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锡盟本地网站建设,网站我优化,活动推广方案策划,面试网站开发旋转标定的数学公式 一 旋转中心标定public class CircleFitter{/// summary/// 通过三个点计算圆心坐标/// /summary/// param namepoint1第一个点 (x1, y1)/param/// param namepoint2第二个点 (x2, y2)summary/// 通过三个点计算圆心坐标/// /summary/// param namepoint1第一个点 (x1, y1)/param/// param namepoint2第二个点 (x2, y2)/param/// param namepoint3第三个点 (x3, y3)/param/// returns圆心坐标 (cx, cy)/returnspublicstatic(doublecx,doublecy)FitCircleFromThreePoints((doublex,doubley)point1,(doublex,doubley)point2,(doublex,doubley)point3){// 解法基于三点确定一个圆的几何原理// 设圆心为 (cx, cy)则有// (x1-cx)² (y1-cy)² (x2-cx)² (y2-cy)² (x3-cx)² (y3-cy)² r²doublex1point1.x,y1point1.y;doublex2point2.x,y2point2.y;doublex3point3.x,y3point3.y;// 计算中间变量doubleAx2-x1;doubleBy2-y1;doubleCx3-x1;doubleDy3-y1;doubleEA*(x1x2)B*(y1y2);doubleFC*(x1x3)D*(y1y3);doubleG2*(A*(y3-y1)-B*(x3-x1));// 避免除以零三点共线的情况if(Math.Abs(G)1e-10){thrownewArgumentException(三点共线无法确定唯一的圆);}// 计算圆心坐标doublecx(D*E-B*F)/G;doublecy(A*F-C*E)/G;return(cx,cy);}/// summary/// 计算圆的半径/// /summarypublicstaticdoubleCalculateRadius((doublex,doubley)center,(doublex,doubley)point){doubledxpoint.x-center.x;doubledypoint.y-center.y;returnMath.Sqrt(dx*dxdy*dy);}}二 使用publicpartialclassForm1:Form{publicForm1(){InitializeComponent();}privatevoidbutton1_Click(objectsender,EventArgse){try{// 拟合圆的三个点坐标varpoint1(x:3332.24,y:1807.67);varpoint2(x:3099.6,y:1922.86);varpoint3(x:2838.07,y:2000.45);// 计算圆心varcenterCircleFitter.FitCircleFromThreePoints(point1,point2,point3);MessageBox.Show($圆心坐标: ({center.cx:F4},{center.cy:F4}));// 计算半径使用第一个点doubleradiusCircleFitter.CalculateRadius(center,point1);MessageBox.Show($圆的半径:{radius:F4});}catch(ArgumentExceptionex){Console.WriteLine($错误:{ex.Message});}}}