A marginalized MAP approach and EM optimization for pair-wise registration

Lilla Zöllei, Mark Jenkinson, Samson Timoner, William Wells

Research output: Chapter in Book/Report/Conference proceedingConference contribution

11 Citations (Scopus)

Abstract

We formalize the pair-wise registration problem in a maximum a posteriori (MAP) framework that employs a multinomial model of joint intensities with parameters for which we only have a prior distribution. To obtain an MAP estimate of the aligning transformation alone, we treat the multinomial parameters as nuisance parameters, and marginalize them out. If the prior on those is uninformative, the marginalization leads to registration by minimization of joint entropy. With an informative prior, the marginalization leads to minimization of the entropy of the data pooled with pseudo observations from the prior. In addition, we show that the marginalized objective function can be optimized by the Expectation-Maximization (EM) algorithm, which yields a simple and effective iteration for solving entropy-based registration problems. Experimentally, we demonstrate the effectiveness of the resulting EM iteration for rapidly solving a challenging intra-operative registration problem.

Original languageEnglish
Title of host publicationInformation Processing in Medical lmaging - 20th International Conference, IPMI 2007, Proceedings
PublisherSpringer Verlag
Pages662-674
Number of pages13
ISBN (Print)3540732721, 9783540732723
DOIs
Publication statusPublished - 1 Jan 2007
Event20th International Conference on Information Processing in Medical lmaging, IPMI 2007 - Kerkrade, Netherlands
Duration: 2 Jul 20076 Jul 2007

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume4584 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other20th International Conference on Information Processing in Medical lmaging, IPMI 2007
CountryNetherlands
CityKerkrade
Period2/07/076/07/07

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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