Abstract
Moments are global descriptors which can be used to represent shapes [117, 199, 177]. They are defined as integrals, either along the boundary of the shape, or over its interior. To simplify the discussion, we introduce a common notation for both cases. Let m be a non-intersecting closed curve, and Ω m its interior. Let f be a function defined on R2. We define the following moments.
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© 2010 Springer Berlin Heidelberg
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Younes, L. (2010). Moment-Based Representation. In: Shapes and Diffeomorphisms. Applied Mathematical Sciences, vol 171. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12055-8_3
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DOI: https://doi.org/10.1007/978-3-642-12055-8_3
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-12054-1
Online ISBN: 978-3-642-12055-8
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