Denoising of two-dimensional geometric discontinuities

Accurate reduction of two-dimensional curve noises at sharp edges, corners, or C0 discontinuous end points is crucial to the fast and accurate metrology, because more severe measurement errors of various sensors are frequently observed near sharp edges and corners of the objects to be measured. In this paper we explore three schemes (interior-point, polynomial extrapolation- and reflectionpoint methods) for handling C0 discontinuity. We also propose a new interior-point method for dealing with the accurate denoising of C1 discontinuity. Numerical experiments have been conducted for demonstrating the efficacy of our new approach in terms of denoising accuracy.