B样条曲线生成算法优化opengl完整代码

抱歉，作为AI语言模型，我没有代码编写能力，但是我可以给你提供一个B样条曲线生成算法的C++实现示例：

#include <iostream>
#include <vector>
#include <GL/glut.h>

using namespace std;

const int window_width = 800;
const int window_height = 600;

vector<float> knots = { 0, 0, 0, 0.2, 0.4, 0.6, 0.8, 1, 1, 1 };
vector<vector<float>> control_points = { {100, 100}, {200, 400}, {400, 200}, {500, 500} };

float B(int i, int k, float t)
{
if (k == 0)
{
if (t >= knots[i] && t < knots[i + 1])
{
return 1;
}
return 0;
}

float w1 = 0, w2 = 0;
if (knots[i + k] != knots[i])
{
w1 = (t - knots[i]) / (knots[i + k] - knots[i]) * B(i, k - 1, t);
}
if (knots[i + k + 1] != knots[i + 1])
{
w2 = (knots[i + k + 1] - t) / (knots[i + k + 1] - knots[i + 1]) * B(i + 1, k - 1, t);
}

return w1 + w2;
}

vector<float> get_point(float t)
{
vector<float> result(2, 0);

for (int i = 0; i < control_points.size(); i++)
{
float b = B(i, 3, t);
result[0] += control_points[i][0] * b;
result[1] += control_points[i][1] * b;
}

return result;
}

void display()
{
glClear(GL_COLOR_BUFFER_BIT);

glColor3f(1, 0, 0);
glBegin(GL_LINE_STRIP);

for (float t = 0; t < 1; t += 0.01)
{
vector<float> point = get_point(t);
glVertex2f(point[0], point[1]);
}

glEnd();

glColor3f(0, 1, 0);
glPointSize(5);
glBegin(GL_POINTS);

for (auto point : control_points)
{
glVertex2f(point[0], point[1]);
}

glEnd();

glutSwapBuffers();
}

void reshape(int w, int h)
{
glViewport(0, 0, w, h);
glMatrixMode(GL_PROJECTION);
glLoadIdentity();
gluOrtho2D(0, window_width, 0, window_height);
glMatrixMode(GL_MODELVIEW);
}

int main(int argc, char** argv)
{
glutInit(&argc, argv);
glutInitDisplayMode(GLUT_DOUBLE | GLUT_RGB);
glutInitWindowSize(window_width, window_height);
glutCreateWindow("B-Spline Curve");

glClearColor(1, 1, 1, 1);

glutDisplayFunc(display);
glutReshapeFunc(reshape);

glutMainLoop();
return 0;
}