Computation on shape manifold for atlas generation: application to whole heart segmentation of cardiac MRI

Xiahai Zhuang; Wenzhe Shi; Haiyan Wang; Daniel Rueckert; Sebastien Ourselin

doi:10.1117/12.2007181

13 March 2013 Computation on shape manifold for atlas generation: application to whole heart segmentation of cardiac MRI

Xiahai Zhuang, Wenzhe Shi, Haiyan Wang, Daniel Rueckert, Sebastien Ourselin

Author Affiliations +

Proceedings Volume 8669, Medical Imaging 2013: Image Processing; 866941 (2013) https://doi.org/10.1117/12.2007181
Event: SPIE Medical Imaging, 2013, Lake Buena Vista (Orlando Area), Florida, United States

Abstract

In this work, we investigate the computation on a shape manifold for atlas generation and application to atlas propagation and segmentation. We formulate the computation of Fréchet mean via the constant velocity fields and Log-Euclidean framework for Nadaraya-Watson kernel regression modeling. In this formulation, we directly compute the Fréchet mean of shapes via fast vectorial operations on the velocity fields. By using image similarity metric to estimate the distance of shapes in the assumed manifold, we can estimate a close shape of an unseen image using Naderaya-Watson kernel regression function. We applied this estimation to generate subject-specific atlases for whole heart segmentation of MRI data. The segmentation results on clinical data demonstrated an improved performance compared to existing methods, thanks to the usage of subject-specific atlases which had more similar shapes to the unseen images.

Citation Download Citation

Xiahai Zhuang, Wenzhe Shi, Haiyan Wang, Daniel Rueckert, and Sebastien Ourselin "Computation on shape manifold for atlas generation: application to whole heart segmentation of cardiac MRI", Proc. SPIE 8669, Medical Imaging 2013: Image Processing, 866941 (13 March 2013); https://doi.org/10.1117/12.2007181

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