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The problem of structure from motion is concerned with recovering the 3-dimensional structure of an object from a set of 2-dimensional images taken by unknown cameras. Generally, all information can be uniquely recovered if enough images…

Algebraic Geometry · Mathematics 2024-03-01 Martin Bråtelund

The problem of structure from motion is concerned with recovering 3-dimensional structure of an object from a set of 2-dimensional images. Generally, all information can be uniquely recovered if enough images and image points are provided,…

Algebraic Geometry · Mathematics 2024-01-09 Martin Bråtelund

In Algebraic Vision, the projective reconstruction of the position of each camera and scene point from the knowledge of many enough corresponding points in the views is called the structure from motion problem. It is known that the…

Algebraic Geometry · Mathematics 2024-08-06 Marina Bertolini , Roberto Notari , Cristina Turrini

This paper addresses the problem of recovering projective camera matrices from collections of fundamental matrices in multiview settings. We make two main contributions. First, given ${n \choose 2}$ fundamental matrices computed for $n$…

Computer Vision and Pattern Recognition · Computer Science 2021-06-08 Yoni Kasten , Amnon Geifman , Meirav Galun , Ronen Basri

Structure from Motion (SfM) refers to the problem of recovering both structure (i.e., 3D coordinates of points in the scene) and motion (i.e., camera matrices) starting from point correspondences in multiple images. It has attracted…

Computer Vision and Pattern Recognition · Computer Science 2025-05-22 Federica Arrigoni

The structure from motion (SfM) problem in computer vision is the problem of recovering the three-dimensional ($3$D) structure of a stationary scene from a set of projective measurements, represented as a collection of two-dimensional…

Computer Vision and Pattern Recognition · Computer Science 2017-05-10 Onur Ozyesil , Vladislav Voroninski , Ronen Basri , Amit Singer

We present a novel Structure from Motion pipeline that is capable of reconstructing accurate camera poses for panorama-style video capture without prior camera intrinsic calibration. While panorama-style capture is common and convenient,…

Computer Vision and Pattern Recognition · Computer Science 2019-06-11 Chris Sweeney , Aleksander Holynski , Brian Curless , Steve M Seitz

We propose a strategy for improving camera location estimation in structure from motion. Our setting assumes highly corrupted pairwise directions (i.e., normalized relative location vectors), so there is a clear room for improving current…

Computer Vision and Pattern Recognition · Computer Science 2019-01-24 Yunpeng Shi , Gilad Lerman

Structure from Motion or the sparse 3D reconstruction out of individual photos is a long studied topic in computer vision. Yet none of the existing reconstruction pipelines fully addresses a progressive scenario where images are only…

Computer Vision and Pattern Recognition · Computer Science 2018-07-12 Alex Locher , Michal Havlena , Luc Van Gool

Finding local features that are repeatable across multiple views is a cornerstone of sparse 3D reconstruction. The classical image matching paradigm detects keypoints per-image once and for all, which can yield poorly-localized features and…

Computer Vision and Pattern Recognition · Computer Science 2021-08-19 Philipp Lindenberger , Paul-Edouard Sarlin , Viktor Larsson , Marc Pollefeys

The three-dimensional representation of objects or scenes starting from a set of images has been a widely discussed topic for years and has gained additional attention after the diffusion of NeRF-based approaches. However, an underestimated…

Computer Vision and Pattern Recognition · Computer Science 2024-09-10 Davide Di Nucci , Alessandro Simoni , Matteo Tomei , Luca Ciuffreda , Roberto Vezzani , Rita Cucchiara

The Structure from Motion (SfM) challenge in computer vision is the process of recovering the 3D structure of a scene from a series of projective measurements that are calculated from a collection of 2D images, taken from different…

Computer Vision and Pattern Recognition · Computer Science 2023-04-06 Joseph Rowell

This paper is concerned with possibility of recovery of motion and structure parameters from multiframes under perspective projection when only points on a rigid body are traced. Free (unrestricted and uncontrolled) pattern of motion…

Computer Vision and Pattern Recognition · Computer Science 2018-12-20 Mieczysław A. Kłopotek

This paper is a theoretical study of the following Non-Rigid Structure from Motion problem. What can be computed from a monocular view of a parametrically deforming set of points? We treat various variations of this problem for affine and…

Computer Vision and Pattern Recognition · Computer Science 2025-04-10 Yirmeyahu Kaminski , Michael Werman

We rephrase the problem of 3D reconstruction from images in terms of intersections of projections of orbits of custom built Lie groups actions. We then use an algorithmic method based on moving frames "a la Fels-Olver" to obtain a…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Pierre-Louis Bazin , Mireille Boutin

Structure-from-Motion -- the process of simultaneously estimating camera poses and 3D scene structure from a collection of images -- remains a central challenge in computer vision, with many open problems yet to be solved. Recent advances…

Computer Vision and Pattern Recognition · Computer Science 2026-05-27 Linfei Pan , Johannes Schönberger , Marc Pollefeys

Rigid structure-from-motion (RSfM) and non-rigid structure-from-motion (NRSfM) have long been treated in the literature as separate (different) problems. Inspired by a previous work which solved directly for 3D scene structure by factoring…

Computer Vision and Pattern Recognition · Computer Science 2017-07-18 Pan Ji , Hongdong Li , Yuchao Dai , Ian Reid

Accurate 3D reconstruction from unstructured image collections is a key requirement in applications such as robotics, mapping, and scene understanding. While global Structure from Motion (SfM) techniques rely on full image connectivity and…

Computer Vision and Pattern Recognition · Computer Science 2025-08-05 Muhammad Zeeshan , Umer Zaki , Syed Ahmed Pasha , Zaar Khizar

Structure-from-motion (SfM) is a long-standing problem in the computer vision community, which aims to reconstruct the camera poses and 3D structure of a scene from a set of unconstrained 2D images. Classical frameworks solve this problem…

Computer Vision and Pattern Recognition · Computer Science 2023-12-08 Jianyuan Wang , Nikita Karaev , Christian Rupprecht , David Novotny

Structure from motion is an import theme in computer vision. Although great progress has been made both in theory and applications, most of the algorithms only work for static scenes and rigid objects. In recent years, structure and motion…

Computer Vision and Pattern Recognition · Computer Science 2017-01-02 Guanghui Wang
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