text: This paper builds upon the current methods to increase their capability and automation for 3D surface construction from noisy and potentially sparse point clouds. It presents an analysis of an artificial neural network surface regression and mapping method, describing caveats, improvements and justification for the different approach.
  @cite_11: Abstract This paper rigorously establishes that standard multilayer feedforward networks with as few as one hidden layer using arbitrary squashing functions are capable of approximating any Borel measurable function from one finite dimensional space to another to any desired degree of accuracy, provided sufficiently many hidden units are available. In this sense, multilayer feedforward networks are a class of universal approximators.
summary: Yumer and Kara suggest a NN regression method of surface fitting and hole stitching. The flexibility achieved by an adaptive neural network topology differs from previous attempts as the ideal topology of the network obtained (the hyperaparmeters) are not fixed @cite_11 , meaning the network can be tailored to each point cloud automatically. This method is good for removing noise as the underlying geometry of the point data and not random noise is represented in the final surface.