Title: Geometric-topological tools for shape description
Lecturer: Barbara DI FABIO
Abstract: In shape comparison a widely used scheme is to measure the dissimilarity between signatures associated with each shape rather than matching shapes. In this context, computational topology plays an important role, offering a series of techniques and measures with an extremely high abstraction power. Persistent homology and Reeb graphs provide signatures able to describe shapes from topological and geometrical perspectives, being approaches grounding in the classical Morse Theory. The common idea underlying these methods, indeed, is to perform a topological exploration of the shape according to some quantitative geometric properties provided by a real-valued function defined on the shape and chosen to extract shape features. This seminar provides an overview of these shape descriptors with related comparison methods, their main properties and drawbacks, some of the main theoretical and experimental results, recent developments, open issues and future perspectives.
Biography: Barbara DI FABIO is born in Lanciano (Italy) in 1977. In 2004, she graduated cum laude and, in 2009, received her Ph.D. degree in Mathematics at the University of Bologna with a work on the enhancement of geometrical tools for pattern recognition. Since then, she has been post-doctoral fellow at the excellence centre ARCES ”E. De Castro” (University of Bologna) and at the Department of Mathematics (Prof. Massimo FERRI, University of Bologna). Barbaras main research interests are focused on computational geometry and topology and include problems of shape analysis and understanding with related applications in computer vision, computer graphics and pattern recognition – highly relevant for machine learning and knowledge discovery. She attended several postgraduate schools and workshops, participated in and was author of several communications in national and international scientific conferences. She is author of 9 peer-reviewed papers, 5 proceedings and 1 preprint. She is a referee for several international journals. Since 2005 she has been teaching in undergraduate courses in Engineering and Economics, University of Bologna. At present, supported by an ESF exchange visit grant, she is working with Professor Neza Mramor Kosta at the Faculty of Computer and Information Science, University of Ljubljana.
More Information: http://www.dm.unibo.it/~difabio/