CSE 477 Introduction to Computer Aided Geometric Design

Course Coordinator

Gerald Farin

Total Credit

3

Current Catalog Description

Introduction to parametric curves and surfaces, Bezier and B-spline interpolation and approximation techniques.

Textbook

The Essentials of CAGD, G. Farin and D. Hansford, AK Peters, 2000.

References

Course Goals

Understanding the basic theoretical concepts underlying curve and surface design, and being able to develop software to implement these concepts in an interactive computer graphics environment.

Prerequisites by Topic

• Calculus
• Linear algebra
• Line drawing graphics

Major Topics Covered in the Course

• Basic concepts of affine geometry (ratios, affine maps).
• Bezier curves (de Casteljau algorithm, derivatives, Bernstein form).
• Polynomial interpolation (Langrange form, Aitken's algorithm, Hermite form).
• Spline curves (piecewise Bezier form, B-spline form, piecewise Hermite form, free form and interpolating splines, end conditions, parametrizations).
• Bicublic surfaces (B-spline, Bezier, Hermite form).