- 4MMMG

Goal(s)

This course aims to introduce students to the fundamental principles of geometric modelling, with a focus on the parametric representation of curves. It explores Bézier curves and B-splines in detail, which are essential tools in computer-aided design (CAD) and for the smooth representation of data. Students will learn to apply techniques of geometric design, interpolation and approximation to create and refine complex shapes. These methods have major applications in a variety of fields such as engineering, 3D animation, virtual reality, industrial design, prototyping and 3D printing.

Responsible(s)

Stefanie HAHMANN

Content(s)

A major group project provides an opportunity to apply the algorithms covered in class.

(1) Basic concepts of AFFINE GEOMETRY and DIFFERENTIAL GEOMETRY
(2) CURVES IN GEOMETRIC DESIGN
(3) SURFACES IN GEOMETRIC DESIGN
(4) INTERPOLATION and SPLINE APPROXIMATION
(5) APPLICATIONS: - Freeform editors (Adobe Illustrator, Inkscape, etc.) - Robotics - 2D animation - Design from sketches and 3D sketching - Shape reconstruction

Polynomial interpolation, basic concepts of linear algebra.
For the project, you are free to choose your own programming language.

Test

Evaluation : 34% of Projet (évaluation en continu et sur le rendu) + soutenance and 66% of Examen écrit (2h)

Resit : 34% of Projet (évaluation en continu et sur le rendu) + soutenance (reported score) and 66% of Examen écrit (2h)

CONTRÔLE CONTINU = CC
Type d'évaluation : 1 project on computer + project presentation

SESSION NORMALE :
a written examination (E1)
Duration : 2h
Documents authorized : one double-sided handwritten sheet of A4 paper
Documents forbidden : books, photocopies of books.
Equipment

• Equipment authorized : nothing
• Equipment forbidden : all electronic material.
  COMMENTS : Commentaires :
  Note UE (session normale) = (CC +2 * E1)

SESSION DE RATTRAPAGE (catch-up):
a written examination (E2)
Duration : 2h
Documents authorized : one double-sided handwritten sheet of A4 paper
Documents forbidden : books, photocopies of books.
Equipment

• Equipment authorized : nothing
• Equipment forbidden : all electronic devices.
  COMMENTS:
  Note UE (catch-up session) = (CC + 2 * E2)

Calendar

The course exists in the following branches:

• Curriculum - Core curriculum - Semester 7

Additional Information

Course ID : 4MMMG
Course language(s):

You can find this course among all other courses.

Bibliography

• • G. Farin: Courbes et Surfaces pour la CGAO, Masson 1992
  • G. FARIN: Curves and Surfaces for CAGD, a practical guide, Academic Press, 1997
  • J. HOSCHEK, D. LASSER: Fundamentals of Computer Aided Geometric Design, AK Peters 1993.
  • H. Prautzsch, W. Boehm, M. Paluszny: Bezier and B-spline technique, Springer 2002.