Parameter-Free Elastic Deformation Approach for 2D and 3D Registration Using Prescribed Displacements

  • Authors:

  • Wladimir Peckar;Christoph Schnörr;Karl Rohr;H. Siegfried Stiehl

  • Affiliations:

  • Universität Hamburg, FB Informatik, AB Kognitive Systeme, Vogt-Kölln-Str. 30, D-22527 Hamburg, Germany;Universität Hamburg, FB Informatik, AB Kognitive Systeme, Vogt-Kölln-Str. 30, D-22527 Hamburg, Germany;Universität Hamburg, FB Informatik, AB Kognitive Systeme, Vogt-Kölln-Str. 30, D-22527 Hamburg, Germany;Universität Hamburg, FB Informatik, AB Kognitive Systeme, Vogt-Kölln-Str. 30, D-22527 Hamburg, Germany

  • Venue:
  • Journal of Mathematical Imaging and Vision
  • Year:
  • 1999

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Abstract

A parameter-free approach for non-rigid imageregistration based on elasticity theory is presented. In contrast totraditional physically-based numerical registration methods, noforces have to be computed from image data to drive the elasticdeformation. Instead, displacements obtained with the help ofmapping boundary structures in the source and target image areincorporated as hard constraints into elastic image deformation. Asa consequence, our approach does not contain any parameters of thedeformation model such as elastic constants. The approach guaranteesthe exact correspondence of boundary structures in the imagesassuming that correct input data are available. The implementedincremental method allows to cope with large deformations. Thetheoretical background, the finite element discretization of theelastic model, and experimental results for 2D and 3D synthetic aswell as real medical images are presented.