关于平面位移平均值的计算
Q Jeffrey Ge1, Zihan Yu1, Mona Arbab2
1Department of Mechanical Engineering, Stony Brook University, Stony Brook, New York, USA.
概括
本研究探讨了计算平均平面位移的方法. 平面四次数提供了从多次测量中确定平均位移的最佳方法.
科学领域:
- 计算几何学的计算几何学
- 机器人技术 机器人技术 机器人技术
- 计算机辅助设计 计算机辅助设计
背景情况:
- 平面位移在各种几何和工程应用中是基本的.
- 计算多个位移的平均值对于数据聚合和减少错误至关重要.
- 现有的方法在表示和平均平面位移时可能缺乏最佳性或效率.
研究的目的:
- 介绍和评估平面位移的四个参数表示.
- 从一组输入中确定计算平均平面位移的最有效方法.
- 为了比较不同的表示在平均平面位移中的性能.
主要方法:
- 为平面位移开发了四种不同的参数表示.
- 实现算法来计算使用每个表示的平均位移.
- 对拟议方法的计算效率和准确性的比较分析.
- 使用平面四次数和相对位移的概念,以获得最佳的平均值.
主要成果:
- 证明平面四次元提供最优的平均位移.
- 四个参数表示的定量比较.
- 通过提供示例验证平面四子方法的优越性.
- 了解平面位移平均的不同表示之间的权衡.
结论:
- 计算平均平面位移的最佳方法涉及平面四次数和相对位移.
- 呈现的表示提供了多样化的方法,平面四边形产生了最好的结果.
- 这项工作为在涉及平面位移平均的应用中选择合适的方法提供了宝贵的参考.
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