代碼來自?https://blog.csdn.net/guduruyu/article/details/72866144，略有修改

#include <opencv2/opencv.hpp>#define ORDER 4bool polynomial_curve_fit(std::vector<cv::Point>& key_point, int n, cv::Mat& A)
{//Number of key pointsint N = key_point.size();//構造矩陣Xcv::Mat X = cv::Mat::zeros(n + 1, n + 1, CV_64FC1);for (int i = 0; i < n + 1; i++){for (int j = 0; j < n + 1; j++){for (int k = 0; k < N; k++){X.at<double>(i, j) = X.at<double>(i, j) +std::pow(key_point[k].x, i + j);}}}//構造矩陣Ycv::Mat Y = cv::Mat::zeros(n + 1, 1, CV_64FC1);for (int i = 0; i < n + 1; i++){for (int k = 0; k < N; k++){Y.at<double>(i, 0) = Y.at<double>(i, 0) +std::pow(key_point[k].x, i) * key_point[k].y;}}A = cv::Mat::zeros(n + 1, 1, CV_64FC1);//求解矩陣Acv::solve(X, Y, A, cv::DECOMP_LU);return true;
}int main()
{//創建用于繪制的深藍色背景圖像cv::Mat image = cv::Mat::zeros(480, 640, CV_8UC3);image.setTo(cv::Scalar(100, 0, 0));//輸入擬合點  std::vector<cv::Point> points;points.push_back(cv::Point(100., 58.));points.push_back(cv::Point(150., 70.));points.push_back(cv::Point(200., 90.));points.push_back(cv::Point(252., 140.));points.push_back(cv::Point(300., 220.));points.push_back(cv::Point(350., 400.));//將擬合點繪制到空白圖上  for (int i = 0; i < points.size(); i++){cv::circle(image, points[i], 5, cv::Scalar(0, 0, 255), 2, 8, 0);}//繪制折線cv::polylines(image, points, false, cv::Scalar(0, 255, 0), 1, 8, 0);cv::Mat A;polynomial_curve_fit(points, ORDER, A);std::cout << "A = " << A << std::endl;std::vector<cv::Point> points_fitted;for (int x = 0; x < 400; x++){double y = A.at<double>(0, 0);for(int i = 0; i < ORDER; i++){y += A.at<double>(i + 1, 0) *std::pow(x, i + 1);}points_fitted.push_back(cv::Point(x, y));}cv::polylines(image, points_fitted, false, cv::Scalar(0, 255, 255), 1, 8, 0);cv::imwrite("result.jpg", image);cv::imshow("image", image);cv::waitKey(0);return 0;
}

上面代碼中，如果ORDER為1，就是線性變換，

擬合結果為(黃色為擬合曲線)

如果ORDER為2，就是二維曲線，擬合結果為：

如果ORDER為3，就是三維曲線，擬合結果為：

如果ORDER為4，就是三維曲線，擬合結果為：

總結

以上是生活随笔為你收集整理的opencv拟合高维曲线的全部內容，希望文章能夠幫你解決所遇到的問題。

如果覺得生活随笔網站內容還不錯，歡迎將生活随笔推薦給好友。