3 citations · 3 across the 1 of their papers we have counts for
8 papers
SHREC 2021: Retrieval and classification of protein surfaces equipped with physical and chemical properties
Andrea Raffo, Ulderico Fugacci, Silvia Biasotti +21
This paper presents the methods that have participated in the SHREC 2021 contest on retrieval and classification of protein surfaces on the basis of their geometry and physicochemi…
On the notion of weak isometry for finite metric spaces
Alessandro De Gregorio, Ulderico Fugacci, Facundo Memoli +1
Finite metric spaces are the object of study in many data analysis problems. We examine the concept of weak isometry between finite metric spaces, in order to analyse properties of…
Homological Scaffold via Minimal Homology Bases
Marco Guerra, Alessandro De Gregorio, Ulderico Fugacci +2
The homological scaffold leverages persistent homology to construct a topologically sound summary of a weighted network. However, its crucial dependency on the choice of representa…
Critical Sets of PL and Discrete Morse Theory: a Correspondence
Ulderico Fugacci, Claudia Landi, Hanife Varlı
Piecewise-linear (PL) Morse theory and discrete Morse theory are used in shape analysis tasks to investigate the topological features of discretized spaces. In spite of their commo…
Topology-Preserving Terrain Simplification
Ulderico Fugacci, Michael Kerber, Hugo Manet
We give necessary and sufficient criteria for elementary operations in a two-dimensional terrain to preserve the persistent homology induced by the height function. These operation…
Chunk Reduction for Multi-Parameter Persistent Homology
Ulderico Fugacci, Michael Kerber
The extension of persistent homology to multi-parameter setups is an algorithmic challenge. Since most computation tasks scale badly with the size of the input complex, an importan…