Abstract
Deformable shape modeling approaches that describe objects in terms of their medial axis geometry (e.g., m-reps [10]) yield rich geometrical features that can be useful for analyzing the shape of sheet-like biological structures, such as the myocardium. We present a novel shape analysis approach that combines the benefits of medial shape modeling and diffeomorphometry. Our algorithm is formulated as a problem of matching shapes using diffeomorphic flows under constraints that approximately preserve medial axis geometry during deformation. As the result, correspondence between the medial axes of similar shapes is maintained. The approach is evaluated in the context of modeling the shape of the left ventricular wall from 3D echocardiography images.
This work is supported by NIH grants AG056014, EB017255, HL103723, HL141643.
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A property of \(\mathcal{O}\) is considered “generic” if it is invariant to small smooth perturbations of \(\mathcal{O}\). For example, the centers of the MIBs in a perfect cylinder form a line, but a small perturbation breaks this perfect symmetry.
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Yushkevich, P.A. et al. (2019). Diffeomorphic Medial Modeling. In: Chung, A., Gee, J., Yushkevich, P., Bao, S. (eds) Information Processing in Medical Imaging. IPMI 2019. Lecture Notes in Computer Science(), vol 11492. Springer, Cham. https://doi.org/10.1007/978-3-030-20351-1_16
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DOI: https://doi.org/10.1007/978-3-030-20351-1_16
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