Natural pseudodistances between closed manifolds

By Pietro Donatini, Patrizio Frosini. 2004

51 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/61035d58df413b6617b98024747b882e918188bd

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Andrea Cerri
2. Michael M. Bronstein
3. A. Bronstein
4. Silvia Biasotti
5. Massimo Ferri

In Geometry and Topology

1. A. Bronstein
2. Michael M. Bronstein
3. Andrea Cerri
4. Silvia Biasotti

In Mathematical Physics

1. Andrea Cerri
2. Michael M. Bronstein
3. Silvia Biasotti
4. A. Bronstein

Citations in the corpus

• Recent Trends, Applications, and Perspectives in 3D Shape Similarity Assessment (2016, methodology): “We refer in particular to the minimum-distortion shape embeddings, the Gromov-Hassdorff distance, the functional maps and the natural pseudo-distance frameworks [EK03, MS05, OBCS*12, DF04b].”
• Betti numbers in multidimensional persistent homology are stable functions (2013, background): “The natural-pseudo distance, introduced in [16] and further studied in [17, 18], is a dissimilarity measure for topological spaces endowed with vector-valued continuous functions that is intrinsically hard to compute, motivating the interest in methods for its estimation.”