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Deformable Objects and Matching Functionals

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Shapes and Diffeomorphisms

Part of the book series: Applied Mathematical Sciences ((AMS,volume 171))

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Abstract

In the previous two chapters, we introduced and studied basic tools related to deformations and their mathematical representation using diffeomorphisms. In this chapter, we start investigating relations between deformations and the objects they affect, which we will call deformable objects, and discuss the variations of matching functionals, which are cost functions that measure the quality of the registration between two deformable objects.

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© 2010 Springer Berlin Heidelberg

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Younes, L. (2010). Deformable Objects and Matching Functionals. In: Shapes and Diffeomorphisms. Applied Mathematical Sciences, vol 171. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12055-8_10

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