SURFACE PARAMETRIZATION - (from 06/07/2019 to 07/07/2019)

Length: 15 hours - 3 cfu

 

Abstract

 
The Graduate School on Geometry Processing, which precedes the international Symposium on Geometry Processing (SGP2019),
offers a sequence of eight lectures, introducing various research topics in Geometry Processing.
Each lecture is held by an would class expert in the respective topic.
At the end of the schools, students will be offered to give one exam, in the form a short seminar held on one or a few research paper on of the covered topic.
The exact topic of the seminar is to be agreed, during the school, with the respective lecturer.
The seminar will be organized with Prof Marco Tarini (the conference chair). https://sgp2019.di.unimi.it/graduate_school.html

 

A function mapping a two-manifold surface embedded in 3D (such as the boundary of a 3D object) into a portion of the plane is called a ''parametrization" of that surface.

It is a basic building block for many Geometry Processing tasks, and has several direct applications in Computer Graphics, for example in rendering (most notably Texture Mapping), reverse engineering (semiregular remeshing, aka "retopology"), mesh compression, animation (morphing), fitting (e.g. reverse subdivision surfaces or NURBS), and others.

This course covers the basics of the analysis and the construction of a parametrization for a given surface.

 

Dates & Venue

06/07/2019  Aula Magna - Via Celoria 18 - 20133 Milano

09:00-17:45

 07/07/2019  Aula Magna - Via Celoria 18 - 20133 Milano 09:00-17:45

 

Lecturer:

Prof. Marco Tarini, Prof.ssa Nina Amenta, Prof. Justin Solomon, Dr. Giuseppe Patane', Dr.ssa Anastasia Dubrovina, Dr. Giorgos Bouritsas, Dr.ssa Danielle Ezuz, Dr. Michael Rabinavich, Prof.ssa Olga Sorkine-Hornung,  Dr. Marco Attene, Prof. Jun Wu 

Prof. Marco Tarini

Advanced topics in signal processing - (from 03/06/2019 to 07/06/2019)

Length : 10 hours - 2 cfu


Abstract

The course has the aim of presenting advanced topics that, while rooted in digital signal processing, might be of help in different research contexts.

The main topics covered will be:

(i) Maximum entropy modelling of a time series (with a short review of stochastic processes);

(ii) Scaling and long memory (fractal) procecess.

 

Suggested Readings

Basic knowledge in statistics. Previous exposure to digital signal processing a plus.

 

Dates & Venue

Giorni Aula Orario
03/06/2019  Meeting Room 3rd floor - Via Celoria 18 - 20133 Milano

11:30-13:30

 05/06/2019 Lab Laurea Magistrale 3rd floor - Via Celoria 18 - 20133 Milano 11:30-13:30

14:30-16:30

 07/06/2019  Meeting Room 3rd floor - Via Celoria 18 - 20133 Milano

11:30-13:30

14:30-16:30

Lecturer

Prof. Roberto Sassi

Assessor

Prof. Roberto Sassi

 

Introduction to Machine Scheduling - (from 08/04/2019 to 11/04/2019)

Length: 15 hours - 3 cfu

 

Abstract

l corso di dottorato qui proposto ha l’obiettivo di illustrare modelli, proprietà e conseguenti algoritmi sia di ottimizzazione che di approssimazione garantita per una classe di problemi di ottimizzazione combinatoria molto studiata in letteratura ma ancora molto ricca di problemi aperti, quella dei problemi di scheduling. I problemi di scheduling si pongono ogniqualvolta sia necessario ordinare nel tempo operazioni (“jobs”) che non si possono sovrapporre, utilizzando un numero limitato di risorse (“macchine”).                                                                                     

The PhD program proposed here aims to illustrate models, properties and consequent algorithms of both optimization and guaranteed approximation for a class of combinatorial optimization problems that is very studied in literature but still very rich in open problems, that of scheduling problems . Scheduling problems arise whenever it is necessary to order operations ("jobs") that can not be superimposed over time, using a limited number of resources ("machines").

