Geometric Modeling

Semestr: Winter

Range: 2+2s


Credits: 4

Programme type: Undefined

Study form:

Course language:


Graphical information processing, object description, operations over solids, topological problems of solid representation, standards for solid description, special methods for object description, constraints and their applications, scientific visualisation, scalar and vector data, volume graphics.


Object representation, operations with objects, visualization of static and dynamic data

Course syllabus:

1. General methods for graphical information processing
2. Fundamental methods for the 3D object description
3. Set operations and local operations with 3D objects
4. Validity of 3D object representation
5. Topological properties of some classes of objects
6. General topological problems of body representation
7. Problems of numerical precision of body representation
8. Standards for 3D object description
9. Particle systems, generative systems for object description
10. Constraints and their applications in geometric modeling
11. Fundamental methods for scientific visualization
12. Visualization of scalar and vector values
13. Volume graphics and its application
14. Interaction in the scientific visualization environment

Seminar syllabus:

1. Specification of individual projects
2. Specification of individual projects
3. Introductory study to the project
4. Introductory study to the project
5. Consultations to pilot implementation
6. Consultations to pilot implementation
7. Presentation of pilot solutions
8. Presentation of pilot solutions
9. Consultations to final solution
10. Consultations to final solution
11. Consultation to the choice of debugging tools
12. Consultation to the choice of debugging tools
13. Final presentation
14. Final presentation


[1] Foley, J.D., van Dam, A., Feiner, S.K., Hughes, J.F.: Computer Graphics - Principles and Practice. Addison Wesley, New York 1990
[2] Abramowski, S., Mueller, H.: Geometrisches Modellieren. Wissenschaft Verlag, Manheim 1991