Abstract
The infinitesimal version of the construction of Section 12.1.2 provides a metric based on transformations in which the objects can change under the action of diffeomorphisms but also under independent variations. We shall refer to such metrics as metamorphoses [150, 205, 206, 115]. They will result in formulations that enable both object registration and metric comparison.
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Younes, L. (2010). Metamorphosis. In: Shapes and Diffeomorphisms. Applied Mathematical Sciences, vol 171. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12055-8_13
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DOI: https://doi.org/10.1007/978-3-642-12055-8_13
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