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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https://hal.inria.fr/hal-01676732
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Submitted on : Sunday, April 7, 2019 - 8:54:32 PM
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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-01676732v3⟩

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