Critical loci for projective reconstruction from multiple views in higher dimension : a comprehensive theoretical approach
Articolo
Data di Pubblicazione:
2015
Citazione:
Critical loci for projective reconstruction from multiple views in higher dimension : a comprehensive theoretical approach / M. Bertolini, G. Besana, C. Turrini. - In: LINEAR ALGEBRA AND ITS APPLICATIONS. - ISSN 0024-3795. - 469(2015 Mar 15), pp. 335-363.
Abstract:
A class of determinantal varieties, arising as critical loci for a natural generalization of a classical problem in computer vision, is introduced. Their ideals are investigated. These varieties are the critical loci for projective reconstruction from multiple views in higher dimension and, under suitable genericity assumptions, turn out to be hypersurfaces of degree r in P^(2r-1) or varieties of codimension 2 and degree (r+2)(r+1)/2 in P^(2r).
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Determinantal varieties; Computer vision; Multiview geometry
Elenco autori:
M. Bertolini, G. Besana, C. Turrini
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