Size pair
In size theory, a size pair is a pair , where
is a compact topological space and
is a continuous function.[1][2][3]
The function
is called a measuring function. The topological space
is usually assumed to be also a locally connected and Hausdorff space.
References
- ↑ 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 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.
See also
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