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

Abstract : 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.
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Contributor : Matthew Trager Connect in order to contact the contributor
Submitted on : Saturday, June 15, 2019 - 12:00:55 AM
Last modification on : Tuesday, January 11, 2022 - 11:16:06 AM


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  • HAL Id : hal-01676732, version 4



Matthew Trager, Martial Hebert, Jean Ponce. Coordinate-Free Carlsson-Weinshall Duality and Relative Multi-View Geometry. CVPR 2019 - IEEE Conference on Computer Vision and Pattern Recognition, Jun 2019, Long Beach, United States. ⟨hal-01676732v4⟩



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