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

Lilla Zöllei1, Mark Jenkinson, Samson Timoner

  • 1A. A. Martinos Center, MGH, USA. lzollei@nmr.mgh.harvard.edu

Information Processing in Medical Imaging : Proceedings of the ... Conference
|July 19, 2007
PubMed
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This study introduces a novel maximum a posteriori (MAP) framework for pair-wise image registration. The developed Expectation-Maximization (EM) algorithm efficiently solves entropy-based registration problems, demonstrating effectiveness in intra-operative scenarios.

Area of Science:

  • Medical Imaging
  • Computer Vision
  • Computational Anatomy

Background:

  • Pair-wise image registration is crucial for aligning medical images.
  • Existing methods often struggle with complex registration tasks, such as intra-operative scenarios.
  • Maximum a posteriori (MAP) frameworks offer a probabilistic approach to registration.

Purpose of the Study:

  • To develop a novel MAP framework for pair-wise image registration.
  • To address the challenge of nuisance parameters in registration by marginalization.
  • To introduce an efficient optimization algorithm for entropy-based registration.

Main Methods:

  • Formalized pair-wise registration within a MAP framework using a multinomial model of joint intensities.
  • Treated multinomial parameters as nuisance parameters and marginalized them out.

Related Experiment Videos

  • Utilized the Expectation-Maximization (EM) algorithm to optimize the marginalized objective function.
  • Main Results:

    • Marginalization leads to joint entropy minimization with uninformative priors and pooled entropy minimization with informative priors.
    • The EM algorithm provides a simple and effective iteration for entropy-based registration.
    • Demonstrated rapid and effective solving of a challenging intra-operative registration problem.

    Conclusions:

    • The proposed MAP framework and EM algorithm offer an effective solution for pair-wise image registration.
    • The method shows particular promise for challenging intra-operative registration tasks.
    • This approach advances the field of medical image analysis and computational anatomy.