Will depend on the research interests of students and faculty and may include one or more of the following (or other topics of current interest.)

1. Special algebraic spline curves including the Tschirnhausen cubic.

2. Non-linear spline curves including least energy spline curve.

3. Arc and spiral splines, including biarc and clothoid splines.

4. B-spline curves and surfaces for surface fitting and geometric modelling.

5. Smooth blending of surface patches (including Bzier and Gregory patches) for geometric modelling and surface fitting.

6. Advanced NURBS (non-uniform rational B-splines).

7. Problems related to medical imaging

TEXTS:

1. An Introduction to Splines for Use in Computer Graphics and Geometric Modelling by R. H. Bartels, J. C. Beatty, and B. A. Barsky.

2. Curves and Surfaces for Computer Aided Geometric Design by G. A. Farin.

3. Curves and Surfaces in Computer Aided Geometric Design by F. Yamaguchi.

4. Computer Aided Geometric Design edited by Barnhill and Riesenfeld.

5. NURBS for Curve and Surface Design ed. G. Farin.

6. Mathematical Methods in Computer Aided Geometric Design edited by Tom Lyche, Larry L. Schumaker.

7. Mathematical Methods in Computer Aided Geometric Design II edited by Tom Lyche, Larry L. Schumaker.

8. Surfaces in Computer Aided Geometric Design edited by Barnhill and Boehm.

9. Geometry Processing for Design and Manufacture edited by Barnhill and Riesenfeld.

10. Computer Graphics and Geometric Modeling Using Beta-splines by B. A. Barsky.

11. Fundamentals of Digital Image Processing by A. K. Jain

12. Algorithms for Graphics and Image Processing by T. Pavlidis

• Computer-Aided Design
• Computer Aided Geometric Design
• IEEE Computer Graphics & Applications
• Computers & Graphics
• ACM Transactions on Graphics
• Computer Vision, Graphics, and Image Understanding
• Graphical Models and Image Processing
• Image Understanding
• Image and Vision Computing

• BYTE