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两点三次Hermiter插值C++代码
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#include <math.h> #include <gl/glut.h> #include <iostream> usingnamespace std; struct Point2 { double x; double y; Point2(int px, int py) { x = px; y = py; } }; Point2 P0(100, 200); Point2 P1(350, 200); Point2 derP0(200, 200); Point2 derP1(200, 200); bool mouseLeftDown = false; bool mouseRightDown = false; /*计算Hermite曲线*/void Hermit(int n) { float f1, f2, f3, f4; double deltaT = 1.0 / n; glBegin(GL_LINE_STRIP); for (int i = 0; i <= n; i++) { double T = i * deltaT; f1 = 2.0*pow(T, 3) - 3.0*pow(T, 2) + 1.0; f2 = -2.0*pow(T, 3) + 3.0*pow(T, 2); f3 = pow(T, 3) - 2.0*pow(T, 2) + T; f4 = pow(T, 3) - pow(T, 2); glVertex2f(f1*P0.x + f2*P1.x + f3*derP0.x + f4*derP1.x, f1*P0.y + f2*P1.y + f3*derP0.y + f4*derP1.y); } glEnd(); } /*用鼠标进行绘制,完成后可改变控制点,拖动即可*/void display() { glClear(GL_COLOR_BUFFER_BIT); glLineWidth(1.5); glColor3f(1.0, 0.0, 0.0); glBegin(GL_LINES); glVertex2f(P0.x, P0.y); glVertex2f(P0.x + derP0.x / 4, P0.y + derP0.y / 4); glVertex2f(P1.x, P1.y); glVertex2f(P1.x - derP1.x / 4, P1.y - derP1.y / 4); glEnd(); glColor3f(0.0, 0.0, 1.0); glPointSize(10.0f); glBegin(GL_POINTS); glVertex2f(P0.x, P0.y); glVertex2f(P0.x + derP0.x / 4, P0.y + derP0.y / 4); glVertex2f(P1.x, P1.y); glVertex2f(P1.x - derP1.x / 4, P1.y - derP1.y / 4); glEnd(); Hermit(20); glFlush(); glutSwapBuffers(); } void init() { glClearColor(1.0, 1.0, 1.0, 0.0); glShadeModel(GL_FLAT); } void myReshape(int w, int h) { glViewport(0, 0, (GLsizei)w, (GLsizei)h); glMatrixMode(GL_PROJECTION); glLoadIdentity(); gluOrtho2D(0.0, (GLsizei)w, (GLsizei)h, 0.0); glMatrixMode(GL_MODELVIEW); glLoadIdentity(); } void mouse(int button, int state, int x, int y) { if (button == GLUT_LEFT_BUTTON && state == GLUT_DOWN) { mouseLeftDown = true; } if (button == GLUT_LEFT_BUTTON && state == GLUT_UP) { mouseLeftDown = false; } if (button == GLUT_RIGHT_BUTTON && state == GLUT_DOWN) { mouseRightDown = true; } if (button == GLUT_RIGHT_BUTTON && state == GLUT_UP) { mouseRightDown = false; } } double distance(int x1, int y1, int x2, int y2) { return sqrt((x1 - x2) * (x1 - x2) + (y1 - y2) * (y1 - y2)); } void motion(int x, int y) { if (mouseLeftDown) { if (distance(P0.x + derP0.x / 4, P0.y + derP0.y / 4, x, y) < 20) { derP0.x = (x - P0.x) * 4; derP0.y = (y - P0.y) * 4; } if (distance(P1.x - derP1.x / 4, P1.y - derP1.y / 4, x, y) < 20) { derP1.x = (P1.x - x) * 4; derP1.y = (P1.y - y) * 4; } } glutPostRedisplay(); } int main(int argc, char** argv) { glutInit(&argc, argv); glutInitDisplayMode(GLUT_DOUBLE | GLUT_RGB); glutInitWindowSize(450, 450); glutInitWindowPosition(200, 200); glutCreateWindow("hello"); init(); glutDisplayFunc(display); glutReshapeFunc(myReshape); glutMouseFunc(mouse); glutMotionFunc(motion); glutMainLoop(); return0; }
原文:https://www.cnblogs.com/yibeimingyue/p/11178141.html
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