Abstract
A new type of generalized polynomials neural network was proposed to reconstruct 3D implicit surface from the scattered points. Since its hidden-layer neurons were activated with the different and linear independent generalized polynomials,the proposed neural network could achieve good performance in learning different patterns. Then the weights-updating formula for the new type of neural network was derived based on gradient-descent method. The simulation results on some scattered point models show that this method can obtain good reconstruction quality and denoising effect.
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