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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Vydáno v:Proceedings (IEEE Computer Society Conference on Computer Vision and Pattern Recognition. Online) s. 225 - 233
Hlavní autoři: Trager, Matthew, Hebert, Martial, Ponce, Jean
Médium: Konferenční příspěvek
Jazyk:angličtina
Vydáno: IEEE 01.06.2019
Témata:
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
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Popis
Shrnutí: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