Digital adaptation of continuum Morse theory for scalar volume data
This article is about the mathematical theory. For Samuel Morse's telegraphic code, see Morse code.
In mathematics, digital Morse theory[1][2] is a digital adaptation of continuum Morse theory for scalar volume data. The term was first promulgated by DB Karron based on the work of JL Cox and DB Karron.
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 in a digital context. The intended main application of DMT is in the rapid semiautomatic segmentation objects such as organs and anatomic structures from stacks of medical images such as produced by three-dimensional computed tomography by CT or MRI technology.
^Cox, J.; Karron, D. B.; Ferdous, N. (2003). "Topological Zone Organization of Scalar Volume Data". Journal of Mathematical Imaging and Vision. 18 (2): 95–117. doi:10.1023/A:1022113114311. S2CID 24983543.
^Cox, J.; Karron, D.B.; Ferdous, N. (2002). "Digital Morse Theory for scalar volume data" (PDF). DIMACS 2003. Archived from the original (PDF) on 2009-01-24.
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