...
首页> 外文期刊>Computer Aided Geometric Design >Estimation of the principle curvatures of approximated surfaces
【24h】

Estimation of the principle curvatures of approximated surfaces

机译:估计近似曲面的主曲率

获取原文
获取原文并翻译 | 示例

摘要

This paper presents a method for estimating curvature values of a surface, which is given only approximatively, e.g., by measured data. The presented method requires estimates of the curvature of curves. These lead, along with the theorems from Euler and Meusnier, to the values of surface curvature. Methods are presented, which converge with the different error order of O(h~2) and O(h~2n ). For the first of them explicit formulae are given. It is proved that the error order remains the same through all further calculations until the final estimation of surface curvature is found.
机译:本文提出了一种估计表面曲率值的方法,该方法仅是近似地给出,例如,由测量数据给出。提出的方法需要估计曲率。这些与Euler和Meusnier的定理一起导致了表面曲率的值。提出了以O(h〜2)和O(h〜2n)的不同误差阶收敛的方法。对于第一个,给出了明确的公式。事实证明,在找到表面曲率的最终估计值之前,通过所有进一步的计算,误差阶数保持不变。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号