Zobrazeno 1 - 10
of 46
pro vyhledávání: '"Di Fabio, Barbara"'
Can music be represented as a meaningful geometric and topological object? In this paper, we propose a strategy to describe some music features as a polyhedral surface obtained by a simplicial interpretation of the \textit{Tonnetz}. The \textit{Tonne
Externí odkaz:
http://arxiv.org/abs/1602.00739
Autor:
Di Fabio, Barbara, Ferri, Massimo
The natural pseudo-distance of spaces endowed with filtering functions is precious for shape classification and retrieval; its optimal estimate coming from persistence diagrams is the bottleneck distance, which unfortunately suffers from combinatoria
Externí odkaz:
http://arxiv.org/abs/1505.01335
Autor:
Di Fabio, Barbara, Landi, Claudia
Reeb graphs are structural descriptors that capture shape properties of a topological space from the perspective of a chosen function. In this work we define a combinatorial metric for Reeb graphs of orientable surfaces in terms of the cost necessary
Externí odkaz:
http://arxiv.org/abs/1411.1544
Autor:
Di Fabio, Barbara, Frosini, Patrizio
In Persistent Homology and Topology, filtrations are usually given by introducing an ordered collection of sets or a continuous function from a topological space to $\R^n$. A natural question arises, whether these approaches are equivalent or not. In
Externí odkaz:
http://arxiv.org/abs/1304.1268
Autor:
Di Fabio, Barbara, Landi, Claudia
Reeb graphs provide a method for studying the shape of a manifold by encoding the evolution and arrangement of level sets of a simple Morse function defined on the manifold. Since their introduction in computer graphics they have been gaining popular
Externí odkaz:
http://arxiv.org/abs/1003.4610
Multidimensional persistence studies topological features of shapes by analyzing the lower level sets of vector-valued functions. The rank invariant completely determines the multidimensional analogue of persistent homology groups. We prove that mult
Externí odkaz:
http://arxiv.org/abs/0908.0064
Autor:
Cerri, Andrea, Di Fabio, Barbara
The concept of natural pseudo-distance has proven to be a powerful tool for measuring the dissimilarity between topological spaces endowed with continuous real-valued functions. Roughly speaking, the natural pseudo-distance is defined as the infimum
Externí odkaz:
http://arxiv.org/abs/0906.4648
Autor:
Di Fabio, Barbara, Landi, Claudia
In Computer Vision the ability to recognize objects in the presence of occlusions is a necessary requirement for any shape representation method. In this paper we investigate how the size function of a shape changes when a portion of the shape is occ
Externí odkaz:
http://arxiv.org/abs/0807.0796
Publikováno v:
In Computer Vision and Image Understanding April 2014 121:43-56
