Perfect discrete Morse functions on Stratifoldds
Jesus Liceaga-Martinez, Jes\'us Rodr\'iguez-Viorato, Jos\'e Carlos G\'omez-Larra\~naga
TL;DR
This paper introduces an efficient algorithm for computing optimal discrete Morse functions on stratifolds and characterizes the conditions for their perfection, advancing the understanding of topological simplification methods.
Contribution
It provides a new algorithm for optimal discrete Morse functions on stratifolds and characterizes when these functions are perfect, filling a gap in topological data analysis.
Findings
Efficient algorithm for computing discrete Morse functions
Characterization of conditions for perfect Morse functions
Application to a broad class of stratifolds
Abstract
In this paper, we study the computation of optimal discrete Morse functions on stratifolds. In particular, we present an algorithm that efficiently computes such functions for a broad class of them. Moreover, we characterize the conditions under which these functions are perfect.
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Taxonomy
TopicsTopological and Geometric Data Analysis · Digital Image Processing Techniques · Slime Mold and Myxomycetes Research