Ansatte – Københavns Universitet

Higher-order momentum distributions and locally affine LDDMM registration

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningfagfællebedømt

To achieve sparse parametrizations that allow intuitive analysis, we aim to represent deformation with a basis containing interpretable elements, and we wish to use elements that have the description capacity to represent the deformation compactly. To accomplish this, we introduce in this paper higher-order momentum distributions in the large deformation diffeomorphic metric mapping (LDDMM) registration framework. While the zeroth-order moments previously used in LDDMM only describe local displacement, the first-order momenta that are proposed here represent a basis that allows local description of affine transformations and subsequent compact description of non-translational movement in a globally nonrigid deformation. The resulting representation contains directly interpretable information from both mathematical and modeling perspectives. We develop the mathematical construction of the registration framework with higher-order momenta, we show the implications for sparse image registration and deformation description, and we provide examples of how the parametrization enables registration with a very low number of parameters. The capacity and interpretability of the parametrization using higher-order momenta lead to natural modeling of articulated movement, and the method promises to be useful for quantifying ventricle expansion and progressing atrophy during Alzheimer's disease.
OriginalsprogEngelsk
TidsskriftS I A M Journal on Imaging Sciences
Vol/bind6
Udgave nummer1
Sider (fra-til)341-367
Antal sider27
ISSN1936-4954
DOI
StatusUdgivet - 2013

    Forskningsområder

  • large deformation diffeomorphic metric mapping, diffeomorphic registration, reproducing kernel Hilbert space, kernels, momentum, computational anatomy

ID: 118832329