MMPersistence: A mathematical morphology-oriented software library for computing persistent homology on cubical complexes
New software combines mathematical morphology operations with persistent homology to analyze images.
Researcher Chuan-Shen Hu developed MMPersistence, a new software library that integrates Mathematical Morphology (MM) image processing operations with Persistent Homology (PH) computation on cubical complexes. Built on the GUDHI package, it uses structuring elements of different shapes to create topological filtrations. This allows researchers to extract multiscale persistence information from digital images, encoding both spatial and morphological characteristics for richer analysis than conventional cubical homology alone.
Why It Matters
Provides a unified framework for analyzing medical images, materials science data, and computer vision tasks by combining topological and morphological insights.