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Lecturer(s)
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Káňa Michal, doc. RNDr. Ph.D.
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Course content
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selected curve types (offset, envelope and MAT, PH curves, MPH curves). Selected types of surfaces (channel surfaces, ring surfaces, PN surfaces, MOS surfaces), symmetry groups and symmetry detection of curves and surfaces. application of geometry in CNC machining.
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Learning activities and teaching methods
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Interactive lecture, Lecture supplemented with a discussion, Lecture with practical applications, E-learning, Students' portfolio
- Contact hours
- 52 hours per semester
- Preparation for an examination (30-60)
- 40 hours per semester
- Undergraduate study programme term essay (20-40)
- 30 hours per semester
- Presentation preparation (report in a foreign language) (10-15)
- 12 hours per semester
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| prerequisite |
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| Knowledge |
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| be familiar with the basic concepts of mathematical analysis, linear algebra, analytic geometry, differential geometry and geometric modelling. |
| Skills |
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| work with the basic concepts and understand the basic principles of mathematical analysis, linear algebra, analytic geometry, differential geometry and geometric modelling. |
| Competences |
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| N/A |
| learning outcomes |
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| Knowledge |
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| be familiar with modern geometric methods, especially in the field of geometric modelling and applied algebraic geometry |
| understand the theoretical foundations of the methods studied |
| Skills |
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| apply selected methods to problems of technical practice in particular |
| Competences |
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| N/A |
| teaching methods |
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| Knowledge |
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| Lecture |
| Lecture supplemented with a discussion |
| Interactive lecture |
| E-learning |
| Task-based study method |
| Self-study of literature |
| Students' portfolio |
| Skills |
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| Task-based study method |
| E-learning |
| Students' portfolio |
| Competences |
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| Task-based study method |
| Textual studies |
| assessment methods |
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| Knowledge |
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| Combined exam |
| Seminar work |
| Individual presentation at a seminar |
| Skills |
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| Individual presentation at a seminar |
| Seminar work |
| Competences |
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| Combined exam |
| Seminar work |
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Recommended literature
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De Berg, Mark. Computational geometry : algorithms and applications. Berlin : Springer, 1997. ISBN 3-540-61270-X.
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Goodman, Jacob E.; O'Rourke, Joseph. Handbook of discrete and computational geometry. 2nd ed. Boca Raton : Chapman & Hall/CRC, 2004. ISBN 1-58488-301-4.
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Ma, Yi. An invitation to 3-D vision : from images to geometric models. New York : Springer, 2004. ISBN 0-387-00893-4.
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