An algorithm for 3D curve smoothing

Abstract

In this work we present an application of curve evolution techniques to the smoothing of 3D curves. We study two types of application scenarios: in the first one, the curve is just given by an ordered set of 3D points, and in the second one, the curve represents the medial axis of a 3D volume. In this last scenario, the input of the algorithm is the 3D volume and a 3D curve representing an approximation of the volume medial axis. We propose an algorithm for 3D curve smoothing, based on a curve evolution equation which includes both scenarios. We present a variety of experiments to show the performance of the proposed technique.