Research Interests

My name is Patrizio Frosini and my research field is Applied Mathematics. I am a researcher in the Group of Vision Mathematics.

I am especially interested in studying metric and topological techniques for Computer Vision. My main interest is Size Theory (and particularly Size Functions). Size Functions are given by a simple mathematical transform that takes a topological space (endowed with a “measuring function”) to a function from the real plane to the natural numbers.

Such a function describe the “shape” of the topological space with respect to the chosen measuring function. Usually the topological space is an image, and size functions turn out to be useful in comparing and recognizing shapes inside the image.

If you want to know something more about Size Functions, you can do it from this point: you will find a short introduction to the subject, references, links and some public domain software.

• Dipartimento di Matematica dell'Università di Bologna
• ARCES - Advanced Research Center on Electronic Systems for Information and Communication Technologies