Reconstruction of 3D Surfaces Using RBF Adjusted with PSO

Chapter 3 shows the design and implementation of a method used to reconstruct 3D surfaces from point-clouds, using Radial Basis Functions (RBFs) neural networks, which have been adjusted utilizing PSO algorithm. Meshing functions in order to interpolate point clouds to obtain compact surface representations is very important for Computer Aided Design (CAD), robot mapping, and object description and recognition, among other important applications. The results obtained using our algorithm show that, although the obtained surfaces are not continuous, they can be used as compact descriptors for pattern recognition process, and environmental mapping. This is because our proposal is fast enough to be implemented in real time, and the reduction of the number of parameters used to describe a shape with 3D point clouds is significant.