| Detailed information |
| Original study plan |
Master's programme Computational Mathematics 2025W |
| Learning Outcomes |
Competences |
| Students are familiar with basic methods and fundamental algorithms of Computer Aided Geometric Design.
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Skills |
Knowledge |
- Use spline functions to describe curves and surfaces;
- know algorithms for spline functions and apply them to test data sets;
- re-derive proofs for properties of spline curves and spline surfaces;
- discuss Bezier curves and Bezier surfaces as special cases of general spline curves and spline surfaces
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Spline functions, B-splines and algorithms for evaluating and manipulating them; spline curves and Bezier curves as their special case; spline surfaces and Bezier surfaces as their special case; methods for constructing spline curves and spline surfaces from point data
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| Criteria for evaluation |
Exam
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| Methods |
Lecture
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| Language |
English |
| Study material |
- Lecture notes
- J. Hoschek, D. Lasser: Fundamentals of Computer Aided Geometric Design, AK
- Peters; G. Farin: Curves and Surfaces for Computer Aided Geometric Design, Morgan
- Kaufman; L. Piegl, W. Tiller: The NURBS book, Springer.
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| Changing subject? |
No |
| Further information |
Necessary previous knowledge: Basic lectures in mathematics
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| Earlier variants |
They also cover the requirements of the curriculum (from - to) TM1WLVOCAGD: VO Computer-aided geometric design (2003S-2023S)
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