OpenGL实现贝塞尔曲线或曲面
本文实例为大家分享了OpenGL实现贝塞尔曲线或曲面的具体代码,供大家参考,具体内容如下
理论基础
贝塞尔曲线和曲面:OpenGL只能直接绘制基本图元,对于曲线和曲面我们一般采用一系列线段或多边形来模拟的,这样当线段或多边形增多时必定很耗性能。其实对于这种曲线和曲面,我们可以使用一些控制点,通过求值器程序先计算出坐标等信息,然后直接用这些数据绘制,这样不仅节省内存,还提高了模拟曲线或曲面的精度(本质还是通过线段或多边形绘制的,只是求值器提前算出了曲线或曲面的顶点信息)。
求值器使用一般步骤:1.启用求值器 2.定义求值器 3.执行求值器。
注释:OpenGl3.1后,本节内容都已经废弃了,这些顶点着色器都可以实现了。
代码示例
1、曲线
#include "GLTools.h" #ifdef __APPLE__ #include <glut/glut.h> #else #define FREEGLUT_STATIC #include <GL/glut.h> #endif //控制点 GLfloat ctrlpoints[4][3] = { { -4.0, -4.0, 0.0}, { -2.0, 4.0, 0.0}, {2.0, -4.0, 0.0}, {4.0, 4.0, 0.0}}; void init(void) { glClearColor(0.0, 0.0, 0.0, 0.0); glShadeModel(GL_FLAT); //定义一维求值器 glMap1f(GL_MAP1_VERTEX_3, 0.0, 1.0, 3, 4, &ctrlpoints[0][0]); //启动求职器 glEnable(GL_MAP1_VERTEX_3); } void display(void) { int i; glClear(GL_COLOR_BUFFER_BIT); glColor3f(1.0, 1.0, 1.0); glBegin(GL_LINE_STRIP); for (i = 0; i <= 30; i++) glEvalCoord1f((GLfloat) i/30.0);//执行求值器,每执行一次产生一个坐标 glEnd(); //绘制4个控制点 glPointSize(5.0); glColor3f(1.0, 1.0, 0.0); glBegin(GL_POINTS); for (i = 0; i < 4; i++) glVertex3fv(&ctrlpoints[i][0]); glEnd(); glFlush(); } void reshape(int w, int h) { glViewport(0, 0, (GLsizei) w, (GLsizei) h); glMatrixMode(GL_PROJECTION); glLoadIdentity(); if (w <= h) glOrtho(-5.0, 5.0, -5.0*(GLfloat)h/(GLfloat)w, 5.0*(GLfloat)h/(GLfloat)w, -5.0, 5.0); else glOrtho(-5.0*(GLfloat)w/(GLfloat)h, 5.0*(GLfloat)w/(GLfloat)h, -5.0, 5.0, -5.0, 5.0); glMatrixMode(GL_MODELVIEW); glLoadIdentity(); } void keyboard(unsigned char key, int x, int y) { switch (key) { case 27: exit(0); break; } } int main(int argc, char** argv) { glutInit(&argc, argv); glutInitDisplayMode (GLUT_SINGLE | GLUT_RGB); glutInitWindowSize (500, 500); glutInitWindowPosition (100, 100); glutCreateWindow (argv[0]); init (); glutDisplayFunc(display); glutReshapeFunc(reshape); glutKeyboardFunc (keyboard); glutMainLoop(); return 0; }
2、曲面
#include "GLTools.h" #ifdef __APPLE__ #include <glut/glut.h> #else #define FREEGLUT_STATIC #include <GL/glut.h> #endif GLfloat ctrlpoints[4][4][3] = { {{ -1.5, -1.5, 4.0}, { -0.5, -1.5, 2.0}, {0.5, -1.5, -1.0}, {1.5, -1.5, 2.0}}, {{ -1.5, -0.5, 1.0}, { -0.5, -0.5, 3.0}, {0.5, -0.5, 0.0}, {1.5, -0.5, -1.0}}, {{ -1.5, 0.5, 4.0}, { -0.5, 0.5, 0.0}, {0.5, 0.5, 3.0}, {1.5, 0.5, 4.0}}, {{ -1.5, 1.5, -2.0}, { -0.5, 1.5, -2.0}, {0.5, 1.5, 0.0}, {1.5, 1.5, -1.0}} }; GLfloat texpts[2][2][2] = {{{0.0, 