Visualizing Sparse Filtrations
Nicholas J. Cavanna, Mahmoodreza Jahanseir, and Donald R. Sheehy
SOCG: Symposium on Computational Geometry (Multimedia Session) 2015
Over the last few years, there have been several approaches to building sparser complexes that still give good approximations to the persistent homology. In this video, we have illustrated a geometric perspective on sparse filtrations that leads to simpler proofs, more general theorems, and a more visual explanation. We hope that as these techniques become easier to understand, they will also become easier to use.
Visualizing Sparse Filtrations from Don Sheehy on Vimeo.
@inproceedings{cavanna15visualizing,
Author = {Nicholas J. Cavanna and Mahmoodreza Jahanseir and Donald R. Sheehy},
Booktitle = {Proceedings of the 31st International Symposium on Computational Geometry},
Title = {Visualizing Sparse Filtrations},
Year = {2015}}