Computer Graphics (E012037)

Departments: | ústav technické matematiky (12101) | ||

Abbreviation: | Approved: | 21.05.2010 | |

Valid until: | ?? | Range: | 1P+1C |

Semestr: | * | Credits: | 3 |

Completion: | KZ | Language: | EN |

Annotation

The subject is focused on the mathematical theory of the curves and surfaces in computer graphics and their visualisation. The Rhinoceros - NURBS modelling for Windows is used to demonstrate the geometrical properties of the curves and surfaces.

Teacher's

Mgr. Nikola Pajerová

Letní 2019/2020

doc. Ing. Ivana Linkeová Ph.D.

Letní 2018/2019

doc. Ing. Ivana Linkeová Ph.D.

Letní 2017/2018

Structure

1. Ferguson curve - definition, analytical and graphical representation, properties, applications.

2. Bézier curve - definition, analytical, graphical and CAD representation, properties, free form curves modelling, applications.

3. Coons, B-spline and NURBS curve - definition, analytical, graphical and representation, properties, free form curves modelling, applications.

4. Ferguson 12-vector patch - definition, analytical and graphical representation, applications.

5. Bézier surface - definition, analytical, graphical and CAD representation, applications.

6. Coons surface - definition, analytical, graphical and CAD representation, applications.

7. Patching - free form surfaces modelling with required continuity.

2. Bézier curve - definition, analytical, graphical and CAD representation, properties, free form curves modelling, applications.

3. Coons, B-spline and NURBS curve - definition, analytical, graphical and representation, properties, free form curves modelling, applications.

4. Ferguson 12-vector patch - definition, analytical and graphical representation, applications.

5. Bézier surface - definition, analytical, graphical and CAD representation, applications.

6. Coons surface - definition, analytical, graphical and CAD representation, applications.

7. Patching - free form surfaces modelling with required continuity.

Structure of tutorial

1. Rhinoceros I - helix and helicoidal surfaces modelling.

2. Free-form curves - analytical and graphical representation.

3. Rhinoceros II - free-form curves modelling.

4. Free-form surfaces - analytical and graphical representation.

5. Free-form surfaces - analytical and graphical representation - continuing.

6. Rhino III - free-form surface modelling.

7. Test. Assessments.

2. Free-form curves - analytical and graphical representation.

3. Rhinoceros II - free-form curves modelling.

4. Free-form surfaces - analytical and graphical representation.

5. Free-form surfaces - analytical and graphical representation - continuing.

6. Rhino III - free-form surface modelling.

7. Test. Assessments.

Literarture

Linkeová, I.: Curves and Surfaces for Computer Graphics. CTU in Prague, 2012.

Requirements

Keywords

Free-form curve, free-form surface, Rhinoceros, continuity, patching.