Betti numbers in multidimensional persistent homology are stable functions

Čech Type Approach to Computing Homology of Maps

(2010) Marian Mrozek   DISCRETE & COMPUTATIONAL GEOMETRY

Lipschitz Functions Have L p -Stable Persistence

(2010) David Cohen-Steiner et al.   FOUNDATIONS OF COMPUTATIONAL MATHEMATICS

One-dimensional reduction of multidimensional persistent homology

(2010) Francesca Cagliari et al.   PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

Topology and data

(2009) Gunnar Carlsson   BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY

The Theory of Multidimensional Persistence

(2009) Gunnar Carlsson et al.   DISCRETE & COMPUTATIONAL GEOMETRY

Natural pseudo-distances between closed curves

(2009) Pietro Donatini et al.   FORUM MATHEMATICUM

Describing shapes by geometrical-topological properties of real functions

(2008) S. Biasotti et al.   ACM COMPUTING SURVEYS

Natural Pseudo-Distance and Optimal Matching between Reduced Size Functions

(2008) Michele d’Amico et al.   ACTA APPLICANDAE MATHEMATICAE

Multidimensional Size Functions for Shape Comparison

(2008) S. Biasotti et al.   JOURNAL OF MATHEMATICAL IMAGING AND VISION