SubjectsSubjects(version: 945)
Course, academic year 2023/2024
   Login via CAS
Computer geometry II - NMUG302
Title: Počítačová geometrie II
Guaranteed by: Department of Mathematics Education (32-KDM)
Faculty: Faculty of Mathematics and Physics
Actual: from 2021
Semester: summer
E-Credits: 8
Hours per week, examination: summer s.:2/4, C+Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: not taught
Language: Czech
Teaching methods: full-time
Teaching methods: full-time
Guarantor: RNDr. Petra Surynková, Ph.D.
Class: M Bc. DGZV
M Bc. DGZV > Povinné
Classification: Mathematics > Mathematics, Algebra, Differential Equations, Potential Theory, Didactics of Mathematics, Discrete Mathematics, Math. Econ. and Econometrics, External Subjects, Financial and Insurance Math., Functional Analysis, Geometry, General Subjects, , Real and Complex Analysis, Mathematics General, Mathematical Modeling in Physics, Numerical Analysis, Optimization, Probability and Statistics, Topology and Category
Incompatibility : NDGE023, NMTD302
Interchangeability : NDGE023, NMTD302
Is incompatible with: NMTD302, NDGE023
Is interchangeable with: NMTD302, NDGE023
Annotation -
Last update: RNDr. Jakub Staněk, Ph.D. (14.06.2019)
Curves and surfaces of computer graphics and their modeling.
Course completion requirements -
Last update: RNDr. Petra Surynková, Ph.D. (30.04.2020)

Distance examining:

Credit

1. Active participation at online seminars.

2. Submission and presentation (online) of three homework which will be assigned during the semester. The results are added to the exam.

Exam

1. The examination requirements correspond to the syllabus of the subject given in the SIS.

2. The exam has the oral theoretical part (online videoconference).

3. For admission to the exam, it is necessary to present homework (online).

Common practice

Credit

1. Regular attendance at seminars. 3 absences are allowed as the maximum.

2. Active participation at seminars.

3. Submission and presentation of three homework which will be assigned during the semester. The results are added to the exam.

Exam

1. The examination requirements correspond to the syllabus of the subject given in the SIS.

2. The exam has the oral theoretical part.

3. For admission to the exam, it is necessary to present homework.

Literature -
Last update: T_KDM (14.04.2014)
  • G. Farin, J. Hoschek, M. Kim : Handbook of Computer Aided Geometric Design, Elsevier, 2002
  • J. Hoschek, D. Lasser : Fundamentals of Computer Aided Geometric Design, A K Peters, 1993
  • J. Žára, B. Beneš, P. Felkel: Moderní počítačová grafika, Computer Press,1998
  • I. Linkeová, NURBS křivky, Nakladatelství ČVUT, Praha 2007

Requirements to the exam -
Last update: RNDr. Petra Surynková, Ph.D. (30.04.2020)

Distance examining:

The exam is oral via videoconference. The part of the exam is also an exercise in MATLAB environment. The examination requirements correspond to the syllabus of the subject given in the SIS. The part of the grade is the assessment of the presentation.

Common practice:

The exam is oral. The part of the exam is also an exercise in MATLAB environment. The examination requirements correspond to the syllabus of the subject given in the SIS. The part of the grade is the assessment of the presentation.

Syllabus -
Last update: RNDr. Petra Surynková, Ph.D. (14.06.2019)

The method of least squares.

Interpolation, polynomial interpolation.

Curves of computer geometry (parametric curves, Ferguson, Bézier, B-spline, NURBS curves).

Surfaces of computer geometry (parametric surfaces, Bézier, Rational Bézier curves, B-spline and NURBS surfaces).

 
Charles University | Information system of Charles University | http://www.cuni.cz/UKEN-329.html