General Deformations of Point Configurations Viewed By a Pinhole Model Camera

Yirmeyahu Kaminski; Michael Werman

doi:10.1007/s10851-023-01142-1

General Deformations of Point Configurations Viewed By a Pinhole Model Camera

Yirmeyahu Kaminski, Michael Werman

Research output: Contribution to journal › Article › peer-review

Abstract

This paper is a theoretical study of the 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 3D affine and general smooth deformations (under some mild technical restrictions) with either a calibrated or an uncalibrated camera. We show that in general at least three images related by quasi-identical deformations are needed to have a finite set of solutions to the points’ structure.

Original language	English
Pages (from-to)	631-643
Number of pages	13
Journal	Journal of Mathematical Imaging and Vision
Volume	65
Issue number	4
DOIs	https://doi.org/10.1007/s10851-023-01142-1
State	Published - Aug 2023
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2023, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.

Keywords

Deformation
Dynamic scenes
Multiple-view geometry
Structure from motion

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10.1007/s10851-023-01142-1

Cite this

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General Deformations of Point Configurations Viewed By a Pinhole Model Camera

Abstract

Bibliographical note

Keywords

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