In this talk, we will give an overview of the methods developed at CNR-IMATI to support reasoning on the similarity among 3D digital objects. Geometry, structure and semantics are compared and analysed adopting a topological approach where important shape features are modelled, wherever possible, as critical points of real functions, following the Morse theory as mathematical context. Examples of complex and realistic scenarios will be discussed, with perspectives on future challenges.

This presentation is part of Minisymposium “MS16 - Topological Image Analysis: Methods, Algorithms, Applications (3 parts)”
organized by: Patrizio Frosini (University of Bologna) , Massimo Ferri (University of Bologna) , Claudia Landi (University of Modena and Reggio Emilia) .

Authors:

Michela Spagnuolo (IMATI-CNR)

Bianca Falcidieno (IMATI-CNR)

Silvia Biasotti (IMATI - CNR )

Keywords:

computational topology, computer graphics, shape similarity