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Publication Detail
Accurate small deformation exponential approximant to integrate large velocity fields: Application to image registration
  • Publication Type:
    Conference presentation
  • Authors:
    Ferraris S, Lorenzi M, Daga P, Modat M, Vercauteren T
  • Date:
  • Name of Conference:
    WBIR 7th International Workshop on Biomedical Image Registration
  • Conference place:
    Las Vegas, Caesar Palace
  • Conference start date:
  • Conference finish date:
  • Language:
  • Keywords:
    image registration, diffeomorphisms, scaling and squaring, stationary velocity fields
  • Addresses:
    Translational Imaging Group,
    Centre for Medical Image Computing
    Translational Imaging Group
    8th floor, Malet Place Engineering Building, 2 Malet Place
    WC1E 7JE
    United Kingdom
  • Notes:
    Copyright © 2016 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
One of the basic components of diffeomorphic image registration algorithms based on velocity fields is the numerical method used to integrate velocity parameters and obtain spatial transformations as displacement fields. When the input velocity field does not depend on the time parameter, the solution is often referred to as the Lie exponential of the velocity field. In this work, we present an integration method for its numerical computation based both on a generalization of the scaling and squaring algorithm and on a class of numerical integrators aimed to solve systems of ordinary differential equations called exponential integrators. This new method led to the introduction of three numerical integrators, and the subsequent validation are performed on synthetic deformations and real medical images.
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