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Nonlinear matrix equations arise in many practical contexts related to control theory, dynamical programming and finite element methods for solving some partial differential equations. In most of these applications, it is needed to compute…

Numerical Analysis · Mathematics 2014-10-22 Negin Bagherpour , Nezam Mahdavi-Amiri

Estimating relative camera poses between images has been a central problem in computer vision. Methods that find correspondences and solve for the fundamental matrix offer high precision in most cases. Conversely, methods predicting pose…

Computer Vision and Pattern Recognition · Computer Science 2024-03-06 Chris Rockwell , Nilesh Kulkarni , Linyi Jin , Jeong Joon Park , Justin Johnson , David F. Fouhey

Single-view RGB model-based object pose estimation methods achieve strong generalization but are fundamentally limited by depth ambiguity, clutter, and occlusions. Multi-view pose estimation methods have the potential to solve these issues,…

Computer Vision and Pattern Recognition · Computer Science 2026-05-22 Anna Šárová Mikeštíková , Médéric Fourmy , Martin Cífka , Josef Sivic , Vladimir Petrik

6-DoF object pose estimation from a monocular image is challenging, and a post-refinement procedure is generally needed for high-precision estimation. In this paper, we propose a framework based on a recurrent neural network (RNN) for…

Computer Vision and Pattern Recognition · Computer Science 2022-04-12 Yan Xu , Kwan-Yee Lin , Guofeng Zhang , Xiaogang Wang , Hongsheng Li

We address the task of 6D multi-object pose: given a set of known 3D objects and an RGB or RGB-D input image, we detect and estimate the 6D pose of each object. We propose a new approach to 6D object pose estimation which consists of an…

Computer Vision and Pattern Recognition · Computer Science 2022-04-28 Lahav Lipson , Zachary Teed , Ankit Goyal , Jia Deng

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

In this paper we consider a collection of relative pose problems which arise naturally in applications for visual indoor UAV navigation. We focus on cases where additional information from an onboard IMU is available and thus provides a…

Computer Vision and Pattern Recognition · Computer Science 2022-09-20 Marcus Valtonen Örnhag , Patrik Persson , Mårten Wadenbäck , Kalle Åström , Anders Heyden

Blind Perspective-n-Point (PnP) is the problem of estimating the position and orientation of a camera relative to a scene, given 2D image points and 3D scene points, without prior knowledge of the 2D-3D correspondences. Solving for pose and…

Computer Vision and Pattern Recognition · Computer Science 2020-09-09 Dylan Campbell , Liu Liu , Stephen Gould

Two solvers are proposed for estimating the extrinsic camera parameters from a single affine correspondence assuming general planar motion. In this case, the camera movement is constrained to a plane and the image plane is orthogonal to the…

Computer Vision and Pattern Recognition · Computer Science 2019-12-16 Levente Hajder , Daniel Barath

A new algorithm is presented for computing a direct solution to a system of consistent linear equations. It produces a minimum norm particular solution, a generalized inverse (of type {124}), and a null space projection operator. In…

Rings and Algebras · Mathematics 2013-04-30 Michael F. Zimmer

The perspective-$n$-point (P$n$P) problem is important for robotic pose estimation. It is well studied for optical cameras, but research is lacking for 2D forward-looking sonar (FLS) in underwater scenarios due to the vastly different…

Robotics · Computer Science 2025-04-11 Jiayi Su , Jingyu Qian , Liuqing Yang , Yufan Yuan , Yanbing Fu , Jie Wu , Yan Wei , Fengzhong Qu

Conventional absolute camera pose via a Perspective-n-Point (PnP) solver often assumes that the correspondences between 2D image pixels and 3D points are given. When the correspondences between 2D and 3D points are not known a priori, the…

Computer Vision and Pattern Recognition · Computer Science 2020-03-17 Liu Liu , Dylan Campbell , Hongdong Li , Dingfu Zhou , Xibin Song , Ruigang Yang

In this paper, we propose an efficient end-to-end algorithm to tackle the problem of estimating the 6D pose of objects from a single RGB image. Our system trains a fully convolutional network to regress the 3D rotation and the 3D…

Computer Vision and Pattern Recognition · Computer Science 2019-02-07 Jin Liu , Sheng He

Accurate 6-DoF object pose estimation and tracking are critical for reliable robotic manipulation. However, zero-shot methods often fail under viewpoint-induced ambiguities and fixed-camera setups struggle when objects move or become…

Robotics · Computer Science 2026-03-10 Sheng Liu , Zhe Li , Weiheng Wang , Han Sun , Heng Zhang , Hongpeng Chen , Yusen Qin , Arash Ajoudani , Yizhao Wang

Estimating camera geometry typically involves solving minimal problems formulated as systems of multivariate polynomial equations, which often pose computational challenges when using existing Gr\"obner-basis or resultant-based methods due…

Computer Vision and Pattern Recognition · Computer Science 2026-05-08 Haidong Wu , Snehal Bhayani , Janne Heikkilä

The choice of poses for camera calibration with planar patterns is only rarely considered - yet the calibration precision heavily depends on it. This work presents a pose selection method that finds a compact and robust set of calibration…

Computer Vision and Pattern Recognition · Computer Science 2019-07-15 Pavel Rojtberg , Arjan Kuijper

We completely classify all minimal problems for Structure-from-Motion (SfM) where arrangements of points and lines are fully observed by multiple uncalibrated pinhole cameras. We find 291 minimal problems, 73 of which have unique solutions…

Computer Vision and Pattern Recognition · Computer Science 2025-08-01 Kim Kiehn , Albin Ahlbäck , Kathlén Kohn

The Perspective-Three-Point Problem (P3P) is solved by first focusing on determining the directions of the lines through pairs of control points, relative to the camera, rather than the distances from the camera to the control points. The…

Computer Vision and Pattern Recognition · Computer Science 2025-02-12 Michael Q. Rieck

We introduce RoboPose, a method to estimate the joint angles and the 6D camera-to-robot pose of a known articulated robot from a single RGB image. This is an important problem to grant mobile and itinerant autonomous systems the ability to…

Computer Vision and Pattern Recognition · Computer Science 2021-04-20 Yann Labbé , Justin Carpentier , Mathieu Aubry , Josef Sivic

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
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