圆形地物的测量精度及其分析

Surveying Accuracy and Analysis of Circular Culture Object

圆形地物定位是测绘中常见的问题,不但需要确定其位置和大小,而且需要对其圆心坐标和半径进行精度评定,但目前尚没有对圆形地物进行定位和精度评定的完整模型。基于此,对圆形地物的定位及精度评定问题进行了探讨,提出了一种圆形地物定位的平差模型,即首先利用3个边界点坐标推算出地物中心和半径的计算公式和精度评定公式,继而给出平差模型,最后通过实例,验证了该模型的正确性。

The determining orientation of circular culture object is a common problem in survey. The position and shape of circular culture object must be determined and its accuracy of the coordinate and radius （ location parameters） of circular object must be evaluated. But there is not a complete model of determining orientation of circular object and the accuracy evaluation. This paper presents direct calculating formula of location of the circular object＇ s centre, radius （location parameters） and the accuracy evaluation of three location parameters. Then the adjustment model is given. At last, all formulae are right provided by the instance. It is useful that locating and evaluating of circular culture object are necessary.