Cubical Ripser: Software for computing persistent homology of image and volume data

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2004

Earlier work this paper cites.

A. Garin, T. Heiss, K. Maggs, B. Bleile, and V. Robins, Duality in Persistent Homology of Images, the extended abstract for the SoCG Young Researchers Forum 2020, arXiv:2005.04597v2

Original

2005

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G. Carlsson, Topology and data, Bulletin of the American Mathematical Society 46(2), 255–308, 2009

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2010

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V. de Silva, D. Morozov, and M. Vejdemo-Johansson, Dualities in persistent (co)homology, Inverse Problems 27(12):124003+, 2011

2011

Earlier work this paper cites.

U. Bauer, M. Kerber, and J. Reininghaus, Distributed computation of persistent homology, Proceedings of the Sixteenth Workshop on Algorithm Engineering and Experiments (ALENEX), 2014. Codes available at https://github.com/DIPHA/dipha

2014

Earlier work this paper cites.

S. van der Walt, J. L. Schönberger, J. Nunez-Iglesias, F. Boulogne, J. D. Warner, N. Yager, E. Gouillart, T. Yu, and the Scikit-Image contributors, Scikit-Image: Image processing in Python. PeerJ 2:e453, 2014

2014

Cited alongside, same era.

Y. Hiraoka, T. Nakamura, A. Hirata, E. G. Escolar, K. Matsue, and Y. Nishiura, Hierarchical structures of amorphous solids characterized by persistent homology, PNAS 113 (26), 7035–7040, 2016

2016

Cited alongside, same era.

H. Adams, T. Emerson, M. Kirby, R. Neville, C. Peterson, P. Shipman, S. Chepushtanova, E. Hanson, F. Motta, and L. Ziegelmeier, Persistence images: a stable vector representation of persistent homology, J. Mach. Learn. Res. 18, 1–35, 2017

2017

Cited alongside, same era.

C. Hofer, R. Kwitt, M. Niethammer, and A. Uhl, Deep Learning with Topological Signatures, Advances in Neural Information Processing Systems 30 (NIPS2017), 2017

2017

Cited alongside, same era.

N. Carrara, CubicalRipser2D (modified), https://github.com/infophysics/CubicalRipser2D , 2018

2018

Later among the works it cites.

U. Bauer, Ripser: efficient computation of Vietoris-Rips persistence barcodes, preprint, arXiv:1908.02518, 2019

Original

2019

Later among the works it cites.

T. Sudo, CubicalRipser - A calculator of the persistent homologies of cubical complexes and elliptic α \alpha complexes -, Master’s Thesis, Meiji University, 2019

2019

Later among the works it cites.

M. R. McGuirl, A. Volkening, and B. Sandstede, Topological data analysis of zebrafish patterns, PNAS 117 (10) 5113–5124, 2020

2020

Closest in time.

P. Virtanen et al., SciPy 1.0: Fundamental Algorithms for Scientific Computing in Python, Nature Methods 17, 261–272, 2020

2020

Closest in time.