Coordinate-Free Carlsson-Weinshall Duality and Relative Multi-View Geometry

We present a coordinate-free description of Carlsson-Weinshall duality between scene points and camera pinholes and use it to derive a new characterization of primal/dual multi-view geometry. In the case of three views, a particular set of reduced trilinearities provide a novel parameterization of c...

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Bibliographic Details
Published in:	Proceedings (IEEE Computer Society Conference on Computer Vision and Pattern Recognition. Online) pp. 225 - 233
Main Authors:	Trager, Matthew, Hebert, Martial, Ponce, Jean
Format:	Conference Proceeding
Language:	English
Published:	IEEE 01.06.2019
Subjects:	3D from Multiview and Sensors Cameras Computer vision Computer Vision Theory Geometry Pattern recognition Structure from motion Synthetic data Three-dimensional displays
ISSN:	1063-6919
Online Access:	Get full text
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Summary:	We present a coordinate-free description of Carlsson-Weinshall duality between scene points and camera pinholes and use it to derive a new characterization of primal/dual multi-view geometry. In the case of three views, a particular set of reduced trilinearities provide a novel parameterization of camera geometry that, unlike existing ones, is subject only to very simple internal constraints. These trilinearities lead to new "quasi-linear" algorithms for primal and dual structure from motion. We include some preliminary experiments with real and synthetic data.
ISSN:	1063-6919
DOI:	10.1109/CVPR.2019.00031