SubjectsSubjects(version: 945)
Course, academic year 2023/2024
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Computer geometry I - NMUG301
Title: Počítačová geometrie I
Guaranteed by: Department of Mathematics Education (32-KDM)
Faculty: Faculty of Mathematics and Physics
Actual: from 2021
Semester: winter
E-Credits: 5
Hours per week, examination: winter s.:2/2, 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 : NDGE022, NMTD301
Interchangeability : NDGE022, NMTD301
Is incompatible with: NMTD301, NDGE022
Is interchangeable with: NMTD301, NDGE022
Annotation -
Last update: RNDr. Jakub Staněk, Ph.D. (14.06.2019)
Algorithms, analytical expressions of projections, transformations of a plane and a space. The implementation of algorithms.
Course completion requirements -
Last update: RNDr. Petra Surynková, Ph.D. (28.10.2019)

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: RNDr. Petra Surynková, Ph.D. (14.06.2019)
  • 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
  • D. Finn: Geometric Modelling: lecture notes, http://www.rose-hulman.edu/~finn/courses/promo.htm
  • C. K. Shene: Introduction to Computing with Geometry Notes, Michigan Technological University,http://www.cs.mtu.edu/~shene/COURSES/cs3621/NOTES/notes.html
  • Žára, J.a kol.: Počítačová grafika - principy a algoritmy, Grada 1993

Requirements to the exam -
Last update: RNDr. Petra Surynková, Ph.D. (28.10.2019)

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)

Analytical expressions of projection methods - Monge projection, axonometry, linear perspektive, cylindrical and spherical perspective.

Transformations of a plane and space and their analytical expessions.

3D solids modeling, representation of solids, constructive solid geometry, the visibility.

Algorithms for computational geometry – point location, Boolean operations on polygons, convex hull, ...

Algorithms for descriptive geometry

 
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