Improved Algorithm for Principal Curvature Estimation in Point Clouds due to Optimized Osculating Circle Fitting based on Geometric Algebra

Abstract

In this paper we introduce our improvements and innovations to an algorithm for the estimation of principal curvatures in point clouds. The major part of the improvement is achieved by the use of a new osculating circle fitting. In this paper, first of all, we explain the algorithm for Principal Curvature Estimation, as well as the previous osculating circle fitting. Then we present the new osculating circle fitting and an additional possibility of improving the results by a method, which adjusts some variables of the algorithm at runtime, to adapt the algorithm to the denseness of the particular point cloud. Furthermore, we present some results of the new methods. To complete this paper, we give a conclusion and an outlook.