Division of Geometry

Curve and Surface Modelling (2)

Code: 2-MPG-215

Continuous assessment: Projects

Final assessment: Examination

Objective: To acquaint students with the basic principles and techniques of constructing editable surfaces in the field of computer-aided geometric design.

Course syllabus:
  1. Bezier rectangular and triangular patches and their polar forms.
  2. B-spline and Beta-spline surfaces, NURBS surfaces.
  3. Coons patches and other interpolating surfaces.
  4. Blossoming and its applications.
  5. Refinement schemes for surface construction.

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.