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Digital Morse theory : ウィキペディア英語版
Digital Morse theory
In mathematics, Digital Morse theory〔Cox, J., Karron, D. B., and Ferdous, N. (2003). Topological Zone Organization of Scalar Volume Data. ''Journal of Mathematical Imaging and Vision. ''March 2003, Volume 18, Issue 2, pp 95-117 http://link.springer.com/article/10.1023%2FA%3A1022113114311
〕〔(Digital Morse Theory for Scalar Volume Data ) . DIMACS 2003. ()〕 is a digital adaptation of continuum Morse theory for scalar volume data. This is not about Samuel Morse Code.
The main utility of a digital Morse theory is that it serves to provide a theoretical basis for isosurfaces (a kind of embedded manifold submanifold ), and perpendicular streamlines.
==DMT Tree==

A DMT Tree is a digital version of a Reeb graph or contour tree graph, showing the relationship and connectivity of one isovalued defined object to another. Typically, these are nested objects, one inside another, giving a parent-child relationship, or two objects standing alone with a peer relationship.
The essential insight of Morse theory can be given in a little parable.

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