2010 | OriginalPaper | Buchkapitel
Moment-Based Representation
verfasst von : Laurent Younes
Erschienen in: Shapes and Diffeomorphisms
Verlag: Springer Berlin Heidelberg
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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 R
2
. We define the following moments.