Dottorato in Informatica (ultimo ciclo attivato 28° - anno 2013)

Corso a esaurimento (attivi gli anni successivi al primo)

Doctoral Class on Modern Mathematics for Contemporary Sound Modeling

SEPT. 28 -- 30 2004 NOV. 18 2004 DEC. 16 2004

Federico Fontana , Giandomenico Orlandi , Davide Rocchesso

Cicli in cui è offerta

17° ciclo
18° ciclo
19° ciclo


and Image Processing

September. 28 - 30 , November 2004
Organized by the Vision, Image Processing and Sound Laboratory
Department of Computer Science, University of Verona, Italy in collaboration with Sense-to-Sound, Sound-to-Sense (


1. Tuesday, sept. 28, 14.00 -- 17.00 Giandomenico Orlandi (Univ. Verona): Mathematical Preliminaries.
Basic ideas in calculus, topology, differential geometry, and variational calculus.

2. Tuesday, sept. 28, 17.00 SEMINAR: Georg Essl (Medialab Europe, Dublin) Topological Ideas in Sound Synthesis.
How does a traffic roundabout, a detour and a traffic jam relate to sound synthesis? Why is this like gluing together a few rubber bands? In this seminar I hope to describe ideas of topology and how they can be translated into ideas to create structures for sound synthesis. By emphasizing the notion of periodicity and coincidence the topology of street layout can be turned into a sounding structure. We will illustrate how some of these ideas relate to sound generated by physical structures and how it is potentially different.

3. Wednesday, sept. 29, 9.00 -- 12.00 Georg Essl (Medialab Europe, Dublin): Topology and Dynamical Systems.
The wave equation in 1 and 2 dimensions. Geometric optics. Rays, eikonal, orbits, billiards, caustics, short wave asymptotics.

4. Wednesday, sept. 29, 14.00 -- 17.00 Georg Essl (Medialab Europe, Dublin): Geometry of Wave Phenomena
Rays and Fronts. Huygens' principle in PDEs in 1, 2, and 3 dimensions.Plane curves and fronts: singularities, invariants. Wave fronts: reflections, interactions, caustics.

5. Thursday, sept. 30, 9.00 -- 12.00 Several Presenters coordinated by Davide Rocchesso (Univ. Verona): Applications in Sound Processing.
Physics- and Geometry-based Sound Modeling. Experiences and Perspectives.

6. December 16 2004, 8.30 -- 12.30 Pietro Polotti (Univ. Verona): From the Atom of Hydrogen to mp3.
Quantum mechanics and orthonormal and complete sets of functions. The hydrogen atom and Legendre, Laguerre, and Bessel functions. Fourier, Wavelet, and Discrete Cosien transforms. Applications in coding and compression.

7. December 16 2004, 14.00 -- 16.00 Matthias Rath (Univ. Padova): Modal Synthesis.
Derivation, implementation, and practice of the modal description for vibrating solid objects.

8. December 16 2004, 16.00 -- 18.00 Federico Fontana (Univ. Verona): Boundary Reflection of Acoustics Waves.
Fundamentals of acoustics wave reflection. Discrete time and space modeling of reflection phenomena..

Course Fees



Doctoral students willing to get a credit from this class should attend all the 20 hours and return an assignment that will be handled via email.

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