Zhang , Yannick Hold-Geoffroy , Oliver Wang , Kevin Matzen , Matthew Sticha , David F. Fouhey

In many scenarios where cameras are applied, such as robot positioning and unmanned driving, camera calibration is one of the most important pre-work. The interactive calibration method based on the plane board is becoming popular in camera…

Computer Vision and Pattern Recognition · Computer Science 2020-10-14 Wentai Lei , Mengdi Xu , Feifei Hou , Wensi Jiang

Construction robots operate in unstructured construction sites, where effective visual perception is crucial for ensuring safe and seamless operations. However, construction robots often handle large elements and perform tasks across…

Robotics · Computer Science 2024-12-17 Jia Xu , Manish Dixit , Xi Wang

The traditional study of plane and space algebraic curves by looking at their tangent vectors, curvatures and torsions provides geometric, but unfortunately not sufficient information about individual curves in order to be able to…

Algebraic Geometry · Mathematics 2021-03-04 Hana Melanova

Technological advances in sensor manufacture, communication, and computing are stimulating the development of new applications that are transforming traditional vision systems into pervasive intelligent camera networks. The analysis of…

Computer Vision and Pattern Recognition · Computer Science 2013-02-05 Mingli Song , Dachent Tao , Stephen J. Maybank

In this paper we give a brief overview of the geometry of involute gears, from a mathematical more than an engineering perspective. We also list some of the many variant geared mechanisms and discuss some of our 3D printed mechanisms.

History and Overview · Mathematics 2023-01-02 Elisabetta A. Matsumoto , Henry Segerman

We tackle a new problem of multi-view camera and subject registration in the bird's eye view (BEV) without pre-given camera calibration. This is a very challenging problem since its only input is several RGB images from different…

Computer Vision and Pattern Recognition · Computer Science 2024-04-30 Zekun Qian , Ruize Han , Wei Feng , Feifan Wang , Song Wang

Camera calibration is an essential first step in setting up 3D Computer Vision systems. Commonly used parametric camera models are limited to a few degrees of freedom and thus often do not optimally fit to complex real lens distortion. In…

Computer Vision and Pattern Recognition · Computer Science 2020-06-24 Thomas Schöps , Viktor Larsson , Marc Pollefeys , Torsten Sattler

We present a generalization of multiview varieties as closures of images obtained by projecting subspaces of a given dimension onto several views, from the photographic and geometric points of view. Motivated by applications in Computer…

Algebraic Geometry · Mathematics 2024-04-05 Felix Rydell

Recently, virtual reality, augmented reality, robotics, autonomous driving et al attract much attention of both academic and industrial community, in which image based camera localization is a key task. However, there has not been a…

Computer Vision and Pattern Recognition · Computer Science 2018-05-04 Yihong Wu , Fulin Tang , Heping Li

We provide criteria for deciding whether a given planar curve is an image of a given spatial curve, obtained by a central or a parallel projection with unknown parameters. These criteria reduce the projection problem to a certain…

Computer Vision and Pattern Recognition · Computer Science 2015-03-14 Joseph M. Burdis , Irina A. Kogan

Being able to explore an environment and understand the location and type of all objects therein is important for indoor robotic platforms that must interact closely with humans. However, it is difficult to evaluate progress in this area…

Robotics · Computer Science 2020-09-14 David Hall , Ben Talbot , Suman Raj Bista , Haoyang Zhang , Rohan Smith , Feras Dayoub , Niko Sünderhauf

Automated driving is an active area of research in both industry and academia. Automated Parking, which is automated driving in a restricted scenario of parking with low speed manoeuvring, is a key enabling product for fully autonomous…

Computer Vision and Pattern Recognition · Computer Science 2021-04-27 Markus Heimberger , Jonathan Horgan , Ciaran Hughes , John McDonald , Senthil Yogamani

Since edge detection is in the forefront of image processing for object detection, it is crucial to have a good understanding of edge detection algorithms. The reason for this is that edges form the outline of an object. An edge is the…

Computer Vision and Pattern Recognition · Computer Science 2013-11-22 Shubham Saini , Bhavesh Kasliwal , Shraey Bhatia

We study the problem of visibility in polyhedral terrains in the presence of multiple viewpoints. We consider a triangulated terrain with $m>1$ viewpoints (or guards) located on the terrain surface. A point on the terrain is considered…

Computational Geometry · Computer Science 2014-12-02 Ferran Hurtado , Maarten Löffler , Inês Matos , Vera Sacristán , Maria Saumell , Rodrigo I. Silveira , Frank Staals