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This paper addresses the problem of homography estimation using a nonlinear observer designed on the Lie group $\mathbf{SL}(3)$ that exploits the full image information through direct image registration. Unlike traditional feature-based…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Tarek Bouazza , Pieter van Goor , Robert Mahony , Tarek Hamel

Image matching is a fundamental problem in Computer Vision with direct applications in robotics, remote sensing, and geospatial data analysis. We present an analytical and experimental evaluation of classical local feature-based image…

Computer Vision and Pattern Recognition · Computer Science 2026-04-10 Oleh Samoilenko

We study the problem of learning to assign a characteristic pose, i.e., scale and orientation, for an image region of interest. Despite its apparent simplicity, the problem is non-trivial; it is hard to obtain a large-scale set of image…

Computer Vision and Pattern Recognition · Computer Science 2022-06-16 Jongmin Lee , Yoonwoo Jeong , Minsu Cho

In this paper we address the problem of matching two images with two different resolutions: a high-resolution image and a low-resolution one. The difference in resolution between the two images is not known and without loss of generality…

Computer Vision and Pattern Recognition · Computer Science 2023-11-21 Yves Dufournaud , Cordelia Schmid , Radu Horaud

A large driver of the complexity of graph learning is the interplay between structure and features. When analyzing the expressivity of graph neural networks, however, existing approaches ignore features in favor of structure, making it…

Machine Learning · Computer Science 2026-03-04 Martin Carrasco , Olga Zaghen , Kavir Sumaraj , Erik Bekkers , Bastian Rieck

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

Usual Structure-from-Motion (SfM) techniques require at least trifocal overlaps to calibrate cameras and reconstruct a scene. We consider here scenarios of reduced image sets with little overlap, possibly as low as two images at most seeing…

Computer Vision and Pattern Recognition · Computer Science 2017-03-29 Yohann Salaun , Renaud Marlet , Pascal Monasse

This paper concerns models and convergence principles for dealing with stochasticity in a wide range of algorithms arising in nonlinear analysis and optimization in Hilbert spaces. It proposes a flexible geometric framework within which…

Optimization and Control · Mathematics 2026-02-17 Patrick L. Combettes , Javier I. Madariaga

Homology-based invariants can be used to characterize the geometry of datasets and thereby gain some understanding of the processes generating those datasets. In this work we investigate how the geometry of a dataset changes when it is…

Algebraic Topology · Mathematics 2022-03-17 Jens Agerberg , Wojciech Chacholski , Ryan Ramanujam

The most popular image matching algorithm SIFT, introduced by D. Lowe a decade ago, has proven to be sufficiently scale invariant to be used in numerous applications. In practice, however, scale invariance may be weakened by various sources…

Computer Vision and Pattern Recognition · Computer Science 2015-11-30 Ives Rey-Otero , Jean-Michel Morel , Mauricio Delbracio

The use of local detectors and descriptors in typical computer vision pipelines work well until variations in viewpoint and appearance change become extreme. Past research in this area has typically focused on one of two approaches to this…

Computer Vision and Pattern Recognition · Computer Science 2022-03-25 Udit Singh Parihar , Aniket Gujarathi , Kinal Mehta , Satyajit Tourani , Sourav Garg , Michael Milford , K. Madhava Krishna

Homography estimation between multiple aerial images can provide relative pose estimation for collaborative autonomous exploration and monitoring. The usage on a robotic system requires a fast and robust homography estimation algorithm. In…

Computer Vision and Pattern Recognition · Computer Science 2018-02-22 Ty Nguyen , Steven W. Chen , Shreyas S. Shivakumar , Camillo J. Taylor , Vijay Kumar

In this paper, we introduce a novel approach to fine-grained cross-view geo-localization. Our method aligns a warped ground image with a corresponding GPS-tagged satellite image covering the same area using homography estimation. We first…

Computer Vision and Pattern Recognition · Computer Science 2023-09-01 Xiaolong Wang , Runsen Xu , Zuofan Cui , Zeyu Wan , Yu Zhang

We present a robust estimator for fitting multiple parametric models of the same form to noisy measurements. Applications include finding multiple vanishing points in man-made scenes, fitting planes to architectural imagery, or estimating…

Computer Vision and Pattern Recognition · Computer Science 2020-03-26 Florian Kluger , Eric Brachmann , Hanno Ackermann , Carsten Rother , Michael Ying Yang , Bodo Rosenhahn

Homography estimation is often an indispensable step in many computer vision tasks. The existing approaches, however, are not robust to illumination and/or larger viewpoint changes. In this paper, we propose bidirectional implicit…

Computer Vision and Pattern Recognition · Computer Science 2021-04-21 Daniel Koguciuk , Elahe Arani , Bahram Zonooz

Predicting the pose of objects from a single image is an important but difficult computer vision problem. Methods that predict a single point estimate do not predict the pose of objects with symmetries well and cannot represent uncertainty.…

Computer Vision and Pattern Recognition · Computer Science 2023-02-28 David M. Klee , Ondrej Biza , Robert Platt , Robin Walters

Line features are valid complements for point features in man-made environments. 3D-2D constraints provided by line features have been widely used in Visual Odometry (VO) and Structure-from-Motion (SfM) systems. However, how to accurately…

Robotics · Computer Science 2025-01-14 Zewen Xu , Yijia He , Hao Wei , Bo Xu , BinJian Xie , Yihong Wu

In this paper, we address the problem of estimating scale factors between images. We formulate the scale estimation problem as a prediction of a probability distribution over scale factors. We design a new architecture, ScaleNet, that…

Computer Vision and Pattern Recognition · Computer Science 2022-07-06 Axel Barroso-Laguna , Yurun Tian , Krystian Mikolajczyk

This paper proposes a RANSAC-based algorithm for determining the axial rotation angle of an object from a pair of its tomographic projections. An equation is derived for calculating the rotation angle using one correct keypoints…

Computer Vision and Pattern Recognition · Computer Science 2019-10-07 Mikhail O. Chekanov , Oleg S. Shipitko , Egor I. Ershov

We present a novel feature matching algorithm that systematically utilizes the geometric properties of features such as position, scale, and orientation, in addition to the conventional descriptor vectors. In challenging scenes with the…

Computer Vision and Pattern Recognition · Computer Science 2017-01-23 Sehyung Lee , Jongwoo Lim , Il Hong Suh