General Deformations of Point Configurations Viewed By a Pinhole Model Camera

Yirmeyahu Kaminski*, Michael Werman

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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 languageAmerican English
Pages (from-to)631-643
Number of pages13
JournalJournal of Mathematical Imaging and Vision
Issue number4
StatePublished - Aug 2023

Bibliographical note

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


  • Deformation
  • Dynamic scenes
  • Multiple-view geometry
  • Structure from motion


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