Geometry-Driven Curve Evolution

In this paper we show how geometry-driven diffusion can be used to develop a system of curve-evolution that is able to preserve salient features of closed curves (such as corners and straight line segments), while simultaneously suppressing noise and irrelevant details. The idea is to characterise the curve by means of its angle function (i.e. the angle between the tangent and a fixed axis) and to apply geometry-driven diffusion to this one-dimensional representation.