Combined affine geometric transformations and spatially dependent radiometric deformations: A decoupled linear estimation framework

Jacob Bentolila, Joseph M. Francos

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

This paper considers the problem of registering two observations of the same object, where the observations differ due to a combined effect of an affine geometric transformation and nonuniform illumination changes. The problem of deriving new representations of the observations that are both invariant to geometric transformations and linear in the illumination model is analyzed. In this framework, we present a novel method for linear estimation of illumination changes in an affine invariant manner, thus, decoupling the original problem into two simpler ones. The computational complexity of the method is low as it requires no more than solving a linear set of equations. The prior step of illumination estimation is shown to improve the accuracy of state-of-the-art registration techniques by a factor of two.

Original languageEnglish
Article number5741849
Pages (from-to)2886-2895
Number of pages10
JournalIEEE Transactions on Image Processing
Volume20
Issue number10
DOIs
StatePublished - 1 Oct 2011

Keywords

  • Affine invariance
  • affine invariant features
  • geometric distortion
  • illumination invariance
  • object tracking
  • pose estimation

ASJC Scopus subject areas

  • Software
  • Computer Graphics and Computer-Aided Design

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