Performance Evaluation of Self-Organising Map Model in Organising the Unstructured Data

C. C. You, Joi San Tan, Seng Poh Lim, Seng Chee Lim, Chen Kang Lee
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Abstract

Surface reconstruction becomes a difficult task in reverse engineering when the data obtained during the data acquisition process is unstructured. The unstructured data do not contain the connectivity information required to represent the surface correctly with the least error. Hence, it should be organised to obtain the connectivity information. Various types of Self-Organising Map (SOM) models are utilised in the previous works to organise the unstructured data and represent the surface. However, the performance of the SOM models is affected when different topologies are involved in the organising process. Therefore, the purposes of this experiment are to evaluate the performance of the SOM models with different topologies and to determine the limitation of the various SOM models. The SOM models involved are 2-D SOM, 3-D SOM, Cube Kohonen (CK) SOM, and Spherical SOM (SSOM). Three 3-D unstructured closed surface data sets are applied in this experiment to evaluate the models. The experimental results show that the CKSOM and SSOM models can represent the closed surface correctly with a medium speed. Overall, the CKSOM model performs better than the SSOM model as its grid size can be tuned and it achieved 9 out of 9 minimum error in presenting the surface.
自组织映射模型在组织非结构化数据中的性能评价
当数据采集过程中获取的数据是非结构化数据时,曲面重构成为逆向工程中的一个难点。非结构化数据不包含以最小误差正确表示曲面所需的连接信息。因此,应该对其进行组织以获取连接信息。在之前的工作中,使用了各种类型的自组织映射(SOM)模型来组织非结构化数据并表示表面。然而,当组织过程中涉及不同的拓扑结构时,SOM模型的性能会受到影响。因此,本实验的目的是评估具有不同拓扑的SOM模型的性能,并确定各种SOM模型的局限性。所涉及的SOM模型有二维SOM、三维SOM、立方体Kohonen (CK) SOM和球面SOM (SSOM)。本实验采用三个三维非结构化封闭曲面数据集对模型进行评价。实验结果表明,CKSOM和SSOM模型可以在中等速度下正确地表示封闭表面。总体而言,CKSOM模型表现优于SSOM模型,因为它的网格大小可以调整,并且在呈现表面时实现了9 / 9的最小误差。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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