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2005 Generating Discrete Morse Functions from Point Data
Henry King, Kevin Knudson, Neža Mramor
Experiment. Math. 14(4): 435-444 (2005).

Abstract

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 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 $\R^3$.

Citation

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Henry King. Kevin Knudson. Neža Mramor. "Generating Discrete Morse Functions from Point Data." Experiment. Math. 14 (4) 435 - 444, 2005.

Information

Published: 2005
First available in Project Euclid: 10 January 2006

zbMATH: 1097.57020
MathSciNet: MR2193806

Subjects:
Primary: 57Q99 , 68U05
Secondary: 57R70 , 58E05 , 65D18 , 65R99

Keywords: discrete Morse theory , Persistence

Rights: Copyright © 2005 A K Peters, Ltd.

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Vol.14 • No. 4 • 2005
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