There will be no required textbook. For each topics, the necessary reading material will be provided. Only splines and subdivision curves are adequately covered in the existing textbooks. The following books and notes are recommended:

[Farin] Gerald Farin. Curves and Surfaces for Computer Aided Geometric Design. Academic Press, 1996

[Warren] Joe Warren. Subdivision methods for geometric design , book manuscript.

[Siggraph] Peter Schröder, Denis Zorin, Tony DeRose, David Forsey, Leif Kobbelt, Michael Lounsbery, Jörg Peters. Subdivision for Modeling and Animation SIGGRAPH '98 Course Notes.

[Joy] Ken Joy Online Geometric Modeling Notes

[Rockwood & Chambers] Alyn Rockwood and Peter Chambers. Interactive Curves and Surfaces: A Multimedia Tutorial on CAGD. Morgan Kaufmann, 1996

The following books are general computer graphics references you may find useful for your projects:

J. D. Foley, A. Van Dam, S. K. Feiner, and J. F. Hughes. Computer Graphics: Principles and Practice. Addison-Wesley, Reading, MA, 2nd edition, 1990.