Size pair

Size pair

In size theory, a size pair is a pair (M,varphi), where M is a compact topological space and varphi:M o mathbb{R}^k is a continuous function Patrizio Frosini, Claudia Landi, "Size theory as a topological tool for computer vision", Pattern Recognition And Image Analysis, 9(4):596-603, 1999.] [Patrizio Frosini, Michele Mulazzani,"Size homotopy groups for computation of natural size distances",Bulletin of the Belgian Mathematical Society - Simon Stevin, 6:455-464, 1999.] [Françoise Dibos, Patrizio Frosini, Denis Pasquignon,"The use of size functions for comparison of shapes through differential invariants",Journal of Mathematical Imaging and Vision, 21(2):107-118, 2004.] .The function varphi is called a "measuring function". The topological space M is usually assumed to be also a locally connected and Hausdorff space.

References

ee also

* Size theory
* Size function
* Size functor
* Size homotopy group
* Natural pseudodistance


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