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Course, academic year 2023/2024
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Computer Geometry I - NDGE022
Title: Počítačová geometrie I
Guaranteed by: Department of Mathematics Education (32-KDM)
Faculty: Faculty of Mathematics and Physics
Actual: from 2016
Semester: winter
E-Credits: 6
Hours per week, examination: winter s.:2/2, C [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: cancelled
Language: Czech
Teaching methods: full-time
Teaching methods: full-time
Additional information: http://surynkova.info/PG.php
Guarantor: RNDr. Petra Surynková, Ph.D.
Class: M Bc. DGZV
M Bc. DGZV > Povinné
Classification: Mathematics > Geometry
Incompatibility : NMUG301
Interchangeability : NMUG301
Is incompatible with: NMUG301
Is interchangeable with: NMUG301
Annotation -
Last update: Mgr. Šárka Voráčová, Ph.D. (15.05.2008)
The course presents the mathematical foundation of geometric data processing, usually refered to as computer aided geometric design. The course is concerned with the theory of projection and geometric basis for the representation of curves and surfaces.
Aim of the course -
Last update: T_KDM (19.05.2008)

This course helps to obtain theoretical background for teaching mathematics at high school.

Literature -
Last update: T_KDM (16.05.2008)

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

Teaching methods -
Last update: T_KDM (20.05.2008)

Lectures and exercises.

Syllabus -
Last update: T_KDM (24.05.2004)

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

Transformations of a plane and space and their analytical expessions.

Curves of computer geometry (curves of Ferguson, Bezier, spline and B-spline curves).

 
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