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Full 3D estimation of human pose from a single image remains a challenging task despite many recent advances. In this paper, we explore the hypothesis that strong prior information about scene geometry can be used to improve pose estimation…

Computer Vision and Pattern Recognition · Computer Science 2021-12-10 Zhe Wang , Liyan Chen , Shaurya Rathore , Daeyun Shin , Charless Fowlkes

In this paper, we propose a novel approach for recovering focal lengths from three-view homographies. By examining the consistency of normal vectors between two homographies, we derive new explicit constraints between the focal lengths and…

Computer Vision and Pattern Recognition · Computer Science 2025-11-07 Yaqing Ding , Viktor Kocur , Zuzana Berger Haladová , Qianliang Wu , Shen Cai , Jian Yang , Zuzana Kukelova

The p-median problem is a classic discrete location problem with several applications. It aims to open p sites while minimizing the sum of the distances of each client to its nearest open site. We study a Benders decomposition of the most…

Optimization and Control · Mathematics 2021-12-10 Cristian Durán Mateluna , Zacharie Alès , Sourour Elloumi

For the equations $y''=P(x,y) + 3Q(x,y)y' + 3R(x,y){y'}^2 + S(x,y){y'}^3$ the problem of equivalence is considered. Some classical results are resumed in order to prepare the background for the study of special subclass of such equations,…

solv-int · Physics 2008-02-03 R. A. Sharipov

This paper is devoted to spherical measures and point configurations optimizing three-point energies. Our main goal is to extend the classic optimization problems based on pairs of distances between points to the context of three-point…

Classical Analysis and ODEs · Mathematics 2023-03-23 Dmitriy Bilyk , Damir Ferizović , Alexey Glazyrin , Ryan Matzke , Josiah Park , Oleksandr Vlasiuk

Extracting planes from a 3D scene is useful for downstream tasks in robotics and augmented reality. In this paper we tackle the problem of estimating the planar surfaces in a scene from posed images. Our first finding is that a surprisingly…

Computer Vision and Pattern Recognition · Computer Science 2024-06-14 Jamie Watson , Filippo Aleotti , Mohamed Sayed , Zawar Qureshi , Oisin Mac Aodha , Gabriel Brostow , Michael Firman , Sara Vicente

We present an approach for estimating the pose of an external camera with respect to a robot using a single RGB image of the robot. The image is processed by a deep neural network to detect 2D projections of keypoints (such as joints)…

The goal of this paper is to estimate the viewpoint for a novel object. Standard viewpoint estimation approaches generally fail on this task due to their reliance on a 3D model for alignment or large amounts of class-specific training data…

Computer Vision and Pattern Recognition · Computer Science 2020-06-08 Mohamed El Banani , Jason J. Corso , David F. Fouhey

Existing approaches for multi-view multi-person 3D pose estimation explicitly establish cross-view correspondences to group 2D pose detections from multiple camera views and solve for the 3D pose estimation for each person. Establishing…

Computer Vision and Pattern Recognition · Computer Science 2021-04-07 Jiahao Lin , Gim Hee Lee

Current methods for dense 3D point tracking in dynamic scenes typically rely on pairwise processing, require known camera poses, or assume temporal ordering of input frames, thereby constraining their flexibility and applicability.…

Computer Vision and Pattern Recognition · Computer Science 2026-04-06 Vivek Alumootil , Tuan-Anh Vu

Depth estimation is an essential component in understanding the 3D geometry of a scene, with numerous applications in urban and indoor settings. These scenes are characterized by a prevalence of human made structures, which in most of the…

Computer Vision and Pattern Recognition · Computer Science 2020-09-03 Mattia Rossi , Mireille El Gheche , Andreas Kuhn , Pascal Frossard

With the development of 3D sensing technologies, point clouds have attracted increasing attention in a variety of applications for 3D object representation, such as autonomous driving, 3D immersive tele-presence and heritage reconstruction.…

Computer Vision and Pattern Recognition · Computer Science 2019-01-01 Junkun Qi , Wei Hu , Zongming Guo

We propose a new algorithm to the problem of polygonal curve approximation based on a multiresolution approach. This algorithm is suboptimal but still maintains some optimality between successive levels of resolution using dynamic…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Pierre-François Marteau , Gilbas Ménier

We present PAD3R, a method for reconstructing deformable 3D objects from casually captured, unposed monocular videos. Unlike existing approaches, PAD3R handles long video sequences featuring substantial object deformation, large-scale…

Computer Vision and Pattern Recognition · Computer Science 2025-09-30 Ting-Hsuan Liao , Haowen Liu , Yiran Xu , Songwei Ge , Gengshan Yang , Jia-Bin Huang

When using a Groebner basis to solve the highly symmetric system of algebraic equations defining the cyclic p-roots, one has the feeling that much of the advantage of computerized symbolic algebra over hand calculation is lost through the…

Commutative Algebra · Mathematics 2008-03-18 Goran Bjorck , Uffe Haagerup

This work focuses on Registration or Alignment of 3D point sets. Although the Registration problem is a well established problem and it's solved using multiple variants of Iterative Closest Point (ICP) Algorithm, most of the approaches in…

Computer Vision and Pattern Recognition · Computer Science 2021-07-22 Ashutosh Singandhupe , Hung La , Trung Dung Ngo , Van Ho

With the help of the deep learning paradigm, many point cloud networks have been invented for visual analysis. However, there is great potential for development of these networks since the given information of point cloud data has not been…

Computer Vision and Pattern Recognition · Computer Science 2021-12-20 Shi Qiu , Saeed Anwar , Nick Barnes

We propose a unified formulation for the problem of 3D human pose estimation from a single raw RGB image that reasons jointly about 2D joint estimation and 3D pose reconstruction to improve both tasks. We take an integrated approach that…

Computer Vision and Pattern Recognition · Computer Science 2017-11-27 Denis Tome , Chris Russell , Lourdes Agapito

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…

Computer Vision and Pattern Recognition · Computer Science 2023-12-11 Bruno Lecouat , Yann Dubois de Mont-Marin , Théo Bodrito , Julien Mairal , Jean Ponce

Relative pose estimation using point correspondences (PC) is a widely used technique. A minimal configuration of six PCs is required for two views of generalized cameras. In this paper, we present several minimal solvers that use six PCs to…

Computer Vision and Pattern Recognition · Computer Science 2024-11-14 Banglei Guan , Ji Zhao , Laurent Kneip