Polyaffine parametrization of image registration based on geodesic flows

Michael Sass Hansen, Signe Strann Thorup, Simon K. Warfield

    Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

    Abstract

    Image registration based on geodesic flows has gained much popularity in recent years. We describe a novel parametrization of the velocity field in a stationary flow equation. We show that the method offers both precision, flexibility, and simplicity of evaluation. With our representation, which is very similar to existing methods, we show that we can find an analytical solution. This solution converges exponentially to the true solution, and the gradients may be determined similarly. We compare to existing prominent methods; the log-euclidean polyaffine framework, and the DARTEL implementation of geodesic shooting for computational anatomy. We avoid to do warp field convolution by interpolation in a dense field, we can easily calculate warp derivatives in a reference frame of choice, and we can consequently avoid interpolation in the image space altogether.
    Original languageEnglish
    Title of host publication2012 IEEE Workshop on Mathematical Methods in Biomedical Image Analysis (MMBIA)
    Number of pages7
    PublisherIEEE
    Publication date2012
    ISBN (Print)978-1-4673-0352-1
    ISBN (Electronic)978-1-4673-0353-8
    DOIs
    Publication statusPublished - 2012
    Event2012 IEEE Workshop on Mathematical Methods in Biomedical Image Analysis (MMBIA) - Breckenridge, CO, United States
    Duration: 9 Jan 201210 Jan 2012

    Conference

    Conference2012 IEEE Workshop on Mathematical Methods in Biomedical Image Analysis (MMBIA)
    CountryUnited States
    CityBreckenridge, CO
    Period09/01/201210/01/2012

    Keywords

    • convergence of numerical methods
    • convolution
    • differential geometry
    • flow
    • image registration
    • interpolation
    • medical image processing

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