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A convergence criterion for a high accuracy surface modelling method

机译：高精度曲面建模方法的收敛准则

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摘要

Recently, a new surface modelling method, High Accuracy Surface Modelling (HASM), is developed to give a relatively more accurate result than other classical methods. However, in the absence of a common convergence criterion, further applications of HASM have been limited. In this paper, we propose a convergence criterion for HASM which is based on the theoretical basis of it, allowing one to reliably determine a good termination point for the iterations. We then use numerical experiments and real-world applications to test the performance of this stopping criterion. Results show that the simulation accuracy is much improved and a convergence solution for HASM is obtained. In addition, for end-users, this criterion gives a quantitative indicator for the stopping rule of HASM and further makes HASM widely accepted by the general public.
机译：最近，开发了一种新的曲面建模方法，即高精度曲面建模（HASM），以提供比其他传统方法相对准确的结果。但是，在没有通用的收敛标准的情况下，HASM的进一步应用受到了限制。在本文中，我们提出了一种基于HASM的收敛准则，该准则基于HASM的理论基础，使人们能够可靠地确定迭代的良好终止点。然后，我们使用数值实验和实际应用程序来测试此停止标准的性能。结果表明，仿真精度大大提高，并获得了HASM的收敛解。另外，对于最终用户，该标准为停止HASM的规则提供了定量指标，并进一步使HASM被公众广泛接受。

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  • 来源
    《Applied Mathematical Modelling》 |2016年第22期|9615-9623|共9页
  • 作者

    Na Zhao; Tian-Xiang Yue;

  • 作者单位

    State Key Laboratory of Resources and Environment Information System, Institute of Geographic Sciences and Natural Resources Research, Chinese Academy of Sciences, Beijing 100101, China,Jiangsu Center for Collaborative Innovation in Geographic Information Resource Development and Application, Nanjing 210023, China;

    State Key Laboratory of Resources and Environment Information System, Institute of Geographic Sciences and Natural Resources Research, Chinese Academy of Sciences, Beijing 100101, China,Jiangsu Center for Collaborative Innovation in Geographic Information Resource Development and Application, Nanjing 210023, China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Surface modelling method; HASM; Convergence criterion; Accuracy;

    机译：表面建模方法;HASM;收敛准则;准确性;

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