This lecture covers a variety of methods for  shape analysis and retrieval that are characterized by the use of a real-valued function defined on the shape to derive its signature.

Shape-from-function methods are discussed following a framework that distinguishes among the three main components of this class of methods: shape analysis, via the application of the function; shape description, via the construction of a signature; shape comparison, via the definition of a distance measure.

The lecture will focus on three shape-from-function methods: Reeb graphs, size functions, persistent homology.

This course will have Claudia Landi as lecturer.