Dates & Venue

Giorni Aula Orario
 08/04/2019  Meeting Room 3rd floor - Via Celoria 18 - 20133 Milano 15:00-18:00
09 /04/2019  Meeting Room 3rd floor - Via Celoria 18 - 20133 Milano 09:30-13:30
10/04/2019 Meeting Room 3rd floor - Via Celoria 18 - 20133 Milano 09:30-13:30
11/04/2019 Meeting Room 3rd floor - Via Celoria 18 - 20133 Milano 09:30-13:30

 

Lecturer:

Prof. Alberto Ceselli - Dipartimento di Informatica

Prof.ssa Gaia Nicosia - Dipartimento di Ingegneria - Università Roma Tre

Prof. Andrea Pacifici - Dipartimento di Ingegneria Civile e Ingegneria Informatica - Università di Roma Tor Vergata

 

Assessor:

Prof. Alberto Ceselli 

Modeling, analysis and optimization of networks (part 1: Flows) - (from 21/03/2019 to 04/04/2019)

Length: 15 hours - 3 cfu

 

Abstract

Networks are pervasive. Certainly our society heavily relies on computer networks, whose complexity scaled in a few decades from simple links among PCs in the same building to the rich structure of the Internet, in which heterogeneous nodes (ranging from datacenters to smartphones) connect by means of communication channels of diverse nature (cables, fiber optics, radio signals).
Indeed, this is just an example, as networks appear in many others - less obvious - contexts, like the modeling of social relations, the regulatory structure of genes, interactions in molecular dynamics, human transportation and distribution systems, just to name a few.

The PhD course will cover the issues of (a) understanding, extracting and exploiting network structures in various domains (b) modeling networks by means of mathematics (c) solving complex decision problems, and performing advanced analyses, by means of computer science methodologies, that is either selecting suitable existing algorithms and tools, or devising new ones.

The course is composed by two parts, the first focusing on routing, and especially on modeling and analyzing by means of network flows, the second covering the main foundational and algorithmic issues in optimal location and network design.

This year's edition will cover part 1.

 

 

Dates & Venue

Giorni Aula Orario
21/03/2019  Meeting Room 3rd floor - Via Celoria 18 - 20133 Milano

10:30-13:00

14:00-16:30

28 /03/2019  Meeting Room 3rd floor - Via Celoria 18 - 20133 Milano

10:30-13:00

14:00-16:30

04/04/2019 Meeting Room 3rd floor - Via Celoria 18 - 20133 Milano

10:30-13:00

14:00-16:30

 

Lecturer:

Prof. Alberto Ceselli 

Assessor:

Prof. Alberto Ceselli 

Circuit modeling and applications to biology, security and new technologies - (from 04/03/2019 to 12/03/2019)

Length: 15 hours - 3 cfu

 

Abstract

The Ph.D. course will show some modeling techniques, algorithms, and data structures typically exploited
in circuit design. Whereas these methods are widely used in logic synthesis and formal verification
contexts, their use is recently extended in many other computer science areas. The aim of this course is to
provide the students with the experience for choosing logic-based tools for handling problems in their own
research area. In particular, the course will cover SAT based techniques, data structures for manipulation of
Boolean functions such as BDDs, and Boolean modelling through Boolean relations. Some examples will be
provided in classical circuit design, in BioCAD, in the design for new technologies, and in the security area.

 

Dates & Venue

Giorni Aula Orario
04/03/2019  Meeting Room 3rd floor - Via Celoria 18 - 20133 Milano

10:30-13:00

14:00-16:30

11 /03/2019  Meeting Room 3rd floor - Via Celoria 18 - 20133 Milano

10:30-13:00

14:00-16:30

12/04/2019 Meeting Room 3rd floor - Via Celoria 18 - 20133 Milano

10:30-13:30

14:00-17:00

 

Lecturer:

Prof.ssa Valentina Ciriani, Dr.ssa Gabriella Trucco

Assessor:

Prof.ssa Valentina Ciriani

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