三维空间多边形的位置不确定性度量模型

Uncertainty Measurement Model of Three-Dimensional Polygon

在研究三维空间线元置信域模型的基础上,分别从三维空间多边形置信域模型和度量方法两个角度研究了三维空间多边形的位置不确定性。借鉴三维空间线元的置信域建模原理,提出了三维空间多边形置信域模型;基于积分学原理,提出了三维空间多边形置信域度量模型。实例研究结果表明,三维空间多边形置信域度量模型可以应用于工程等领域的质量控制过程。

As an important geometric feature, the uncertainty of polygon is the extension and the depth of line uncertainty. As for this problem, the uncertainty estimation of three-dimensional polygon is studied here, and based on the confidence domain model of line, the uncertainty of three-dimensional polygon is described and estimated from two aspects of the model and the measurement of confidence domain. And then, The acceptance specification for urban construction is chosen to prove that the research of this article is correct. Several conclusions can be got as follows. ① The uncertainty model of three-dimensional polygon is proposed here, referring to the derivation of line. ② The uncertainty model of three-dimensional polygon is estimated based on integral calculus. ③The uncertainty estimation model of three-dimensional polygon can be used to control quality in the field of engineering.