Curve reconstruction from scattered data by Kohonen network

Em?d Kovács

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Curve reconstruction from scattered data by Kohonen network

机译：Kohonen网络根据分散数据重建曲线

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The aim of this paper is to extend the method of mo delling scattered data by free-from surfaces presented in [7]. In that paper the Kohonen neural network was used for ordering the data from the scattered points. After the ordering process the B-spline curve or surface approximation and interpolation methods can be applicable also for scattered input points. In this paper we extend this method to solve this problem in case of infinite set of data getting from a cloud of points. A given B–spline curve can also be reconstructed by our method with the help of the Kohonen network.

机译：本文的目的是通过[7]中提出的自由表面扩展对散乱数据进行建模的方法。在那篇论文中，Kohonen神经网络被用来对分散点的数据进行排序。在订购过程之后，B样条曲线或曲面逼近和插值方法也可适用于分散的输入点。在本文中，我们扩展了此方法以解决在从点云中获取无限组数据的情况下的问题。给定的B样条曲线也可以通过我们的方法在Kohonen网络的帮助下重建。

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《Annales Mathematicae et Informaticae》 |2000年第1期|共6页
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Em?d Kovács;
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中图分类数学;
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机译：从分散的噪声点数据中可靠地重建2D曲线
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3. Sparse Data Division Using Data Segmentation and Kohonen Network for Neural Network and Geostatistical Ore Grade Modeling in Nome Offshore Placer Deposit [J] . Biswajit Samanta, Sukumar Bandopadhyay, Rajive Ganguli Natural resources research . 2004,第3期

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4. 3D Surface Reconstruction from Scattered Data Points Using a Set of Curves on a Three Dimensional Space [C] . Faten Chaieb, Faouzi Ghorbel Conference on Vision Geometry XI, Jul 7-8, 2002, Seattle, Washington, USA . 2002

机译：使用三维空间上的一组曲线从分散的数据点进行3D表面重建
5. Multivariate Spline Method for Scattered Data Fitting, Curve and Surface Reconstruction, and Numerical Solution to Poisson Equations via Domain Decomposition Method [D] . Xu, Yidong . 2019

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7. NUMERICAL CONTROL OF KOHONEN NEURAL NETWORK FOR SCATTERED DATA APPROXIMATION [O] . Miklós Hoffmann 2008

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8. Surface-Fitting and Analysis of Scattered Data via Radial and Related Basis Functions with Applications to Neural Networks [R] . Narcowich, F. J. 2001

机译：基于径向和相关基函数的散乱数据曲面拟合与分析及其在神经网络中的应用

Curve reconstruction from scattered data by Kohonen network

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