PersLoop

Persistent 1-Cycles: Definition, Computation, and Its Application

 

Tamal K. Dey Tao Hou Sayan Mandal


PersLoop is used to generate persistent 1-Cycles  





software_link
Github-Link





We address the problem of computing these representative cycles, termed as persistent 1-cycles, for H1-persistent homology with Z2 coefficients. We propose an alternative set of meaningful persistent 1-cycles that can be computed with an efficient polynomial time algorithm. We also inspect the stability issues of the optimal persistent 1-cycles and the persistent 1-cycles computed by our algorithm with the observation that the perturbations of both cannot be properly bounded. We design a software, presented in this webpage which applies our algorithm to various datasets. Experiments on 3D point clouds, mineral structures, and images show the effectiveness of our algorithm in practice.






OTHER PUBLICATIONS OF OUR RESEARCH GROUP



Disclaimer: We do not intend to be responsible for the maintenance of the software.

Copyright: Jyamiti group at the Ohio State University. No commercial use of the software is permitted without proper license.