General Deformations of Point Configurations Viewed By a Pinhole Model Camera

Fuente: arXiv
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Auteurs principaux: Kaminski, Yirmeyahu, Werman, Michael
Format: Preprint
Publié: 2015
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author Kaminski, Yirmeyahu
Werman, Michael
author_facet Kaminski, Yirmeyahu
Werman, Michael
contents This paper is a theoretical study of the following Non-Rigid Structure from Motion problem. What can be computed from a monocular view of a parametrically deforming set of points? We treat various variations of this problem for affine and polynomial deformations with calibrated and uncalibrated cameras. We show that in general at least three images with quasi-identical two deformations are needed in order to have a finite set of solutions of the points' structure and calculate some simple examples.
format Preprint
id arxiv_https___arxiv_org_abs_1505_08070
institution arXiv
publishDate 2015
record_format arxiv
spellingShingle General Deformations of Point Configurations Viewed By a Pinhole Model Camera
Kaminski, Yirmeyahu
Werman, Michael
Computer Vision and Pattern Recognition
Algebraic Geometry
53Z99, 53A07, 68T45, 14P05
This paper is a theoretical study of the following Non-Rigid Structure from Motion problem. What can be computed from a monocular view of a parametrically deforming set of points? We treat various variations of this problem for affine and polynomial deformations with calibrated and uncalibrated cameras. We show that in general at least three images with quasi-identical two deformations are needed in order to have a finite set of solutions of the points' structure and calculate some simple examples.
title General Deformations of Point Configurations Viewed By a Pinhole Model Camera
topic Computer Vision and Pattern Recognition
Algebraic Geometry
53Z99, 53A07, 68T45, 14P05
url https://arxiv.org/abs/1505.08070