点位分布与椭圆拟合精度关系研究

The relationship between distribution of measuring point and ellipse fitting accuracy

椭圆边界点的分布与椭圆定位精度密切相关,如果点位分布恶劣,就会对椭圆定位的精度产生较大的影响,甚至是错误结果.为了探究定位精度与分布关系规律,对同一椭圆地物采集了2组数据,每组数据用16个方案进行拟合.结果表明,观测点均匀分布在整个边界上时精度较高;若分布在一侧,误差不可忽视,面积误差尤其不能忽视;若分布区域不超过四分之一,拟合结果误差很大,甚至得到错误结果.

Distribution of measuring points in the boundary of the ellipse is closely bound up with ellipse determination accuracy.If the distribution isn＇t very reasonable,it has considerable influence on ellipse determination accuracy,even causing wrong result.For studying the law of ellipse determination accuracy and distribution of measuring point in the boundary of the ellipse in this paper,adjustment result of sixteen plans shows that even distribution can get higher accuracy,error cannot be ignored if measuring points locating in one side of ellipse and error will get very big if measuring points concentrate on the boundary of less than a quarter of ellipse,even leading to wrong results.