Estimation of affine geometric transformations of several objects from global measurements

Rami R. Hagege, Joseph M. Francos

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

3 Scopus citations

Abstract

We consider the problem of jointly estimating the affine transformations of multiple objects from a single noisy observation, where each object is undergoing a different affine transformation. The derived algorithm is employed directly, such that prior segmentation of the observation into the distinct objects is avoided. Explicit expressions recovering the parameters of the transformation of each object are derived, assuming only knowledge of the template of each object. In the absence of noise the solution is exact and is not affected by the magnitudes of the deformations. In the presence of noise, the parameters are obtained using a linear least squares solution.

Original languageEnglish
Title of host publication2009 IEEE International Workshop on Multimedia Signal Processing, MMSP '09
DOIs
StatePublished - 1 Dec 2009
Event2009 IEEE International Workshop on Multimedia Signal Processing, MMSP '09 - Rio De Janeiro, Brazil
Duration: 5 Oct 20097 Oct 2009

Publication series

Name2009 IEEE International Workshop on Multimedia Signal Processing, MMSP '09

Conference

Conference2009 IEEE International Workshop on Multimedia Signal Processing, MMSP '09
Country/TerritoryBrazil
CityRio De Janeiro
Period5/10/097/10/09

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