B-spline Surface Reconstruction from Scattered Data Points Based on SOM Neural Network[J]. Journal of Image and Graphics, 2007, 12(2): 349. DOI: 10.11834/jig.20070228.
such as long training time and bad training effect etc.
when self-organizing map neural network(SOM) technology is employed in reverse engineering to reconstruct B-spline surface from scattered data points.In this paper
a new initialization method and a divide-and-conquer training scheme is presented.The approach functions as follows: firstly
the scattered data points are split into segments through principal component analysis(PCA);the neurons of output layer with quadrilateral topology are initialized on the least-square fitting planes of every segment.All the mesh surfaces obtained by training every segment respectively are integrated into a whole.Secondly
the boundary and interior neurons in the whole mesh surface are then trained and an approximate bi-linear B-spline surface is reconstructed.Finally
the B-spline surface reconstruction error is improved.Experiments show the proposed method can reduce SOM network training time and improve neural network training effect obviously.