Thanks Toni. I've added the link to the download / source / documentation.

I created a method Spline::sampleAt(float f) which returns the interpolated value at point f (0...1) percentage along the dataset. This can be physical distance or percentage of given sample points. E.g. sampleAt(0.25) can mean 'give me the value at one quarter along the spline' OR 'give me the value at one quarter of the nodes along the spline).

So e.g. the following code will resample the value at 100 points along the dataset:
for(float f=0; f (LE) 1; f+=0.01) {value = mySpline.sampleAt(f); }

I've implemented two interpolation types: linear and catmull-rom (cubic). So the idea is to be able to calculate a value at any point along the data by fitting a mathematical curve that goes through all the points. Hope that is a bit clearer.