Generating Discrete Morse Functions from Point Data

Henry King, Kevin Knudson, Neža Mramor
2005 Experimental Mathematics  
If K is a finite simplicial complex and h is an injective map from the vertices of K to R we show how to extend h to a discrete Morse function in the sense of Forman [F2] in a reasonably efficient manner so that the resulting discrete Morse function mirrors the large-scale behavior of h. A concrete algorithm is given for the case where K is a subcomplex of R 3 . Date: January 21, 2005. 2000 Mathematics Subject Classification. Primary: 57Q99 68U05. Secondary: 57R70 58E05 65D18 65R99.
doi:10.1080/10586458.2005.10128941 fatcat:qprm6ub4wbbwlcfqrkjz4flhai