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Squared planar markers are a popular tool for fast, accurate and robust camera localization, but its use is frequently limited to a single marker, or at most, to a small set of them for which their relative pose is known beforehand. Mapping…

Computer Vision and Pattern Recognition · Computer Science 2017-01-26 Rafael Muñoz-Salinas , Manuel J. Marín-Jimenez , Enrique Yeguas-Bolivar , Rafael Medina-Carnicer

We present a new method for the analysis of images, a fundamental task in observational astronomy. It is based on the linear decomposition of each object in the image into a series of localised basis functions of different shapes, which we…

Astrophysics · Physics 2008-11-26 Alexandre Refregier

Image segmentation is an inherently ill-posed problem and thus requires regularization in order to limit the search space to reasonable solutions. A majority of segmentation methods integrates these regularization terms in one way or the…

Numerical Analysis · Mathematics 2018-10-31 Uri Nahum , Philippe C. Cattin

Single image pose estimation is a fundamental problem in many vision and robotics tasks, and existing deep learning approaches suffer by not completely modeling and handling: i) uncertainty about the predictions, and ii) symmetric objects…

Computer Vision and Pattern Recognition · Computer Science 2022-07-05 Kieran Murphy , Carlos Esteves , Varun Jampani , Srikumar Ramalingam , Ameesh Makadia

Sparse-view camera pose estimation, which aims to estimate the 6-Degree-of-Freedom (6-DoF) poses from a limited number of images captured from different viewpoints, is a fundamental yet challenging problem in remote sensing applications.…

Computer Vision and Pattern Recognition · Computer Science 2025-05-05 Qingyu Xian , Weiqin Jiao , Hao Cheng , Berend Jan van der Zwaag , Yanqiu Huang

One of the main problems in the study of system of equations of the gravitational lens, is the computation of coordinates from the known position of the source. In the process of computing finds the solution of equations with two unknowns.…

General Relativity and Quantum Cosmology · Physics 2018-09-28 Albert Kotvytskiy , Semen Bronza , Svatoslav Vovk

Accurately estimating camera motion from image sequences poses a significant challenge in computer vision and robotics. Many computer vision methods first compute the essential matrix associated with a motion and then extract orientation…

Systems and Control · Electrical Eng. & Systems 2024-03-12 Tarek Bouazza , Robert Mahony , Tarek Hamel

We describe a method for computing an atlas for the stable or unstable manifold attached to an equilibrium point, and implement the method for the saddle-focus libration points of the planar equilateral restricted four body problem. We…

Dynamical Systems · Mathematics 2019-01-29 Shane Kepley , J. D. Mireles James

In this paper, we address the problem of 6-DoF object pose estimation from a single RGB image. Indirect methods that typically predict intermediate 2D keypoints, followed by a Perspective-n-Point solver, have shown great performance. Direct…

Computer Vision and Pattern Recognition · Computer Science 2026-03-27 Nassim Ali Ousalah , Peyman Rostami , Vincent Gaudillière , Emmanuel Koumandakis , Anis Kacem , Enjie Ghorbel , Djamila Aouada

Uncalibrated photometric stereo aims at estimating the 3D-shape of a surface, given a set of images captured from the same viewing angle, but under unknown, varying illumination. While the theoretical foundations of this inverse problem…

Computer Vision and Pattern Recognition · Computer Science 2020-09-18 Mohammed Brahimi , Yvain Quéau , Bjoern Haefner , Daniel Cremers

In this paper we present a complete classification of the isolated central configurations of the five-body problem with equal masses. This is accomplished by using the polyhedral homotopy method to approximate all the isolated solutions of…

Mathematical Physics · Physics 2015-05-13 Tsung-Lin Lee , Manuele Santoprete

Reconstructing the 3D shape of an object from a set of images is a classical problem in Computer Vision. Photometric stereo is one of the possible approaches. It stands on the assumption that the object is observed from a fixed point of…

Numerical Analysis · Mathematics 2023-07-26 A. Concas , R. Dessì , C. Fenu , G. Rodriguez , M. Vanzi

Current monocular-based 6D object pose estimation methods generally achieve less competitive results than RGBD-based methods, mostly due to the lack of 3D information. To make up this gap, this paper proposes a 3D geometric volume based…

Computer Vision and Pattern Recognition · Computer Science 2021-09-28 Jun Wu , Lilu Liu , Yue Wang , Rong Xiong

Learning model-free object pose estimation for unseen instances remains a fundamental challenge in 3D vision. Existing methods typically fall into two disjoint paradigms: category-level approaches predict absolute poses in a canonical space…

Computer Vision and Pattern Recognition · Computer Science 2026-03-25 Weihang Li , Lorenzo Garattoni , Fabien Despinoy , Nassir Navab , Benjamin Busam

Blind Perspective-n-Point (PnP) is the problem of estimating the position and orientation of a camera relative to a scene, given 2D image points and 3D scene points, without prior knowledge of the 2D-3D correspondences. Solving for pose and…

Computer Vision and Pattern Recognition · Computer Science 2020-09-09 Dylan Campbell , Liu Liu , Stephen Gould

Autonomous robot manipulation involves estimating the translation and orientation of the object to be manipulated as a 6-degree-of-freedom (6D) pose. Methods using RGB-D data have shown great success in solving this problem. However, there…

Computer Vision and Pattern Recognition · Computer Science 2020-05-08 Gideon Billings , Matthew Johnson-Roberson

Calibration in a multi camera network has widely been studied for over several years starting from the earlier days of photogrammetry. Many authors have presented several calibration algorithms with their relative advantages and…

Computer Vision and Pattern Recognition · Computer Science 2010-11-03 Ayan Chaudhury , Abhishek Gupta , Sumita Manna , Subhadeep Mukherjee , Amlan Chakrabarti

We present an approach to solving hard geometric optimization problems in the RANSAC framework. The hard minimal problems arise from relaxing the original geometric optimization problem into a minimal problem with many spurious solutions.…

Computer Vision and Pattern Recognition · Computer Science 2021-12-08 Petr Hruby , Timothy Duff , Anton Leykin , Tomas Pajdla

Object pose estimation is a core perception task that enables, for example, object grasping and scene understanding. The widely available, inexpensive and high-resolution RGB sensors and CNNs that allow for fast inference based on this…

Camera calibration plays a critical role in various computer vision tasks such as autonomous driving or augmented reality. Widely used camera calibration tools utilize plane pattern based methodology, such as using a chessboard or AprilTag…

Computer Vision and Pattern Recognition · Computer Science 2021-11-02 Yuzhuo Ren , Feng Hu