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Objects with symmetries are common in our daily life and in industrial contexts, but are often ignored in the recent literature on 6D pose estimation from images. In this paper, we study in an analytical way the link between the symmetries…

Computer Vision and Pattern Recognition · Computer Science 2019-08-22 Giorgia Pitteri , Michaël Ramamonjisoa , Slobodan Ilic , Vincent Lepetit

We provide a dynamical perspective on the classical problem of 3D point cloud registration with correspondences. A point cloud is considered as a rigid body consisting of particles. The problem of registering two point clouds is formulated…

Computer Vision and Pattern Recognition · Computer Science 2020-05-08 Heng Yang

Point set registration is a key component in many computer vision tasks. The goal of point set registration is to assign correspondences between two sets of points and to recover the transformation that maps one point set to the other.…

Computer Vision and Pattern Recognition · Computer Science 2010-11-09 Andriy Myronenko , Xubo Song

We present a novel formulation of the multiple object tracking problem which integrates low and mid-level features. In particular, we formulate the tracking problem as a quadratic program coupling detections and dense point trajectories.…

Computer Vision and Pattern Recognition · Computer Science 2016-07-26 Roberto Henschel , Laura Leal-Taixé , Bodo Rosenhahn , Konrad Schindler

Hand-eye calibration is the problem of estimating the spatial transformation between a reference frame, usually the base of a robot arm or its gripper, and the reference frame of one or multiple cameras. Generally, this calibration is…

Robotics · Computer Science 2023-07-31 Daniele Evangelista , Emilio Olivastri , Davide Allegro , Emanuele Menegatti , Alberto Pretto

Image stitching for two images without a global transformation between them is notoriously difficult. In this paper, noticing the importance of planar structure under perspective geometry, we propose a new image stitching method which…

Computer Vision and Pattern Recognition · Computer Science 2021-07-07 Aocheng Li , Jie Guo , Yanwen Guo

We present a novel approach for relocalization or place recognition, a fundamental problem to be solved in many robotics, automation, and AR applications. Rather than relying on often unstable appearance information, we consider a situation…

Robotics · Computer Science 2022-08-30 Lan Hu , Zhongwei Luo , Runze Yuan , Yuchen Cao , Jiaxin Wei , Kai Wangand Laurent Kneip

We solve the problem of best approximation by Parseval frames to an arbitrary frame in a subspace of an infinite dimensional Hilbert space. We explicitly describe all the solutions and we give a criterion for uniqueness. This best…

Functional Analysis · Mathematics 2017-11-27 Eduardo Chiumiento

Quadratic constrained quadratic programming problems often occur in various fields such as engineering practice, management science, and network communication. This article mainly studies a non convex quadratic programming problem with…

Optimization and Control · Mathematics 2023-12-29 Bo Zhang , YueLin Gao , Xia Liu , XiaoLi Huang

We consider a registration-based approach for localizing sensor networks from range measurements. This is based on the assumption that one can find overlapping cliques spanning the network. That is, for each sensor, one can identify…

Optimization and Control · Mathematics 2017-11-10 Rajat Sanyal , Monika Jaiswal , Kunal Narayan Chaudhury

The proposed system outlined in this paper is a solution to a use case that requires the autonomous picking of cuboidal objects from an organized or unorganized pile with high precision. This paper presents an efficient method for precise…

Computer Vision and Pattern Recognition · Computer Science 2025-05-09 Utsav Rai , Hardik Mehta , Vismay Vakharia , Aditya Choudhary , Amit Parmar , Rolif Lima , Kaushik Das

We consider the classical camera pose estimation problem that arises in many computer vision applications, in which we are given n 2D-3D correspondences between points in the scene and points in the camera image (some of which are incorrect…

Computational Geometry · Computer Science 2019-03-19 Dror Aiger , Haim Kaplan , Efi Kokiopoulou , Micha Sharir , Bernhard Zeisl

Despite the success of deep functional maps in non-rigid 3D shape matching, there exists no learning framework that models both self-symmetry and shape matching simultaneously. This is despite the fact that errors due to symmetry mismatch…

Computer Vision and Pattern Recognition · Computer Science 2022-04-20 Abhishek Sharma , Maks Ovsjanikov

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

In the classical best approximation pair (BAP) problem, one is given two nonempty, closed, convex and disjoint subsets in a finite- or an infinite-dimensional Hilbert space, and the goal is to find a pair of points, each from each subset,…

Optimization and Control · Mathematics 2025-09-09 Daniel Reem , Yair Censor

Motivation: Assessing the match between two biomolecular structures is at the heart of structural analyses such as superposition, alignment and docking. These tasks are typically solved with specialized structure-matching techniques…

Biomolecules · Quantitative Biology 2024-01-23 Michael Habeck , Andreas Kröpelin , Nima Vakili

We propose an end-to-end trainable, cross-category method for reconstructing multiple man-made articulated objects from a single RGBD image, focusing on part-level shape reconstruction and pose and kinematics estimation. We depart from…

Computer Vision and Pattern Recognition · Computer Science 2025-04-07 Yuki Kawana , Tatsuya Harada

Manipulating articulated objects with robotic arms is challenging due to the complex kinematic structure, which requires precise part segmentation for efficient manipulation. In this work, we introduce a novel superpoint-based perception…

Computer Vision and Pattern Recognition · Computer Science 2024-12-24 Qiaojun Yu , Ce Hao , Xibin Yuan , Li Zhang , Liu Liu , Yukang Huo , Rohit Agarwal , Cewu Lu

Point cloud registration methods can effectively handle large-scale, partially overlapping point cloud pairs. Despite its practicality, matching the unbalanced pairs in terms of spatial extent and density has been overlooked and rarely…

Computer Vision and Pattern Recognition · Computer Science 2022-10-18 Kanghee Lee , Junha Lee , Jaesik Park

We present a novel, effective method for global point cloud registration problems by geometric topology. Based on many point cloud pairwise registration methods (e.g ICP), we focus on the problem of accumulated error for the composition of…

Computer Vision and Pattern Recognition · Computer Science 2022-08-16 Yuxue Ren , Baowei Jiang , Wei Chen , Na Lei , Xianfeng David Gu