3 papers
eess.SP2026
Learning Dirac Spectral Transforms for Topological Signals
Leonardo Di Nino, Tiziana Cattai, Sergio Barbarossa +2
The Dirac operator provides a unified framework for processing signals defined over different order topological domains, such as node and edge signals. Its eigenmodes define a spec…
eess.SP2026
Topological Signal Processing for 3D Point Cloud Data
Tiziana Cattai, Stefania Sardellitti, Stefania Colonnese +1
Our goal in this paper is to apply the topological signal processing (TSP) framework to the analysis of 3D Point Clouds (PCs) represented on simplicial complexes. Building on Discr…
eess.SP2025
Physics-Informed Topological Signal Processing for Water Distribution Network Monitoring
Tiziana Cattai, Stefania Sardellitti, Stefania Colonnese +2
Water management is one of the most critical aspects of our society, together with population increase and climate change. Water scarcity requires a better characterization and mon…