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An efficient EM-ICP algorithm for symmetric consistent non-linear registration of point sets.

Benoit Combès1, Sylvain Prima

  • 1INSERM, U746, F-35042 Rennes, France. bcombes@irisa.fr

Medical Image Computing and Computer-Assisted Intervention : MICCAI ... International Conference on Medical Image Computing and Computer-Assisted Intervention
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Summary

We introduce a novel algorithm for non-linear registration of point sets, ensuring consistent forward and backward deformation fields through a symmetric cost function. This method efficiently handles large datasets with smooth deformations.

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Area of Science:

  • Computer Vision
  • Computational Geometry
  • Medical Image Analysis

Background:

  • Non-linear registration is crucial for aligning complex data.
  • Existing methods often struggle with large point sets or ensuring deformation consistency.

Purpose of the Study:

  • To develop a robust and efficient algorithm for non-linear registration of point sets.
  • To ensure consistency between forward and backward deformation fields.

Main Methods:

  • A symmetric cost function coupling forward and backward deformation fields.
  • Inclusion of regularization terms for deformation smoothness.
  • A two-step iterative optimization algorithm.
  • Utilizing Reproducing Kernel Hilbert Space (RKHS) theory for efficient solutions.

Main Results:

  • The algorithm effectively estimates consistent forward and backward deformation fields.
  • Achieved efficient and fast closed-form solutions for optimal fields.
  • Demonstrated capability to handle large point sets.

Conclusions:

  • The proposed algorithm offers an efficient and accurate solution for non-linear point set registration.
  • The symmetric cost function and RKHS-based regularization enhance robustness and speed.