Model-Free 3D Reconstruction of Weld Joint Geometry Using Laser Scanning in Presence of Noise

This article presents a novel utilization of the concept of entropy in information theory to a model-free reconstruction of 3D space in presence of noise. We show that its formulation attains its global minimum at the upper edge of this space to facilitate the extraction of its volume. Furthermore, we present a Monte Carlo approach that is based on the stratification of the sensor information to compute the volume of this extracted space. Moreover, we provide a preliminary empirical analysis of the effect of variation of the noise on the extraction process of this space to realize the impact of this noise on the computation of its area and volume.