Shape and motion reconstruction of non rigid objects from their 2D projections under uniform expansion conditions

C. G. Provatidis, D. T. Venetsanos

Research output: Contribution to journalArticle

Abstract

This paper deals with the 3D-motion and structure reconstruction of a particular class of nonrigid objects based on a sequence of their 2D orthographic projections (images). The investigation focuses on the case where it is known a-pri-ori that the object deforms continuously in a uniform manner performing either expansion or contraction at a constant but, at the same time, unknown rate. Epipolar equations are properly extended to meet the requirements of this particular problem. It is shown that four point correspondences over four views yield a unique solution to motion and structure reconstruction. The theory is supported by a numerical result.

Original languageEnglish
Pages (from-to)187-197
Number of pages11
JournalForschung im Ingenieurwesen/Engineering Research
Volume70
Issue number3
DOIs
Publication statusPublished - Sep 2006

Keywords

  • Position Vector
  • Rotation Matrix
  • Sequential Quadratic Programming
  • Point Correspondence
  • IEEE Trans Pattern Anal

ASJC Scopus subject areas

  • Engineering(all)

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