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

Matthew Trager, Martial Hebert, Jean Ponce; The IEEE Conference on Computer Vision and Pattern Recognition (CVPR), 2019, pp. 225-233

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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[bibtex]
@InProceedings{Trager_2019_CVPR,
author = {Trager, Matthew and Hebert, Martial and Ponce, Jean},
title = {Coordinate-Free Carlsson-Weinshall Duality and Relative Multi-View Geometry},
booktitle = {The IEEE Conference on Computer Vision and Pattern Recognition (CVPR)},
month = {June},
year = {2019}
}