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).

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.

Critical loci for projective reconstruction from multiple views in higher dimension : a comprehensive theoretical approach

M. Bertolini
Primo
;
C. Turrini
Ultimo
2015

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).
Determinantal varieties; Computer vision; Multiview geometry
Settore MAT/03 - Geometria
15-mar-2015
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/325665
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