S. Biasotti, A. Cerri, P. Frosini, and D. Giorgi, A new algorithm for computing the 2-dimensional matching distance between size functions, Pattern Recognition Letters, vol.32, issue.14, pp.1735-1746, 2011.
DOI : 10.1016/j.patrec.2011.07.014

M. Paleo and . Spagnuolo, Describing shapes by geometrical-topological properties of real functions, ACM Computing Surveys, vol.40, issue.12, pp.1-1287, 2008.

G. Carlsson, . Topology, . Data, . Bull, and . Amer, Topology and data, Bulletin of the American Mathematical Society, vol.46, issue.2, pp.255-308, 2009.
DOI : 10.1090/S0273-0979-09-01249-X

G. Carlsson and A. Zomorodian, The Theory of Multidimensional Persistence, Discrete & Computational Geometry, vol.33, issue.2, pp.71-93, 2009.
DOI : 10.1017/CBO9781139644136

A. Cerri, B. D. Fabio, M. Ferri, P. Frosini, and C. Landi, Betti numbers in multidimensional persistent homology are stable functions, Betti numbers in multidimensional persistent homology are stable functions, pp.1543-1557, 2013.
DOI : 10.1007/s002000100078

H. Edelsbrunner and D. Morozov, Persistent Homology: Theory and Practice, European Congress of Mathematics, pp.31-50, 2013.
DOI : 10.4171/120-1/3
URL : http://www.mrzv.org/publications/persistent-homology-theory-applications/ecm/

H. Edelsbrunner and J. L. Harer, Persistent homology???a survey, Contemp. Math, vol.453, pp.257-282, 2008.
DOI : 10.1090/conm/453/08802

H. Edelsbrunner, J. L. Harer, and C. Topology, An introduction, 2010.

P. Frosini, -invariant persistent homology, Mathematical Methods in the Applied Sciences, vol.34, issue.1, pp.1190-1199, 2015.
DOI : 10.1016/j.patrec.2012.10.015

P. Frosini, Towards an observer-oriented theory of shape comparison, Proceedings of the 8th Eurographics Workshop on 3D Object Retrieval, pp.5-8, 2016.

P. Frosini and G. , Combining Persistent Homology and Invariance Groups for Shape Comparison, Discrete & Computational Geometry, vol.70, issue.3, pp.373-409, 2016.
DOI : 10.1007/BF00200823
URL : http://arxiv.org/pdf/1312.7219