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• W2238245336 abstract "We summarize recent developments in elastic shape analysis, a framework that allows joint registration and statistical analysis of parameterized objects, such as functions, curves, surfaces and images. This framework is based on certain square-root transformations that allow efficient computational solutions under Riemannian metrics with desired invariance properties. Through these transformations, complicated elastic Riemannian metrics become standard L2 metric and standard tools from optimization and statistical analysis apply. In particular, optimization over the re-parameterization group allows for registration of points across objects while, simultaneously, evaluating the shape metric for comparisons of their shapes. In this chapter, we consider different objects of interest: function, curves, surfaces, and images, and present the corresponding square-root transformations. We demonstrate these ideas using examples of geodesic paths between some simple yet interesting objects." @default.
• W2238245336 created "2016-06-24" @default.
• W2238245336 creator A5048925301 @default.
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• W2238245336 date "2015-09-03" @default.
• W2238245336 modified "2023-10-16" @default.
• W2238245336 title "Elastic registration and shape analysis of functional objects" @default.
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• W2238245336 doi "https://doi.org/10.1002/9781118866641.ch11" @default.
• W2238245336 hasPublicationYear "2015" @default.
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