Computer Aided Geometric Design

Let me share with you a great online book about CAGD published and written by Thomas W. Sederberg on January 2011.
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*

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