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We consider the following problem about dispersing points. Given a set of points in the plane, the task is to identify whether by moving a small number of points by small distance, we can obtain an arrangement of points such that no pair of…

Computational Geometry · Computer Science 2023-08-15 Fedor V. Fomin , Petr A. Golovach , Tanmay Inamdar , Saket Saurabh , Meirav Zehavi

Erroneous feature matches have severe impact on subsequent camera pose estimation and often require additional, time-costly measures, like RANSAC, for outlier rejection. Our method tackles this challenge by addressing feature matching and…

Computer Vision and Pattern Recognition · Computer Science 2023-09-12 Barbara Roessle , Matthias Nießner

The present work proposes a solution to the challenging problem of registering two partial point sets of the same object with very limited overlap. We leverage the fact that most objects found in man-made environments contain a plane of…

Computational Geometry · Computer Science 2020-02-20 Lan Hu , Haomin Shi , Laurent Kneip

Reconstructing the 3D shape of an object using several images under different light sources is a very challenging task, especially when realistic assumptions such as light propagation and attenuation, perspective viewing geometry and…

Computer Vision and Pattern Recognition · Computer Science 2022-10-11 Fotios Logothetis , Roberto Mecca , Ignas Budvytis , Roberto Cipolla

Image-to-point cloud registration aims to determine the relative camera pose between an RGB image and a reference point cloud, serving as a general solution for locating 3D objects from 2D observations. Matching individual points with…

Computer Vision and Pattern Recognition · Computer Science 2024-01-19 Gongxin Yao , Yixin Xuan , Yiwei Chen , Yu Pan

We present a novel approach for RANSAC-based computation of the fundamental matrix based on epipolar homography decomposition. We analyze the geometrical meaning of the decomposition-based representation and show that it directly induces a…

Computer Vision and Pattern Recognition · Computer Science 2020-10-01 Gil Ben-Artzi

Close-up facial images captured at short distances often suffer from perspective distortion, resulting in exaggerated facial features and unnatural/unattractive appearances. We propose a simple yet effective method for correcting…

Computer Vision and Pattern Recognition · Computer Science 2023-12-11 Zhixiang Wang , Yu-Lun Liu , Jia-Bin Huang , Shin'ichi Satoh , Sizhuo Ma , Gurunandan Krishnan , Jian Wang

We propose an approach for estimating the relative pose between calibrated image pairs by jointly exploiting points, lines, and their coincidences in a hybrid manner. We investigate all possible configurations where these data modalities…

Computer Vision and Pattern Recognition · Computer Science 2023-09-29 Petr Hruby , Shaohui Liu , Rémi Pautrat , Marc Pollefeys , Daniel Barath

Object pose recovery has gained increasing attention in the computer vision field as it has become an important problem in rapidly evolving technological areas related to autonomous driving, robotics, and augmented reality. Existing…

Computer Vision and Pattern Recognition · Computer Science 2020-04-22 Caner Sahin , Guillermo Garcia-Hernando , Juil Sock , Tae-Kyun Kim

In this paper, we consider the problem of determining in polynomial time whether a given planar point set $P$ of $n$ points admits 4-connected triangulation. We propose a necessary and sufficient condition for recognizing $P$, and present…

Computational Geometry · Computer Science 2013-10-08 Ajit Arvind Diwan , Subir Kumar Ghosh , Bodhayan Roy

The $\mathrm{SE}(3)$ invariants of a pose include its rotation angle and screw translation. In this paper, we present a complete comprehensive study of the relative pose estimation problem for a calibrated camera constrained by known…

Robotics · Computer Science 2020-07-16 Bo Li , Evgeniy Martyushev , Gim Hee Lee

We present a joint 3D pose and focal length estimation approach for object categories in the wild. In contrast to previous methods that predict 3D poses independently of the focal length or assume a constant focal length, we explicitly…

Computer Vision and Pattern Recognition · Computer Science 2019-08-09 Alexander Grabner , Peter M. Roth , Vincent Lepetit

In this paper we introduce EfficientPose, a new approach for 6D object pose estimation. Our method is highly accurate, efficient and scalable over a wide range of computational resources. Moreover, it can detect the 2D bounding box of…

Computer Vision and Pattern Recognition · Computer Science 2020-11-19 Yannick Bukschat , Marcus Vetter

Estimating the relative camera pose from $n \geq 5$ correspondences between two calibrated views is a fundamental task in computer vision. This process typically involves two stages: 1) estimating the essential matrix between the views, and…

Computer Vision and Pattern Recognition · Computer Science 2024-03-29 Javier Tirado-Garín , Javier Civera

Multi-camera systems offer rich observation capabilities for visual navigation and 3D scene reconstruction; however, the resulting feature redundancy often compromises computational efficiency. This challenge is particularly pronounced…

Computer Vision and Pattern Recognition · Computer Science 2026-04-28 Shunkun Liang , Banglei Guan , Bin Li , Qifeng Yu , Yang Shang

We propose an algorithm to detect approximate reflection symmetry present in a set of volumetrically distributed points belonging to $\mathbb{R}^d$ containing a distorted reflection symmetry pattern. We pose the problem of detecting…

Computer Vision and Pattern Recognition · Computer Science 2019-01-16 Rajendra Nagar , Shanmuganathan Raman

In this paper, we address the inverse problem of reconstructing a scene as well as the camera motion from the image sequence taken by an omni-directional camera. Our structure from motion results give sharp conditions under which the…

Computer Vision and Pattern Recognition · Computer Science 2007-08-21 Oliver Knill , Jose Ramirez-Herran

We study the \emph{Proximal Alternating Predictor-Corrector} (PAPC) algorithm introduced recently by Drori, Sabach and Teboulle to solve nonsmooth structured convex-concave saddle point problems consisting of the sum of a smooth convex…

Optimization and Control · Mathematics 2018-09-24 D. Russell Luke , Ron Shefi

Matching two images while estimating their relative geometry is a key step in many computer vision applications. For decades, a well-established pipeline, consisting of SIFT, RANSAC, and 8-point algorithm, has been used for this task.…

Computer Vision and Pattern Recognition · Computer Science 2019-09-13 Jia-Wang Bian , Yu-Huan Wu , Ji Zhao , Yun Liu , Le Zhang , Ming-Ming Cheng , Ian Reid

The research interest on location-based services has increased during the last years ever since 3D centimetre accuracy inside intelligent environments could be confronted with. This work proposes an indoor local positioning system based on…

Signal Processing · Electrical Eng. & Systems 2024-02-07 Elena Aparicio-Esteve , Jesús Ureña , Álvaro Hernández , Daniel Pizarro , David Moltó