2D and 3D random curve models
Stochastic geometry

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2D and 3D random curve models


Stochastic geometry

Author : Jean-Charles PINOLI

Publication date: October 10, 2016 | Lire en français

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17.  2D and 3D random curve models

For filiform objects, it's best to use curve models, where the elementary random object is a curve (necessarily continuous by definition), simple (i.e., without double points), topologically closed (i.e., it contains its two possible end points), sufficiently regular (e.g., of class C2 by pieces, or even Lipchitzian by pieces (p. 9 of ), and rectifiable of finite length.

A field of curves...

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