基于径向基函数神经网络和模拟退火算法的稀疏点云数据表面重建

Xue-mei Wu, Gui-xian Li, Wei-min Zhao
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引用次数: 2

摘要

将一种新颖的神经网络算法应用于稀疏点云数据曲面的插值与重构。将径向基函数神经网络与模拟退火算法相结合。该算法能以任意精度逼近任意非线性函数,并能防止网络陷入局部最小值。利用模拟退火的全局优化特性对网络权值进行调整。编写了MATLAB程序,利用该算法对稀疏点云数据进行了实验,结果表明,该算法能有效逼近曲面,误差精度在10-4 mm以内,且学习速度快,重构曲面光滑。采用不同的方法进行表面重建比较,采用本文提出的算法得到的和方误差为6.7 × 10- 8mm,采用径向基函数神经网络在相同参数下得到的和方误差为1.34 × 10- 6mm。反向传播学习算法网络直到3500次迭代过程才收敛。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Sparseness Points Cloud Data Surface Reconstruction Based on Radial Basis Function Neural Network (RBFNN) and Simulated Annealing Arithmetic
A novel neural network arithmetic was employed in sparseness points cloud data surface interpolation and reconstruction. Radial basis function neural network and simulated annealing arithmetic was combined. The new arithmetic can approach any nonlinear function by arbitrary precision, and also keep the network from getting into local minimum. Global optimization feature of simulated annealing was employed to adjust the network weights. MATLAB program was compiled, experiments on sparseness points cloud data have been done employing this arithmetic, the result shows that this arithmetic can efficiently approach the surface with 10-4 mm error precision, and also the learning speed is quick and reconstruction surface is smooth. Different methods have been employed to do surface reconstruction in comparison, the sum squared error is 6.7times10-8 mm employing the algorithmic proposed in the paper, the one is 1.34times10-6 mm with same parameters employing radial basis function neural network. Backpropagation learning algorithm network does not converge until 3500 iterative procedure.
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