A Geodesic Mixed Effects Model in Kendall's Shape Space

  • In many applications, geodesic hierarchical models are adequate for the study of temporal observations. We employ such a model derived for manifold-valued data to Kendall's shape space. In particular, instead of the Sasaki metric, we adapt a functional-based metric, which increases the computational efficiency and does not require the implementation of the curvature tensor. We propose the corresponding variational time discretization of geodesics and apply the approach for the estimation of group trends and statistical testing of 3D shapes derived from an open access longitudinal imaging study on osteoarthritis.

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Metadaten
Author:Esfandiar Nava-YazdaniORCiD, Hans-Christian HegeORCiDGND, Christoph von TycowiczORCiD
Document Type:In Proceedings
Parent Title (English):Proc. 7th MICCAI workshop on Mathematical Foundations of Computational Anatomy (MFCA)
Volume:11846
First Page:209
Last Page:218
Series:Lecture Notes in Computer Science
Year of first publication:2019
Preprint:urn:nbn:de:0297-zib-74621
DOI:https://doi.org/10.1007/978-3-030-33226-6_22