Computer Aided Geometric Design
Below you find a note on polynomial curves and some JAVA applets demonstrating some of their properties
Notes in postscript format
Notes in pdf format
(with live figures)
The figures:
Polynomial curves in power basis
Polynomial curves in Hermite basis (Ferguson segment)
Polynomial curves in Bernstein basis (Bézier curve)
Drawing with Bézier curves
A collection of live Bézier curves:
Degree 2
Degree 3
Degree 3
Degree 3
Degree 3
Degree 3
Degree 5
Degree 5
Degree 7
Degree 9
Degree 9
Degree 9
de Casteljau's algorithm
The derivative
Degree elevation
Subdivision