Computer aided geometric design (CAGD) concerns itself with the mathematical description of shape for use in computer graphics, manufacturing, or analysis. It draws upon the ﬁelds of geometry, computer graphics, numerical analysis, approximation theory, data structures and computer algebra.

CAGD is a young ﬁeld. The ﬁrst work in this ﬁeld began in the mid 1960s. The term computer aided geometric design was coined in 1974 by R.E. Barnhill and R.F. Riesenfeld in connection with a conference at the University of Utah.

**Here are the chapters****:**

1) Introduction

2) B´ezier Curves

3) Polynomial Evaluation and Basis Conversion

4) Forward Differencing

5) Properties of Blending Functions

6) B-Spline Curves

7) Planar Curve Intersection

8) Offset Curves

9) Polynomial Root Finding in Bernstein Form

10) Polynomial Interpolation

11) Approximation

12) Interval B´ezier Curves

13) Floating Point Error

14) Free-Form Deformation (FFD)

15) Tensor-Product Surfaces

16) Algebraic Geometry for CAGD

17) Algebraic Geometry for CAGD

18) Genus and Parametrization of Planar Algebraic Curves

- Introduction to T-Splines
- Full Computer Aided Geometric Design
- Some useful books about Computer Aided Geometric Design*

*Search results, I take no responsibility for any action taken by you on other sites the links redirect you to.

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