The Degrafa Cardinal spline is now available from the Origin branch.  Usage is very similar to the Catmull-Rom spline with the exception of the tension parameter.  The Cardinal spline is based on the C-R code base, so it supports closure.  The...

There is not much difference from the demo of the Bezier x-at-y method from the previously posted y-at-x demos.  Here is the MXML for the test case.  Most of the heavy lifting is in the displayXatY() method.  Study that and you should have a pretty...

A few requests for the algorithm behind the Bezier y-at-x and x-at-y methods have been received.  The code is self-contained in the com.degrafa.geometry.AdvancedQuadraticBezier and AdvancedCubicBezier classes.  Both classes accept control points in...

I have received a couple requests for x-at-y methods in the advanced quadratic and cubic Bezier classes to complement the existing y-at-x methods.  Fortunately, the algorithm is the same, just a different set of coefficients, so it was an easy...

Continuing from part 4 of this series, we are looking at tension values outside the range of zero to one. When T is negative, then s = (1-T)/2 increases from 1/2 and grows without limit as T becomes larger negative. So, what happens for large values...