CAJ | 학술논문

坐标测量中对几何元素的拟合一般使用最小二乘法，但在测点数量较少时测点的误差在很大程度上影响计算的结果。在最小二乘法的基础上，提出了一种通过较少测点拟合寻找圆心的改进方法-半径确定的最小二乘圆拟合法。在圆弧对应测点较少的情况下，此方法能提高圆拟合的精度和可靠性。
좌표측량중대궤하원소적의합일반사용최소이승법，단재측점수량교소시측점적오차재흔대정도상영향계산적결과。재최소이승법적기출상，제출료일충통과교소측점의합심조원심적개진방법-반경학정적최소이승원의합법。재원호대응측점교소적정황하，차방법능제고원의합적정도화가고성。
Least-squaremethod is used to fit coordinate measurement of geometric elementsgenerally, but withfewer calculationpoints,the error of measuring pointscauses serious deviation to the results. On the basis of least-squaremethod,an improved method-Radius Immobilization least-square Circle Fitting Method,abbre-viated to “RILCFM”,was introducedto find the center of a circle withless points. This method proves to be able to improve the accuracy and reliability of circle fitting.