ESTIMATING TENSORS FOR MATCHING OVER MULTIPLE VIEWS

Citation
J. Lasenby et An. Lasenby, ESTIMATING TENSORS FOR MATCHING OVER MULTIPLE VIEWS, Philosophical transactions-Royal Society of London. Physical sciences and engineering, 356(1740), 1998, pp. 1267-1279
Citations number
14
Categorie Soggetti
Multidisciplinary Sciences
ISSN journal
09628428
Volume
356
Issue
1740
Year of publication
1998
Pages
1267 - 1279
Database
ISI
SICI code
0962-8428(1998)356:1740<1267:ETFMOM>2.0.ZU;2-Z
Abstract
In this paper we give purely geometric derivations of the constraints between point and line correspondences in multiple views of a static f ield. The analysis is carried out using geometric algebra, a system wh ich provides a useful tool in many computer vision applications. It is shown that with a straightforward geometric interpretation it is simp le to derive the degrees of freedom of such tensors and to understand their structure. Given such information, minimal parametrizations of t he tensors are possible. Such parametrizations may be useful for estim ation of the tensors and subsequent matching of points.