Orbital Dynamics, Chaos in.

A system generates a smoothed curve from a noisily drawn, multi-segmented curve by solving a smoothing function for a transposed curve which fits between end-points of the drawn curve. The transposed curve has an energy value related to the length of the transposed curve. The energy value has two components: a distortion factor and a smoothing factor. Numerical analysis methods are applied to evaluate the smoothing function and to identify the transposed curve with the lowest energy. The transposed curve with the lowest energy value is selected as the smoothed curve.