# NUMERICAL METHODS FOR DESIGN

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Versione italiana
2016/2017
Teacher
LORENZO PARESCHI
Credits
6
Didactic period
Primo Semestre
SSD
MAT/08

#### Training objectives

The course aims to provide the foundations for the knowledge of basic numerical techniques in computer graphics. To this goal in the first part of the course we will cover topics in basic mathematics related to differential calculus, linear algebra and numerical methods while the second part will delve into the basic algorithms aimed at representation of curves, surfaces and images.

None

#### Course programme

Algorithms and computers.
Computational software.
Floating point numbers.
Elements of linear algebra.
Images and matrices.
Gaussian elimination and applications.
Geometric transformations in 2D and 3D.
Polynomial functions. Splines and interpolation.
Computer graphics. Bezier curves and surfaces.
Approximation of data and functions. Least squares.
Derivatives of functions. Hermite interpolation.

#### Didactic methods

Theoretical lectures and tutorials through the use of video projector and blackboard.

#### Learning assessment procedures

During the course two intermediate tests or a single written exam during the exam sessions. The grade of the written part must be integrated with the grade obtained in the oral part.

-Type A oral exam (grade larger or equal to 17.5). Two written answers out of six questions proposed. If positive it will confirm the grade obtained in the written part with a maximum increment of 10%. If negative the exam is not sufficient and also the written part must be repeated.

-Type B oral exam (grade larger or equal to 14.5). A single oral exam on the blackboard with two or three questions. If positive it will confirm the grade obtained in the written part with a maximum increment of 30%. If negative the exam is not sufficient and also the written part must be repeated.

#### Reference texts

-Teacher's handouts
-Naldi, Pareschi, Russo, Introduzione al calcolo scientifico, Mc-Graw Hill, 2003