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Copyright, references and citation info¶

Copyright¶

The authors and copyright holders of Python Mapper are Daniel Müllner and Aravindakshan Babu. The authors can be contacted in the following way:

Daniel Müllner: http://www.danifold.net

Aravindakshan Babu: anounceofpractice@hotmail.com

The Python Mapper software is distributed under the GNU General Public License v3. The license text can be found here: GPLv3

References¶

The Mapper algorithm was invented by Gurjeet Singh, Facundo Mémoli and Gunnar Carlsson. It is presented in the paper [R1].

The point clouds in the exampleshapes directory were converted from mesh data which was published by Robert W. Sumner and Jovan Popović [R8]. The mesh data was originally published along with the paper [R7].

Citation info¶

To cite the original Mapper algorithm:

[R1]Gurjeet Singh, Facundo Mémoli and Gunnar Carlsson, Topological Methods for the Analysis of High Dimensional Data Sets and 3D Object Recognition, Eurographics Symposium on Point Based Graphics, European Association for Computer Graphics, 2007, pp. 91–100, DOI 10.2312/SPBG/SPBG07/091-100

To cite the Python Mapper software:

[R2]Daniel Müllner and Aravindakshan Babu, Python Mapper: An open-source toolchain for data exploration, analysis and visualization, 2013, URL http://danifold.net/mapper

To cite the scale graph algorithm:

[R3]Daniel Müllner, Gurjeet Singh, Facundo Mémoli and Gunnar Carlsson, Consistent scale selection for exploratory visualization and analysis of data sets, manuscript in preparation, 2013

More references, collected from the Python Mapper documentation

[R4]Frédéric Chazal, David Cohen-Steiner and Quentin Mérigot, Geometric Inference for Measures based on Distance Functions, INRIA Rapport de recherche 6930 Second version, 2010, http://hal.inria.fr/inria-00383685/.
[R5]Gunnar Carlsson, Topology and Data, Bull. Amer. Math. Soc. 46 (2009), 255–308
[R6]P. Y. Lum, G. Singh, A. Lehman, T. Ishkanov, M. Vejdemo-Johansson, M. Alagappan, J. Carlsson and G. Carlsson, Extracting insights from the shape of complex data using topology, Sci. Rep., 3 (2013), DOI 10.1038/srep01236
[R7]Robert W. Sumner and Jovan Popović, Deformation Transfer for Triangle Meshes, ACM Transactions on Graphics (TOG) – Proceedings of ACM SIGGRAPH 2004, 23 (2004), no. 3, pp. 399–405, DOI 10.1145/1015706.1015736.
[R8]Robert W. Sumner, personal web page: http://people.csail.mit.edu/sumner/research/deftransfer/data.html
[R9]Hao Zhang, Oliver van Kaick and Ramsay Dyer, Spectral Mesh Processing, Computer Graphics Forum, 29 (2010), no. 6, pp. 1865–1894, DOI 10.1111/j.1467-8659.2010.01655.x.

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© Copyright 2011–2015, Daniel Müllner and Aravindakshan Babu. Last updated on April 19, 2017.