Projective Reconstruction in Algebraic Vision
Canadian mathematical bulletin, Tome 63 (2020) no. 3, pp. 592-609
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We discuss the geometry of rational maps from a projective space of an arbitrary dimension to the product of projective spaces of lower dimensions induced by linear projections. In particular, we give an algebro-geometric variant of the projective reconstruction theorem by Hartley and Schaffalitzky.
Mots-clés :
computer vision, algebraic vision, multiview geometry, projective reconstruction, Hilbert scheme
Ito, Atsushi; Miura, Makoto; Ueda, Kazushi. Projective Reconstruction in Algebraic Vision. Canadian mathematical bulletin, Tome 63 (2020) no. 3, pp. 592-609. doi: 10.4153/S0008439519000687
@article{10_4153_S0008439519000687,
author = {Ito, Atsushi and Miura, Makoto and Ueda, Kazushi},
title = {Projective {Reconstruction} in {Algebraic} {Vision}},
journal = {Canadian mathematical bulletin},
pages = {592--609},
year = {2020},
volume = {63},
number = {3},
doi = {10.4153/S0008439519000687},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439519000687/}
}
TY - JOUR AU - Ito, Atsushi AU - Miura, Makoto AU - Ueda, Kazushi TI - Projective Reconstruction in Algebraic Vision JO - Canadian mathematical bulletin PY - 2020 SP - 592 EP - 609 VL - 63 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/S0008439519000687/ DO - 10.4153/S0008439519000687 ID - 10_4153_S0008439519000687 ER -
%0 Journal Article %A Ito, Atsushi %A Miura, Makoto %A Ueda, Kazushi %T Projective Reconstruction in Algebraic Vision %J Canadian mathematical bulletin %D 2020 %P 592-609 %V 63 %N 3 %U http://geodesic.mathdoc.fr/articles/10.4153/S0008439519000687/ %R 10.4153/S0008439519000687 %F 10_4153_S0008439519000687
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