Currently I am working on a program that is able to draw a spline based on four points. As can be seen below, I currently have it so that you need to manually enter these points into the code. I am hoping to change that using mouse clicks. What I intend to do is have the user be able to click on the image, which draws a dot immediately. This will be able to be done as many times as the user wants, but it will draw a spline when every four points are drawn. I am running into two problems. Firstly when trying to implement a simple mouse click to just draw a circle in onMouse
, it is not working. Secondly, I am wondering how I will be able to store the coordinates of each mouse click as they are happening, so I can create a loop that plugs these coordinates into the below matrix equations to draw a spline while the program is running. I have an idea of how I can store the first, but I am not sure how to handle multiple coordinates as well as how to have a definite variable name for each that I can put into the equations. Apologies for the long post, I have some big aspirations for this project despite having limited experience, so I would appreciate some guidance.
#include <iostream>
#include<opencv2/core/core.hpp> //Mat is defined there
#include<opencv2/imgproc/imgproc.hpp> //resize an image
#include<opencv2/highgui/highgui.hpp> //input or output: imread(), imshow()
using namespace std;
using namespace cv;
Mat img;
void onMouse(int event, int x, int y, int flags, void* param)
{
if (event == EVENT_LBUTTONDOWN)
{
printf("(%d, %d)\n", x, y);
int r = 1;
circle(img, Point(x, y), r, Scalar(0, 255, 100), 5);
}
}
int main(int argc, char** argv)
{
img.create(600, 800, CV_8UC3);
img = Scalar(255, 255, 255);
double a_values[3][2] = { { 2.0, 1 }, { 0.0, 3.0 }, { -2.0, -4.0 } };
//A.create(3, 2, CV_64FC1); //create a matrix 3x2 with double value
Mat A = Mat(3, 2, CV_64FC1, a_values); //Constructor: pass the values directly using a 2D array.
printf("matrix A:\n");
cout << A << endl;
Mat B;
B.create(2, 2, CV_64FC1); //2x2 matrix
B.ptr<double>(0)[0] = 1.0;
B.ptr<double>(0)[1] = 2.0;
B.ptr<double>(1)[0] = 0.0;
B.ptr<double>(1)[1] = -2.0;
printf("matrix B:\n");
cout << B << endl;
Mat C = A * B; //Matrix product
printf("matrix C:\n");
cout << C << endl;
Mat B_inv = B.inv();
printf("matrix B inverse:\n");
cout << B_inv << endl;
double m_values[4][4] = { { 0, 0, 0, 1 }, { 1, 1, 1, 1 }, { 0, 0, 1, 0 }, { 3, 2, 1, 0 } };
Mat M = Mat(4, 4, CV_64FC1, m_values);
Mat M_inv = M.inv();
printf("matrix M inverse:\n");
cout << M_inv << endl;
double h_values[4][4] = { { 2, -2, 1, 1 }, { -3, 3, -2, -1 }, { 0, 0, 1, 0 }, { 1, 0, 0, 0 } };
Mat Hermite = Mat(4, 4, CV_64FC1, h_values);
double point_values[4][2] = { { 200, 350 }, { 220, 400 }, { 600, 300 }, { 390, 300 } };
Mat Points = Mat(4, 2, CV_64FC1, point_values);
Mat Final = Hermite * Points;
printf("Final matrix:\n");
cout << Final << endl;
/* If there are two points P1(30, 50) and P2(80, 120), I want to draw a spline between
them and also make sure the speed of the spline at point P1 equals(500, 2) and at P2 equals(10, 1000). */
//Draw 1st point
circle(img, Point(200, 350), 1, Scalar(0, 0, 255), 3);
//Draw 2nd point
circle(img, Point(220, 400), 1, Scalar(0, 0, 255), 3);
circle(img, Point(400, 450), 1, Scalar(0, 0, 255), 3);
circle(img, Point(350, 500), 1, Scalar(0, 0, 255), 3);
//Draw the spline between 1st and 2nd points
//Use a loop on t [0, 1], for different t values, compute x(t), y(t); then use circle() to draw it
// x(t) = axt3 + bxt2 + cxt + dx
// y(t) = ayt3 + byt2 + cyt + dy
double ax = (int)(Final.at<double>(0, 0));
double ay = (int)(Final.at<double>(0, 1));
double bx = (int)(Final.at<double>(1, 0));
double by = (int)(Final.at<double>(1, 1));
double cx = (int)(Final.at<double>(2, 0));
double cy = (int)(Final.at<double>(2, 1));
double dx = (int)(Final.at<double>(3, 0));
double dy = (int)(Final.at<double>(3, 1));
printf("ax:\n");
cout << ax << endl;
printf("dx:\n");
cout << dx << endl;
for (double t = 0.0; t <= 1.0; t += 0.001)
{
int x = ax * t * t * t + bx * t * t + cx * t + dx;
int y = ay * t * t * t + by * t * t + cy * t + dy;
circle(img, Point(x, y), 1, Scalar(0, 0, 0), 1);
}
while (1)
{
imshow("Spline", img);
char c = waitKey(1);
if (c == 27)
break;
}
return 1;
}
You defined onMouse
function, but you did not register it to any window. You need to create window with cv::namedWindow
and then register your callback for mouse with cv::setMouseCallback
. In your case, just add this before anything in your main
function:
cv::namedWindow("Spline");
cv::setMouseCallback("Spline", onMouse);
Here is the simple program to draw circle/point to provided image. It will store point where you clicked and it will draw all points to the image.
#include <opencv2/opencv.hpp>
std::vector<cv::Point> points;
void onMouse(int action, int x, int y, int, void*) {
if (action == cv::EVENT_LBUTTONDOWN) {
points.push_back(cv::Point{x, y});
}
}
int main(int argc, char** argv) {
const auto mainWindow = "Main Window";
cv::namedWindow(mainWindow);
cv::setMouseCallback(mainWindow, onMouse);
cv::Mat image {600, 800, CV_8UC3, cv::Scalar{255, 255, 255}};
while (true) {
for (const auto& point : points) {
cv::circle(image, point, 5, cv::Scalar{0, 200, 0}, -1);
}
cv::imshow(mainWindow, image);
cv::waitKey(25);
}
cv::waitKey();
cv::destroyAllWindows();
return 0;
}
EDIT: Be aware that this solution will re-render old points. You can improve this by drawing just new points. When you click, add that point to temporary vector
and when you draw all points from temporary vector
, clear that vector
. For more improvement, you can check if vector
is not empty and than call cv::imshow
.
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