Piecewise Polynomial Interpolation
The full text may be freely downloaded.
This is both a study of the fundamentals described in simple terms as well as a reference showing many types of Polynomial Interpolation - including many common types and some developed by the author. It also shows some techniques not seen elsewhere.
Linear interpolation is looked at carefully and shown is as the basis for all more advanced types using only Algebra. Only after understanding how adding squared and cubed terms cause smooth curves, are the more advanced curves examined such as Bezier, Catmul-Rom, and b-spline. More advanced mathematical concepts and notations are kept to a minimum. Some additional techniques that are suggested by the mathematics and that the author has not seen elsewhere are examined. A reference is also included with all the most common curve drawing methods and includes drawings to allow comparison with other types.
Interpolation and Curves for Graphics
A Study of Piecewise Polynomial Interpolation Fundamentals And Curve Reference. Full Text last Updated on 2 April 2011
This will most likely be the last revision of my book. While there are a few curve sample Figures that have not been added to the Appendix, all the information is provided to produce them as well as comments on behavior.
......... This page last updated 17 January 2013 .....................