Concept: Arc Length Parametrization

[karens]

What does the arc length parametrization mean?

 

[eok20]

To be parameterized with respect to arc length with reference point P means that r(s) is the point on the curve such that the arc length from P to r(s) is s. In other words, to get to r(s), you start at P and move along the curve (in what the designated orientation is) a distance s.