Computer Graphics

Lecturer:

Tutor:

Supervisor:

Department of Technical Mathematics

Synopsis:

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.

Requirements:

Syllabus of lectures:

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.

Syllabus of tutorials:

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.

Study Objective:

Study materials:

Kargerová, M.: Geometry and Graphics. CTU in Prague, 2005.

Linkeová, I.: Geometry and Graphics - Examples and Exercises. CTU in Prague, 2006.

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans: