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We present a novel approach for 3D human pose estimation by employing probabilistic modeling. This approach leverages the advantages of normalizing flows in non-Euclidean geometries to address uncertain poses. Specifically, our method…

Computer Vision and Pattern Recognition · Computer Science 2024-12-09 Karthik Shetty , Annette Birkhold , Bernhard Egger , Srikrishna Jaganathan , Norbert Strobel , Markus Kowarschik , Andreas Maier

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 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

We give a new algorithmic solution to the well-known five-point relative pose problem. Our approach does not deal with the famous cubic constraint on an essential matrix. Instead, we use the Cayley representation of rotations in order to…

Computer Vision and Pattern Recognition · Computer Science 2015-03-19 Evgeniy Martyushev

In this paper, we introduce a novel RGB-D based relative pose estimation approach that is suitable for small-overlapping or non-overlapping scans and can output multiple relative poses. Our method performs scene completion and matches the…

Computer Vision and Pattern Recognition · Computer Science 2020-04-07 Zhenpei Yang , Siming Yan , Qixing Huang

The classical $\textit{Procrustes}$ problem is to find a rigid motion (orthogonal transformation and translation) that best aligns two given point-sets in the least-squares sense. The $\textit{Robust Procrustes}$ problem is an important…

Machine Learning · Computer Science 2022-07-19 Tal Amir , Shahar Kovalsky , Nadav Dym

We present a novel method to infer, in closed-form, a general 3D spatial occupancy and orientation of a collection of rigid objects given 2D image detections from a sequence of images. In particular, starting from 2D ellipses fitted to…

Computer Vision and Pattern Recognition · Computer Science 2015-07-21 Cosimo Rubino , Marco Crocco , Alessandro Perina , Vittorio Murino , Alessio Del Bue

In this paper, we study closed-form optimal solutions to two-view triangulation with known internal calibration and pose. By formulating the triangulation problem as $L_1$ and $L_\infty$ minimization of angular reprojection errors, we…

Computer Vision and Pattern Recognition · Computer Science 2019-07-30 Seong Hun Lee , Javier Civera

We show the closed-form solution to the maximization of trace(A'R), where A is given and R is unknown rotation matrix. This problem occurs in many computer vision tasks involving optimal rotation matrix estimation. The solution has been…

Computer Vision and Pattern Recognition · Computer Science 2009-04-13 Andriy Myronenko , Xubo Song

In this work we present a unified method of relative camera pose estimation from points and lines correspondences. Given a set of 2D points and lines correspondences in three views, of which two are known, a method has been developed for…

Robotics · Computer Science 2017-10-19 Ashraf Qadir , Jeremiah Neubert

In this work, we aim to improve the 3D reasoning ability of Transformers in multi-view 3D human pose estimation. Recent works have focused on end-to-end learning-based transformer designs, which struggle to resolve geometric information…

Computer Vision and Pattern Recognition · Computer Science 2023-11-21 Ziwei Liao , Jialiang Zhu , Chunyu Wang , Han Hu , Steven L. Waslander

Estimating the head pose of a person is a crucial problem for numerous applications that is yet mainly addressed as a subtask of frontal pose prediction. We present a novel method for unconstrained end-to-end head pose estimation to tackle…

Computer Vision and Pattern Recognition · Computer Science 2023-09-15 Thorsten Hempel , Ahmed A. Abdelrahman , Ayoub Al-Hamadi

The dominant paradigm in 3D human pose estimation that lifts a 2D pose sequence to 3D heavily relies on long-term temporal clues (i.e., using a daunting number of video frames) for improved accuracy, which incurs performance saturation,…

Computer Vision and Pattern Recognition · Computer Science 2023-11-10 Qitao Zhao , Ce Zheng , Mengyuan Liu , Chen Chen

The Sylvester smallest enclosing circle problem involves finding the smallest circle that encloses a finite number of points in the plane. We consider generalized versions of the Sylvester problem in which the points are replaced by sets.…

Optimization and Control · Mathematics 2015-03-18 Nguyen Thai An , Daniel Giles , Nguyen Mau Nam , R. Blake Rector

Object shape and pose estimation is a foundational robotics problem, supporting tasks from manipulation to scene understanding and navigation. We present a fast local solver for shape and pose estimation which requires only category-level…

Robotics · Computer Science 2026-03-05 Lorenzo Shaikewitz , Tim Nguyen , Luca Carlone

The point correspondence (PC) and affine correspondence (AC) are widely used for relative pose estimation. An AC consists of a PC across two views and an affine transformation between the small patches around this PC. Previous work…

Computer Vision and Pattern Recognition · Computer Science 2021-02-25 Ji Zhao , Banglei Guan

We solve the problem of determining the pose of known shapes in $\mathbb{R}^3$ from their unoccluded silhouettes. The pose is determined up to global optimality using a simple yet under-explored property of the area-of-silhouette: its…

Computer Vision and Pattern Recognition · Computer Science 2026-04-13 Agniva Sengupta , Dilara Kuş , Jianning Li , Stefan Zachow

While the voxel-based methods have achieved promising results for multi-person 3D pose estimation from multi-cameras, they suffer from heavy computation burdens, especially for large scenes. We present Faster VoxelPose to address the…

Computer Vision and Pattern Recognition · Computer Science 2022-07-25 Hang Ye , Wentao Zhu , Chunyu Wang , Rujie Wu , Yizhou Wang

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

This work presents two novel solvers for estimating the relative poses among views with known vertical directions. The vertical directions of camera views can be easily obtained using inertial measurement units (IMUs) which have been widely…

Computer Vision and Pattern Recognition · Computer Science 2025-12-23 Tao Li , Zhenbao Yu , Banglei Guan , Jianli Han , Weimin Lv , Friedrich Fraundorfer