Fitting Splines to a Parametric Function

This Brief investigates the intersections that occur between three different areas of study that normally would not touch each other: ODF, spline theory, and topology.
The Least Squares Orthogonal Distance Fitting (ODF) method has become the standard technique used to develop mathematical models of the physical shapes of objects, due to the fact that it produces a fitted result that is invariant with respect to the size and orientation of the object. It is normally used to produce a single o...