0.0}, {0.0, 1.0}}, {{1.0, 0.0}, {1.0, 1.0}}}; void display(void) { glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT); glColor3f(1.0, 1.0, 1.0); glEvalMesh2(GL_FILL, 0, 20, 0, 20);//glMapGrid2f()均匀产生坐标值,这里执行绘制 glFlush(); } #define imageWidth 64 #define imageHeight 64 GLubyte image[3*imageWidth*imageHeight]; //纹理数据 void makeImage(void) { int i, j; float ti, tj; for (i = 0; i < imageWidth; i++) { ti = 2.0*3.14159265*i/imageWidth; for (j = 0; j < imageHeight; j++) { tj = 2.0*3.14159265*j/imageHeight; image[3*(imageHeight*i+j)] = (GLubyte) 127*(1.0+sin(ti)); image[3*(imageHeight*i+j)+1] = (GLubyte) 127*(1.0+cos(2*tj)); image[3*(imageHeight*i+j)+2] = (GLubyte) 127*(1.0+cos(ti+tj)); } } } void init(void) { //定义了两个求值器程序 glMap2f(GL_MAP2_VERTEX_3, 0, 1, 3, 4, 0, 1, 12, 4, &ctrlpoints[0][0][0]); glMap2f(GL_MAP2_TEXTURE_COORD_2, 0, 1, 2, 2, 0, 1, 4, 2, &texpts[0][0][0]); glEnable(GL_MAP2_TEXTURE_COORD_2); glEnable(GL_MAP2_VERTEX_3); glMapGrid2f(20, 0.0, 1.0, 20, 0.0, 1.0);//均匀产生坐标 //纹理属性设置 makeImage(); glTexEnvf(GL_TEXTURE_ENV, GL_TEXTURE_ENV_MODE, GL_DECAL); glTexParameteri(GL_TEXTURE_2D, GL_TEXTURE_WRAP_S, GL_REPEAT); glTexParameteri(GL_TEXTURE_2D, GL_TEXTURE_WRAP_T, GL_REPEAT); glTexParameteri(GL_TEXTURE_2D, GL_TEXTURE_MAG_FILTER, GL_NEAREST); glTexParameteri(GL_TEXTURE_2D, GL_TEXTURE_MIN_FILTER, GL_NEAREST); glTexImage2D(GL_TEXTURE_2D, 0, GL_RGB, imageWidth, imageHeight, 0, GL_RGB, GL_UNSIGNED_BYTE, image); glEnable(GL_TEXTURE_2D); glEnable(GL_DEPTH_TEST); glShadeModel (GL_FLAT); } void reshape(int w, int h) { glViewport(0, 0, (GLsizei) w, (GLsizei) h); glMatrixMode(GL_PROJECTION); glLoadIdentity(); if (w <= h) glOrtho(-4.0, 4.0, -4.0*(GLfloat)h/(GLfloat)w, 4.0*(GLfloat)h/(GLfloat)w, -4.0, 4.0); else glOrtho(-4.0*(GLfloat)w/(GLfloat)h, 4.0*(GLfloat)w/(GLfloat)h, -4.0, 4.0, -4.0, 4.0); glMatrixMode(GL_MODELVIEW); glLoadIdentity(); glRotatef(85.0, 1.0, 1.0, 1.0); } void keyboard(unsigned char key, int x, int y) { switch (key) { case 27: exit(0); break; } } int main(int argc, char** argv) { glutInit(&argc, argv); glutInitDisplayMode (GLUT_SINGLE | GLUT_RGB | GLUT_DEPTH); glutInitWindowSize (500, 500); glutInitWindowPosition (100, 100); glutCreateWindow (argv[0]); init (); glutDisplayFunc(display); glutReshapeFunc(reshape); glutKeyboardFunc(keyboard); glutMainLoop(); return 0; }
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