paper: Driving a Robot — Fastest Path from A to B

[artK]

Originally Posted by Jared

A great example of where a line would be much faster:

 
     Time: 4.142848102721899
     Distance: 23.413771473152483
     Average Speed: 5.6516123431533405

A line for the same path:

     Time: 1.5516701850414147
     Distance: 6.099594833091013
     Average Speed: 3.9309866825392485

I look at this and have to ask one question Jared: if you were to add PI to both of the headings, thus creating a new spline that should model a robot driving backwards, what do the numbers come out to?