Code: 2-MPG-115
Continuous assessment: Projects during exercises.
Final assessment: Examination
Objective: To acquaint students with the basic principles and techniques of constructing composite editable curves in the field of computer-aided geometric design.
Course syllabus:- Bézier curves. Polar form of polynomial curves.
- Simple interpolation schemes. Spline curves.
- B-spline functions and curves, NURBS curves.
- Refinement schemes for curves.
Literature:
Cohen E., Riesenfeld R., Elber G.: Geometric Modeling with Splines, AK Peters, 2001.
Farin G.: Curves and Surfaces for Computer Aided Geometric Design, Academic Press, 1993.
Hoschek J. and Lasser D.: Fundamentals of Computer Aided geometric Design, A K Peters, 1993.
March D.: Applied Geometry for Computer Graphics and CAGD, Springer Verlag, London, 1999.
Salamon D.: Computer Graphics and Geometric Modeling, Springer Verlag, New York, 1999.
Farin G.: Curves and Surfaces for Computer Aided Geometric Design, Academic Press, 1993.
Hoschek J. and Lasser D.: Fundamentals of Computer Aided geometric Design, A K Peters, 1993.
March D.: Applied Geometry for Computer Graphics and CAGD, Springer Verlag, London, 1999.
Salamon D.: Computer Graphics and Geometric Modeling, Springer Verlag, New York, 1999.
Bézier curves. Polar form of polynomial curves.
Simple interpolation schemes. Spline curves.
B-spline functions and curves, NURBS curves.
Refinement schemes for curves.
There is a textbook for the course titled Geometric Modelling of Curves by authors Chalmovianský, Pokorná, Bátorová, published by UK Publishing House, 2017. The following file contains errata.