Piecewise Polynomial Interpolation

(c)  1999-2011 Stephen H. Noskowicz All Rights Reserved

       UPDATED May 12 2011

The FULL text is now available at:
 http://home.comcast.net/~k9dci/site/?/page/Piecewise_Polynomial_Interpolation/


  This is a study of what can be a complex subject. While a 
rigorous mathematical study of interpolation and splines, 
it uses only the simplest of notation.  I kept a practical 
focus on interpolation concepts as they apply to graphics.  
Little more than Algebra is used and little rigorous 
mathematical language is used.  The mathematical steps 
taken are small ones.  No derivations are left to the reader.  
It is not a collection of computer routines.

  My goals.  

* Provide a comfortable understanding of principles for the 
  non math-expert.  

* Assemble a reference for the many curve types showing the behavior.

* Give deeper understanding to someone interested in exploring 
  more than just the minimum.  

* Provide for those who simply want to "draw a smooth curve".  

* Finally, make available, a number of new curves and a blending 
  technique, developed along the way by the author.  Perhaps one 
  will fill a special need.

  I start with linear interpolation and build to the more complex.


The Appendices show a few related concepts as well as an extensive 
reference of many common and not so common interpolation types, both 
fixed and variable, along with some new ideas.

There are many figures demonstrating all the concepts.