D. Attali, M. Glisse, S. Hornus, F. Lazarus, and D. Morozov, Persistencesensitive simplification of functions on surfaces in linear time

P. Bendich, D. Cohen-steiner, H. Edelsbrunner, J. Harer, and D. Morozov, Inferring Local Homology from Sampled Stratified Spaces, 48th Annual IEEE Symposium on Foundations of Computer Science (FOCS'07), pp.536-546, 2007.
DOI : 10.1109/FOCS.2007.45
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.179.3265

S. Biasotti, A. Cerri, P. Frosini, D. Giorgi, and C. Landi, Multidimensional Size Functions for Shape Comparison, Journal of Mathematical Imaging and Vision, vol.70, issue.2, pp.161-179, 2008.
DOI : 10.1007/s10851-008-0096-z

F. Cagliari, B. D. Fabio, and M. Ferri, Title: One-dimensional reduction of multidimensional persistent homology, 2007.

G. Carlsson and A. Zomorodian, The theory of multi-dimensional persistence, Proc. 23rd ACM Sympos, pp.184-193, 2007.

G. Carlsson, A. Zomorodian, A. Collins, and L. Guibas, PERSISTENCE BARCODES FOR SHAPES, International Journal of Shape Modeling, vol.11, issue.02, pp.149-187, 2005.
DOI : 10.1142/S0218654305000761
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.127.766

F. Chazal and D. Cohen-steiner, Geometric Inference. submitted as a book chapter, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00772444

F. Chazal, D. Cohen-steiner, L. J. Guibas, and S. Y. Oudot, The stability of persistence diagrams revisited, INRIA, 2008.

F. Chazal, L. J. Guibas, S. Y. Oudot, and P. Skraba, Analysis of scalar fields over point cloud data Full version available as INRIA research report RR-6576, Proc. 19th ACM-SIAM Sympos. on Discrete Algorithms, 2008.

C. Chen and D. Freedman, Quantifying homology classes, Proc. 25th International Symposium on Theoretical Aspects of Computer Science (STACS), 2008.
URL : https://hal.archives-ouvertes.fr/hal-00256542

D. Cohen-steiner and H. Edelsbrunner, Inequalities for the curvature of curves and surfaces, Proceedings of the twenty-first annual symposium on Computational geometry , SCG '05, pp.272-277, 2005.
DOI : 10.1145/1064092.1064134

D. Cohen-steiner, H. Edelsbrunner, and J. Harer, Stability of persistence diagrams, Proc. 21st ACM Sympos, pp.263-271, 2005.

D. Cohen-steiner, H. Edelsbrunner, and J. Harer, Extending persistence using Poincaré and Lefschetz duality, Found. Comput. Math, 2008.
DOI : 10.1007/s10208-008-9027-z
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.538.5795

D. Cohen-steiner, H. Edelsbrunner, and D. Morozov, Vines and vineyards by updating persistence in linear time, Proceedings of the twenty-second annual symposium on Computational geometry , SCG '06, pp.119-126, 2006.
DOI : 10.1145/1137856.1137877

M. Amico, P. Frosini, and C. Landi, Using matching distance in size theory: A survey, International Journal of Imaging Systems and Technology, vol.70, issue.5, pp.154-161, 2006.
DOI : 10.1002/ima.20076

M. Amico, P. Frosini, and C. Landi, Natural pseudo-distance and optimal matching between reduced size functions, Acta Appl. Math, 2008.

H. Edelsbrunner, J. Harer, and A. Zomorodian, Hierarchical Morse complexes for piecewise linear 2-manifolds, Proc. 17th Annu. ACM Sympos, pp.70-79, 2001.

H. Edelsbrunner, D. Letscher, and A. Zomorodian, Topological Persistence and Simplification, Discrete & Computational Geometry, vol.28, issue.4, pp.511-533, 2002.
DOI : 10.1007/s00454-002-2885-2
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.12.8802

H. Edelsbrunner, D. Morozov, and V. Pascucci, Persistence-sensitive simplification functions on 2-manifolds, Proceedings of the twenty-second annual symposium on Computational geometry , SCG '06, pp.127-134, 2006.
DOI : 10.1145/1137856.1137878

A. Hatcher, Algebraic Topology, 2001.

D. Morozov, Homological Illusions of Persistence and Stability, 2008.

A. Zomorodian and G. Carlsson, Computing Persistent Homology, Discrete & Computational Geometry, vol.33, issue.2, pp.249-274, 2005.
DOI : 10.1007/s00454-004-1146-y
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.10.5064