Legouhy, A; Commowick, O; Rousseau, F; Barillot, C; (2019) Unbiased longitudinal brain atlas creation using robust linear registration and log-Euclidean framework for diffeomorphisms. In: Proceedings of the 16th International Symposium on Biomedical Imaging (ISBI 2019) IEEE. (pp. pp. 1038-1041). Institute of Electrical and Electronics Engineers (IEEE)

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Abstract

e present a new method to create a diffeomorphic longitudinal (4D) atlas composed of a set of 3D atlases each representing an average model at a given age. This is achieved by generalizing atlasing methods to produce atlases unbiased with respect to the initial reference up to a rigid transformation and ensuring diffeomorphic deformations thanks to the Baker-Campbell-Hausdorff formula and the log-Euclidean framework for diffeomorphisms. Subjects are additionally weighted using an asymmetric function to closely match specified target ages. Creating a longitudinal atlas also implies dealing with subjects with large brain differences that can lead to registration errors. This is overcome by a robust rigid registration based on polar decomposition. We illustrate these techniques for the creation of a 4D pediatric atlas, showing their ability to create a temporally consistent atlas.

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