-
1
-
-
85018117401
-
-
Bauer, U., Kerber, M., Reininghaus, J.: PHAT. https://code.google.com/p/phat/ (2013)
-
-
-
-
2
-
-
84937390778
-
Clear and compress: computing persistent homology in chunks
-
Bauer, U., Kerber, M., Reininghaus, J.: Clear and compress: computing persistent homology in chunks. In: Topological Methods in Data Analysis and Visualization III, pp. 103–117 (2014)
-
(2014)
Topological Methods in Data Analysis and Visualization III
, pp. 103-117
-
-
Bauer, U.1
Kerber, M.2
Reininghaus, J.3
-
3
-
-
84905861015
-
PHAT—persistent homology algorithms toolbox
-
Bauer, U., Kerber, M., Reininghaus, J., Wagner, H.: PHAT—persistent homology algorithms toolbox. In: Mathematical Software—ICMS 2014—4th International Congress, Seoul, South Korea, August 5–9, 2014. Proceedings, pp. 137–143 (2014)
-
(2014)
Mathematical Software—ICMS 2014—4th International Congress, Seoul, South Korea, August 5–9, 2014. Proceedings
, pp. 137-143
-
-
Bauer, U.1
Kerber, M.2
Reininghaus, J.3
Wagner, H.4
-
4
-
-
84901520703
-
The simplex tree: an efficient data structure for general simplicial complexes
-
Boissonnat, J.-D., Maria, C.: The simplex tree: an efficient data structure for general simplicial complexes. Algorithmica 70(3), 406–427 (2014)
-
(2014)
Algorithmica
, vol.70
, Issue.3
, pp. 406-427
-
-
Boissonnat, J.-D.1
Maria, C.2
-
5
-
-
84863084755
-
Annotating simplices with a homology basis and its applications
-
Busaryev, O., Cabello, S., Chen, C., Dey, T.K., Wang, Y.: Annotating simplices with a homology basis and its applications. In: SWAT, pp. 189–200 (2012)
-
(2012)
SWAT
, pp. 189-200
-
-
Busaryev, O.1
Cabello, S.2
Chen, C.3
Dey, T.K.4
Wang, Y.5
-
7
-
-
84992504901
-
An output-sensitive algorithm for persistent homology
-
Chen, C., Kerber, M.: An output-sensitive algorithm for persistent homology. Comput. Geom. 46(4), 435–447 (2013)
-
(2013)
Comput. Geom.
, vol.46
, Issue.4
, pp. 435-447
-
-
Chen, C.1
Kerber, M.2
-
8
-
-
33846839317
-
Stability of persistence diagrams
-
Cohen-Steiner, D., Edelsbrunner, H., Harer, J.: Stability of persistence diagrams. Discrete Comput. Geom. 37(1), 103–120 (2007)
-
(2007)
Discrete Comput. Geom.
, vol.37
, Issue.1
, pp. 103-120
-
-
Cohen-Steiner, D.1
Edelsbrunner, H.2
Harer, J.3
-
9
-
-
85018122590
-
Dualities in persistent (co)homology
-
de Silva, V., Morozov, D., Vejdemo-Johansson, M.: Dualities in persistent (co)homology. CoRR arXiv:1107.5665 (2011)
-
(2011)
CoRR arXiv
, vol.1107
, pp. 5665
-
-
de Silva, V.1
Morozov, D.2
Vejdemo-Johansson, M.3
-
10
-
-
79954629188
-
Persistent cohomology and circular coordinates
-
de Silva, V., Morozov, D., Vejdemo-Johansson, M.: Persistent cohomology and circular coordinates. Discrete Comput. Geom. 45(4), 737–759 (2011)
-
(2011)
Discrete Comput. Geom.
, vol.45
, Issue.4
, pp. 737-759
-
-
de Silva, V.1
Morozov, D.2
Vejdemo-Johansson, M.3
-
11
-
-
84904435687
-
Computing topological persistence for simplicial maps
-
Dey, T.K., Fan, F., Wang, Y.: Computing topological persistence for simplicial maps. In: Symposium on Computational Geometry, p. 345 (2014)
-
(2014)
Symposium on Computational Geometry
, pp. 345
-
-
Dey, T.K.1
Fan, F.2
Wang, Y.3
-
13
-
-
0036883297
-
Topological persistence and simplification
-
Edelsbrunner, H., Letscher, D., Zomorodian, A.: Topological persistence and simplification. Discrete Comput. Geom. 28(4), 511–533 (2002)
-
(2002)
Discrete Comput. Geom.
, vol.28
, Issue.4
, pp. 511-533
-
-
Edelsbrunner, H.1
Letscher, D.2
Zomorodian, A.3
-
14
-
-
85018120597
-
-
Maria, C.: Gudhi, Simplicial Complexes and Persistent Homology Packages. https://project.inria.fr/gudhi/software/
-
-
-
-
15
-
-
84905868442
-
The Gudhi library: Simplicial complexes and persistent homology
-
Maria, C., Boissonnat, J.-D., Glisse, M., Yvinec, M.: The Gudhi library: Simplicial complexes and persistent homology. In: International Congress on Mathematical Software, pp. 167–174 (2014)
-
(2014)
International Congress on Mathematical Software
, pp. 167-174
-
-
Maria, C.1
Boissonnat, J.-D.2
Glisse, M.3
Yvinec, M.4
-
17
-
-
85018113160
-
-
Morozov, D.: Dionysus. http://www.mrzv.org/software/dionysus/
-
-
-
-
18
-
-
78149252299
-
Persistence algorithm takes cubic time in worst case
-
Department of Computer Science, Duke University
-
Morozov, D.: Persistence algorithm takes cubic time in worst case. In: BioGeometry News, Department of Computer Science, Duke University (2005)
-
(2005)
BioGeometry News
-
-
Morozov, D.1
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