Computer Graphics

Lecturer:

Tutor:

Supervisor:

Department of Technical Mathematics

Synopsis:

The subject is focused on mathematical theory of curves and surfaces in computer graphics and their visualisation. Rinoceros, NURBS modelling for Windows, is used for practical modelling and demonstration of important geometric properties of curves and surfaces.

Requirements:

Syllabus of lectures:

Curves - Ferguson cubic, Bézier curves, Coons cubic, Coons cubic B-spline. Surfaces - Bézier patch, Coons surface. Curves and surfaces joining. Algorithms of computer graphics - colour models, visibility, shading, rendering.

Syllabus of tutorials:

Curves - Ferguson cubic, Bézier curves, Coons cubic, Coons cubic B-spline. Surfaces - Bézier patch, Coons surface. Curves and surfaces joining. Algorithms of computer graphics - colour models, visibility, shading, rendering.

Study Objective:

Modelling of solids (wire frame, CSG model, B- representation), Modelling of curves (Ferguson cubics, Bezier curves), Composite curves, Coons B-spline, Modelling of surfaces (Coons and Bezier patches), Computer rendering (algorithms of visibility), Light definition, Colour definition, models RGB, CMY,HLS, Shading, ray-tracing

Study materials:

Kargerová, M.: Geometry and Graphics, CTU Publishing House, Prague, 2005.

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

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans: