3D Shape Description and matching based on properties of real functions

This tutorial attempts to formalize a variety of methods for 3D shape matching in an abstract conceptual framework, that distinguishes among the three main components of a shape matching system (i.e. shape analysis, description, and comparison). The goal is to facilitate the assessment of the properties of the various methods at different levels. More precisely, we will deal with 3D shape comparison tools based on the analysis of quantitative geometric properties provided by a real function defined on the surface representing the 3D object.