Computer aided geometric design - 4MMMG6

(1) CURVES IN GEOMETRIC DESIGN :

• Bézier curves : Bernstein polynomials, DeCastejau algorithm and its applications, geometric properties.
• B-spline functions :the B-spline basis, multiplicity of knots, order of continuity, local support.
• B-spline curves : parametric B-splines, control polygon, DeBoor algorithm, knot insertion.
  (2) SURFACES IN GEOMETRIC DESIGN : tensor product and triangular Bézier patches, algorithms.
  (3) SPLINE INTERPOLATION and APPROXIMATION: spline spaces, interpolation by polynomial spline,
  minimization of energy, Least squares approximation, introduction of weights and constraints. Spline approximation, algorithms

polynomial interpolation, elementary notions of linear algebra.

SESSION NORMALE :
a written examination(E1) and a practical exercise(P)
Duration : 2h
Documents authorized : all handwritten documents, dictionary.
Documents forbidden : books, photocopies of books.
Equipment

• Equipment authorized :
• Equipment forbidden : all electronic material.
  Comments :

SESSION DE RATTRAPAGE :
a written examination or an oral examination if number of students < 5 (E2)
Duration : 2h
Documents authorized : all handwritten documents, dictionary.
Documents forbidden : books, photocopies of books.
Equipment

• Equipment authorized :
• Equipment forbidden : all electronic devices.

• • MCC en présentiel **
    CC = 0.3 * TP1 + 0.3 * TP2 + 0.4 * TP3
    Note Matière (session normale) = 0.5 * CC + 0.5 * E1

Note UE (session rattrapage) = 0.5 * CC + 0.5 * E2

E1 = examen session 1
E2 = examen session 2
CC=controle continue (pendant le semestre)
TP = moyenne des TP (pendant le semestre)

Documents autorisés : 2 feuilles manuscrites recto-verso

The course exists in the following branches:

• Curriculum - Math. Modelling, Image & Simulation - Semester 7

Course ID : 4MMMG6
Course language(s):

The course is attached to the following structures:

• Team Image Vision Interaction Multimedia Bioinfo

You can find this course among all other courses.

• • 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.