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Perspective-n-Point-and-Line (P$n$PL) algorithms aim at fast, accurate, and robust camera localization with respect to a 3D model from 2D-3D feature correspondences, being a major part of modern robotic and AR/VR systems. Current…

Computer Vision and Pattern Recognition · Computer Science 2021-07-09 Alexander Vakhitov , Luis Ferraz Colomina , Antonio Agudo , Francesc Moreno-Noguer

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

This work is concerned with camera pose estimation from correspondences of 3D/2D lines, i. e. with the Perspective-n-Line (PnL) problem. We focus on large line sets, which can be efficiently solved by methods using linear formulation of…

Computer Vision and Pattern Recognition · Computer Science 2017-05-16 Bronislav Přibyl , Pavel Zemčík , Martin Čadík

We consider the robust Perspective-n-Point (PnP) problem using a hybrid approach that combines deep learning with model based algorithms. PnP is the problem of estimating the pose of a calibrated camera given a set of 3D points in the world…

Computer Vision and Pattern Recognition · Computer Science 2020-03-11 Roy Sheffer , Ami Wiesel

Locating 3D objects from a single RGB image via Perspective-n-Point (PnP) is a long-standing problem in computer vision. Driven by end-to-end deep learning, recent studies suggest interpreting PnP as a differentiable layer, allowing for…

Computer Vision and Pattern Recognition · Computer Science 2023-12-19 Hansheng Chen , Wei Tian , Pichao Wang , Fan Wang , Lu Xiong , Hao Li

Estimating 3D human poses from 2D images is challenging due to occlusions and projective acquisition. Learning-based approaches have been largely studied to address this challenge, both in single and multi-view setups. These solutions…

Computer Vision and Pattern Recognition · Computer Science 2024-08-21 Seyed Abolfazl Ghasemzadeh , Alexandre Alahi , Christophe De Vleeschouwer

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

Locating 3D objects from a single RGB image via Perspective-n-Points (PnP) is a long-standing problem in computer vision. Driven by end-to-end deep learning, recent studies suggest interpreting PnP as a differentiable layer, so that 2D-3D…

Computer Vision and Pattern Recognition · Computer Science 2022-08-12 Hansheng Chen , Pichao Wang , Fan Wang , Wei Tian , Lu Xiong , Hao Li

The Perspective-n-Point (PnP) problem has been widely studied in both computer vision and photogrammetry societies. With the development of feature extraction techniques, a large number of feature points might be available in a single shot.…

Computer Vision and Pattern Recognition · Computer Science 2024-11-07 Guangyang Zeng , Shiyu Chen , Biqiang Mu , Guodong Shi , Junfeng Wu

Perspective-$n$-Point (P$n$P) stands as a fundamental algorithm for pose estimation in various applications. In this paper, we present a new approach to the P$n$P problem with relaxed constraints, eliminating the need for precise 3D…

Computer Vision and Pattern Recognition · Computer Science 2024-07-29 Jiaxin Wei , Stefan Leutenegger , Laurent Kneip

We investigate the problem of estimating the 3D shape of an object defined by a set of 3D landmarks, given their 2D correspondences in a single image. A successful approach to alleviating the reconstruction ambiguity is the 3D deformable…

Computer Vision and Pattern Recognition · Computer Science 2017-01-12 Xiaowei Zhou , Menglong Zhu , Spyridon Leonardos , Kostas Daniilidis

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

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

In this paper, we introduce and study the Parallel Polyhedral Projection Method (3PM) and the Approximate Parallel Polyhedral Projection Method (A3PM) for finding a point in the intersection of finitely many closed convex sets. Each…

Optimization and Control · Mathematics 2025-06-27 Pablo Barros , Roger Behling , Vincent Guigues

In this paper, a statistically optimal solution to the Perspective-n-Point (PnP) problem is presented. Many solutions to the PnP problem are geometrically optimal, but do not consider the uncertainties of the observations. In addition, it…

Computer Vision and Pattern Recognition · Computer Science 2016-07-28 Steffen Urban , Jens Leitloff , Stefan Hinz

We investigate the problem of estimating the 3D shape of an object, given a set of 2D landmarks in a single image. To alleviate the reconstruction ambiguity, a widely-used approach is to confine the unknown 3D shape within a shape space…

Computer Vision and Pattern Recognition · Computer Science 2015-06-03 Xiaowei Zhou , Spyridon Leonardos , Xiaoyan Hu , Kostas Daniilidis

We present a lightweight solution to recover 3D pose from multi-view images captured with spatially calibrated cameras. Building upon recent advances in interpretable representation learning, we exploit 3D geometry to fuse input images into…

Computer Vision and Pattern Recognition · Computer Science 2020-06-23 Edoardo Remelli , Shangchen Han , Sina Honari , Pascal Fua , Robert Wang

This paper proposes a new method for rigid body pose estimation based on spectrahedral representations of the tautological orbitopes of $SE(2)$ and $SE(3)$. The approach can use dense point cloud data from stereo vision or an RGB-D sensor…

Computer Vision and Pattern Recognition · Computer Science 2014-04-08 Matanya B. Horowitz , Nikolai Matni , Joel W. Burdick

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

This work addresses the problem of estimating the full body 3D human pose and shape from a single color image. This is a task where iterative optimization-based solutions have typically prevailed, while Convolutional Networks (ConvNets)…

Computer Vision and Pattern Recognition · Computer Science 2018-05-11 Georgios Pavlakos , Luyang Zhu , Xiaowei Zhou , Kostas Daniilidis
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