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

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Matthew Trager
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  • PersonId : 966520
Martial Hebert
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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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Dates and versions

hal-01676732 , version 1 (06-01-2018)
hal-01676732 , version 2 (10-08-2018)
hal-01676732 , version 3 (07-04-2019)
hal-01676732 , version 4 (15-06-2019)

Identifiers

  • HAL Id : hal-01676732 , version 4

Cite

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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