Estimation of orientation and affine transformations of a 3-dimensional object

Ram Shallom, Rami Hagege, Joseph M. Francos

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We consider the general problem of jointly estimating the orientation and deformations of a 3-dimensional object based on a finite set of known templates, and a single observation. The observation is obtained by projecting the object onto a plane (the observation plane) whose location relative to the object is a-priori unknown. We propose a method that formulates the original problem as an equivalent problem of analyzing a set of polynomials in a low dimensional space. In this setting, the procedure for estimating the orientation may be formulated as an iterative algorithm for deriving a maximal ideal in the minimal polynomial ring containing the above mentioned polynomial set. Once the orientation of the observation plane relative to the object has been estimated, the deformation parameters are recovered by solving a system of linear equations.

Original languageEnglish
Title of host publicationProceedings of the 9th IASTED International Conference on Signal and Image Processing, SIP 2007
Pages386-390
Number of pages5
StatePublished - 1 Dec 2007
Event9th IASTED International Conference on Signal and Image Processing, SIP 2007 - Honolulu, HI, United States
Duration: 20 Aug 200722 Aug 2007

Publication series

NameProceedings of the 9th IASTED International Conference on Signal and Image Processing, SIP 2007

Conference

Conference9th IASTED International Conference on Signal and Image Processing, SIP 2007
Country/TerritoryUnited States
CityHonolulu, HI
Period20/08/0722/08/07

Keywords

  • Computer vision
  • Image registration
  • Multidimensional signal processing
  • Nonlinear estimation
  • Parameter estimation

ASJC Scopus subject areas

  • Computer Vision and Pattern Recognition
  • Signal Processing

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