RECOGNIZING SHAPE IN ORDERED PLANAR NOISY DATA
ANNE PATRIGNANI McENTEE, Harry W. McLaughlin · International Journal of Shape Modeling · 1998
The human eye smooths noisy data in the process of perceiving fair shape. The shape of ordered planar noisy data is determined by constructing convex regions, called gates, around each point. The data inherits its shape from the shape of the minimal length polygonal path interpolating the gates in order. Specifically, the number of inflections in the minimal length polygonal path defines the shape of the original noisy data.