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Statistical shape analysis of large datasets based diffeomorphic iterative centroids

Authors
  • Cury, Claire
  • Glaunés, Joan
  • Roberto Toro
  • Chupin, Marie
  • Shumann, Gunter
  • Frouin, Vincent
  • Poline, Jean-Baptiste
  • Colliot, Olivier
Type
Published Article
Journal
Frontiers in Neuroscience
Publisher
Frontiers Media SA
Publication Date
Nov 22, 2018
Volume
12
Identifiers
DOI: 10.3389/fnins.2018.00803
OAI: oai:HAL:hal-01212226v1
Source
USPC - SET - SVS
Keywords
License
Green
External links

Abstract

In this paper, we propose an approach for template-based shape analysis of large datasets, using diffeomorphic centroids as atlas shapes. Diffeomorphic centroid methods fit in the Large Deformation Diffeomorphic Metric Mapping (LDDMM) framework and use kernel metrics on currents to quantify surface dissimilarities. The statistical analysis is based on a Kernel Principal Component Analysis (Kernel PCA) performed on the set of initial momentum vectors which parametrize the deformations. We tested the approach on different datasets of hippocampal shapes extracted from brain magnetic resonance imaging (MRI), compared three different centroid methods and a variational template estimation. The largest dataset is composed of 1,000 surfaces, and we are able to analyse this dataset in 26 h using a diffeomorphic centroid. Our experiments demonstrate that computing diffeomorphic centroids in place of standard variational templates leads to similar shape analysis results and saves around 70% of computation time. Furthermore, the approach is able to adequately capture the variability of hippocampal shapes with a reasonable number of dimensions, and to predict anatomical features of the hippocampus, only present in 17% of the population, in healthy subjects.

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