Tel Aviv University School of Mathematics
Spring 2001,
Wed. 17:0020:00, room: Physics 105
CAGD  Computer Aided Geometric Design
(0368.4403)
Dr. Adi Levin
Prerequisites: Numerical analysis, programming skills.
Having taken the course Computer Graphics is an advantage but not a requirement.
The course is geared towards graduate students in applied mathematics and
in computer science. Thirdyear undergrads are welcome.
The students will learn and implement mathematical methods for
the representation and manipulation of 3D geometric models.
The following topics will be covered:
 Bezier curves and surfaces
 Bsplines, NURBS
 Tensor product surfaces
 Subdivision methods for curves and surfaces.
 Geometric smoothness and continuity.
 Blend surfaces, Coon's patch, Ruled surfaces
 Approximation by curves and surfaces
 Surfacesurface intersection and curve projection.
 Trimmed surfaces.
The weekly assignments will involve programming.
See the submission instructions.
The weekly assignments are available online.
Lecture notes are available for lecture #8 on
subdivision curves. You can also download a PowerPoint
presentation that I used for the introduction to subdivision curves & surfaces.
A zip file containing all of the possible final assignments an be downloaded.
You will need WinZip to unzip it.
Recommended books:

Curves and Surfaces for ComputerAided Geometric Design (4th ED)  Gerald E. Farin

Computer Aided Geometric Design  Josef Hoschek / Dieter Lasser

Geometric Concepts for Geometric Design  Wolfgang Boehm / Hartmut Prautzsch

The NURBS Book  Les A. Piegl, W. Tiller

A Practical Guide to Splines  Carl de Boor