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This paper studies the problem of identifying directions of axial symmetry in multivariate distributions. Theoretical results are derived on how the measure or cardinality of the set of symmetry directions relates to spherical symmetry. The…

Statistics Theory · Mathematics 2025-12-29 Alejandro Cholaquidis , Ricardo Fraiman , Manuel Hernández-Banadik , Stanislav Nagy

An approach is proposed for recovering affine correspondences (ACs) from orientation- and scale-invariant, e.g. SIFT, features. The method calculates the affine parameters consistent with a pre-estimated epipolar geometry from the point…

Computer Vision and Pattern Recognition · Computer Science 2018-07-11 Daniel Barath

Rotated object detection aims to identify and locate objects in images with arbitrary orientation. In this scenario, the oriented directions of objects vary considerably across different images, while multiple orientations of objects exist…

Computer Vision and Pattern Recognition · Computer Science 2023-09-22 Yifan Pu , Yiru Wang , Zhuofan Xia , Yizeng Han , Yulin Wang , Weihao Gan , Zidong Wang , Shiji Song , Gao Huang

Most realtime human pose estimation approaches are based on detecting joint positions. Using the detected joint positions, the yaw and pitch of the limbs can be computed. However, the roll along the limb, which is critical for application…

Computer Vision and Pattern Recognition · Computer Science 2021-12-17 Martin Fisch , Ronald Clark

We present a novel solution to the camera pose estimation problem, where rotation and translation of a camera between two views are estimated from matched feature points in the images. The camera pose estimation problem is traditionally…

Computer Vision and Pattern Recognition · Computer Science 2018-07-31 Kaveh Fathian , J. Pablo Ramirez-Paredes , Emily A. Doucette , J. Willard Curtis , Nicholas R. Gans

We present an algorithm to estimate the rotation pole of a principal-axis rotator using silhouette images collected from multiple camera poses. First, a set of images is stacked to form a single silhouette-stack image, where the object's…

Computer Vision and Pattern Recognition · Computer Science 2025-02-06 Jacopo Villa , Jay W. McMahon , Issa A. D. Nesnas

A new algorithm is proposed to accelerate RANSAC model quality calculations. The method is based on partitioning the joint correspondence space, e.g., 2D-2D point correspondences, into a pair of regular grids. The grid cells are mapped by…

Computer Vision and Pattern Recognition · Computer Science 2022-07-21 Daniel Barath , Gabor Valasek

The MARS scanner is designed for the x-ray spectroscopic study of samples with the aid of computer tomography methods. Computer tomography allows the reconstruction of slices of an investigated sample using a set of shadow projections…

We present a fast and accurate solution to the perspective $n$-points problem, by way of a new approach to the n=4 case. Our solution hinges on a novel separation of variables: given four 3D points and four corresponding 2D points on the…

Algebraic Geometry · Mathematics 2026-02-24 David Lehavi , Brian Osserman

This paper presents a robust roll angle estimation algorithm, which is developed from our previously published work, where the roll angle was estimated from a dense disparity map by minimizing a global energy using golden section search…

Robotics · Computer Science 2019-06-06 Rui Fan , Lujia Wang , Ming Liu , Ioannis Pitas

Object detection is a main task in computer vision. Template matching is the reference method for detecting objects with arbitrary templates. However, template matching computational complexity depends on the rotation accuracy, being a…

Computer Vision and Pattern Recognition · Computer Science 2024-11-07 Antonio Martinez-Sanchez , Ulrike Homberg , José María Almira , Harold Phelippeau

Accurate 6D object pose estimation is fundamental to robotic manipulation and grasping. Previous methods follow a local optimization approach which minimizes the distance between closest point pairs to handle the rotation ambiguity of…

Computer Vision and Pattern Recognition · Computer Science 2020-03-10 Meng Tian , Liang Pan , Marcelo H Ang , Gim Hee Lee

In this paper we propose a generic algorithm to calculate the rotation parameters of CORDIC angles required for the Discrete Cosine Transform algorithm (DCT). This leads us to increase the precision of calculation meeting any accuracy.Our…

Multimedia · Computer Science 2016-06-09 Imen Ben Saad , Younes Lahbib , Yassine Hachaïchi , Sonia Mami , Abdelkader Mami

We consider imaging of fast moving small objects in space, such as low earth orbit satellites, which are also rotating around a fixed axis. The imaging system consists of ground based, asynchronous sources of radiation and several passive…

Signal Processing · Electrical Eng. & Systems 2021-11-03 Matan Leibovich , George Papanicolaou , Chrysoula Tsogka

Tracking on the rotation group is a key component of many modern systems for estimation of the motion of rigid bodies. To address this problem, here we describe a Bayesian algorithm that relies on directional measurements for tracking on…

Signal Processing · Electrical Eng. & Systems 2020-03-26 Sofia Suvorova , Stephen D. Howard , Bill Moran

For several decades, RANSAC has been one of the most commonly used robust estimation algorithms for many problems in computer vision and related fields. The main contribution of this paper lies in addressing a long-standing error baked into…

Computer Vision and Pattern Recognition · Computer Science 2025-03-12 Johannes Schönberger , Viktor Larsson , Marc Pollefeys

Oriented object detection is a crucial task in computer vision. Current top-down oriented detection methods usually directly detect entire objects, and not only neglecting the authentic direction of targets, but also do not fully utilise…

Computer Vision and Pattern Recognition · Computer Science 2022-02-15 Beihang Song , Jing Li , Shan Xue , Jun Chang , Jia Wu , Jun Wan , Tianpeng Liu

In tomographic reconstruction, the goal is to reconstruct an unknown object from a collection of line integrals. Given a complete sampling of such line integrals for various angles and directions, explicit inverse formulas exist to…

Numerical Analysis · Mathematics 2018-01-18 Tristan van Leeuwen , Simon Maretzke , K. Joost Batenburg

Orientation estimation is a fundamental task in 3D shape analysis which consists of estimating a shape's orientation axes: its side-, up-, and front-axes. Using this data, one can rotate a shape into canonical orientation, where its…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Christopher Scarvelis , David Benhaim , Paul Zhang

Estimating the homography matrix between images captured under radically different camera poses and zoom factors is a complex challenge. Traditional methods rely on the Random Sample Consensus (RANSAC) algorithm, which requires pairs of…

Computer Vision and Pattern Recognition · Computer Science 2025-11-11 George Nousias , Konstantinos Delibasis , Ilias Maglogiannis