This work is concerned with applications of algebraic geometry to computer vision. Critical configurations and critical loci for projective reconstructions from 1 view in any dimension are rigorously defined. Irreducible critical loci are described. Instability of the reconstruction for configurations of points that are close to being critical is verified via a series of simulated experiments using MATLAB (R).
Instability of projective reconstruction from 1-view near critical configurations in higher dimensions / M. Bertolini, G.M. Besana, C. Turrini (CONTEMPORARY MATHEMATICS). - In: Algebra, geometry and their interactions / [a cura di] A. Corso, J. Migliore, C. Polini. - Providence : American Mathematical Society, 2007. - ISBN 9780821840948. - pp. 1-12 (( convegno International Conference on Midwest Algebra, Geometry and Their Interactions tenutosi a Notre Dame nel 2005.
Instability of projective reconstruction from 1-view near critical configurations in higher dimensions
M. BertoliniPrimo
;C. TurriniUltimo
2007
Abstract
This work is concerned with applications of algebraic geometry to computer vision. Critical configurations and critical loci for projective reconstructions from 1 view in any dimension are rigorously defined. Irreducible critical loci are described. Instability of the reconstruction for configurations of points that are close to being critical is verified via a series of simulated experiments using MATLAB (R).
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