Akima spline curves give drawing freedom, at least some kind
of interpolating spline curve where you can just simply lay the
points down and the curve follows along the points - I can't get
bezier curves to do what I want. It's like

Alice in wonderland using a flamingo for a mallet in a game
of croquet. unweildly.

Bezier Curves were introduced into Windows NT and all windows
NT family products after that. It

soon followed that all paint programs began including Bezier
Curves as a drawing method. Big

mistake. They should have introduced Akima spline curves into
Windows. I am not saying take

Bezier curves out - I am saying Add Akima Spline curves, or
the bettered (modified) version of

Akima Spline curves that doesn't react as much. At least some
type of interpolating spline curve

where you just lay the points down and the curve follows the
points.

Akima spline curves are cool. just put points along where you
want the curve. simple. you just

need more points around sharp edges, or you get a "ringing"
effect around that area. (See

discussion and visuals link).

part of the challenge of using Akima spline curves is that
the first 2 data points must be faked

or dropped. same goes with the last data point. this can be
taken care of with some simple

engineering tricks.

http://en.wikipedia.org/wiki/Spline_(mathematics)
Wikipedia article on Spline curves (mathematics). This does
not cover the Akima Spline, which

keeps its curve along the data points rather than just near
it like a B-spline curve does.

http://www.cse.unsw.edu.au/~lambert/splines/
demonstration of the various curve types in action. (requires
Java) play with the spline curve for

a while (delete the existing points other than 0 first to get
started)

http://demonstrations.wolfram.com/BSplineCurveWithKnots/
B-Spline curve with Knots (can be active demo)

GNU Scientific Library Reference Manual

http://www.network-theory.co.uk/docs/gslref/InterpolationTypes.html
book - has Akima Spline & Cubic Spline. See also

http://www.gnu.org/software/gsl/manual/html_node/Interpolation-Types.html
GNU Manual

http://www.iop.org/EJ/abstract/0031-9155/18/4/306
PDF file from medical site on akima and spline methods and
its associated errors. Recommendations

for fixing the significant overshoot on abrupt changes, and
suggestion to use more closely spaced

points around those regions. must purchase.

http://portal.acm.org/citation.cfm?id=116810
The Akima Univariate Interpolation Method (spline) article
from the acm. by Hiroshi Akima.

requires web account and probably money to buy the PDF
article.

http://www.iue.tuwien.ac.at/phd/rottinger/node60.html
Equations for Akima Spline

http://www.alglib.net/interpolation/spline3.phpdiscussion
and visuals of Akima Spline and its

drawbacks. also has source code in C++, C#, Delphi, VB6,
Zonnon.

http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6TYG-414N645-
2&_user=10&_rdoc=1&_fmt=&_orig=search&_sort=d&view=c&_acct=C000050221&_version=1&_urlVersi on=0&_us

erid=10&md5=17dccffcfa40e5b420c7c377fc24b5f7

pay-for article on some sort of improved-smoothness spline.
Shape of data is preserved.

http://www.mathworks.com/matlabcentral/fileexchange/loadFile.do?objectId=1814&objectType=f ile
MATLAB model.