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Low-dimensional shape analysis in the space of diffeomorphisms

Miaomiao Zhanga; Polina Gollandb; William M. Wells IIIc; Tom Fletcherd    aWashington University in St. Louis, Computer Science and Engineering, St. Louis, MO, United StatesbMassachusetts Institute of Technology, Computer Science and Artificial Intelligence Lab, Cambridge, MA, United StatescHarvard Medical School, Department of Radiology, Boston, MA, United StatesdUniversity of Virginia, Departments of Electrical & Computer Engineering and Computer Science, Charlottesville, VA, United States

Abstract

Statistical shape analysis via diffeomorphic image registration is challenging due to the high-dimensional and nonlinear nature of the space of diffeomorphisms. In this chapter, we first ...

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