2.裁剪平面是在视图空间中进行计算的,而不是裁剪空间中,和通常的视锥体裁剪,图像裁剪不同;所以如果是正交投影,裁剪平面也是在3D视图坐标系中裁剪。
3.平面的方程为Ax + By + Cz + (- D)= 0 等于VecP * VecNormal + (-D) = 0,glClipPlane中定义的平面就是:
GLdouble eqn[4] = {0.0, -1.0, 0.0, 0.0}; A, B, C的定义是VecNormal上的平面,x,y, z却是平面上的点,D是平面上到原点距离的相反数。
4.法向量(A,B,C)指向的方向是平面的正方向,裁剪出来的空间也是法向量指向的空间,多个裁剪平面相互裁剪下是他们裁剪出来的空间的交集。
实例代码:
/* * Copyright (c) 1993-2003, Silicon Graphics, Inc. * All Rights Reserved * * Permission to use, copy, modify, and distribute this software for any * purpose and without fee is hereby granted, provided that the above * copyright notice appear in all copies and that both the copyright * notice and this permission notice appear in supporting documentation, * and that the name of Silicon Graphics, Inc. not be used in * advertising or publicity pertaining to distribution of the software * without specific, written prior permission. * * THE MATERIAL EMBODIED ON THIS SOFTWARE IS PROVIDED TO YOU "AS-IS" AND * WITHOUT WARRANTY OF ANY KIND, EXPRESS, IMPLIED OR OTHERWISE, * INCLUDING WITHOUT LIMITATION, ANY WARRANTY OF MERCHANTABILITY OR * FITNESS FOR A PARTICULAR PURPOSE. IN NO EVENT SHALL SILICON * GRAPHICS, INC. BE LIABLE TO YOU OR ANYONE ELSE FOR ANY DIRECT, * SPECIAL, INCIDENTAL, INDIRECT OR CONSEQUENTIAL DAMAGES OF ANY KIND, * OR ANY DAMAGES WHATSOEVER, INCLUDING WITHOUT LIMITATION, LOSS OF * PROFIT, LOSS OF USE, SAVINGS OR REVENUE, OR THE CLAIMS OF THIRD * PARTIES, WHETHER OR NOT SILICON GRAPHICS, INC. HAS BEEN ADVISED OF * THE POSSIBILITY OF SUCH LOSS, HOWEVER CAUSED AND ON ANY THEORY OF * LIABILITY, ARISING OUT OF OR IN CONNECTION WITH THE POSSESSION, USE * OR PERFORMANCE OF THIS SOFTWARE. * * US Government Users Restricted Rights * Use, duplication, or disclosure by the Government is subject to * restrictions set forth in FAR 52.227.19(c)(2) or subparagraph * (c)(1)(ii) of the Rights in Technical Data and Computer Software * clause at DFARS 252.227-7013 and/or in similar or successor clauses * in the FAR or the DOD or NASA FAR Supplement. Unpublished - rights * reserved under the copyright laws of the United States. * * Contractor/manufacturer is: * Silicon Graphics, Inc. * 1500 Crittenden Lane * Mountain View, CA 94043 * United State of America * * OpenGL(R) is a registered trademark of Silicon Graphics, Inc. */ /* * clip.c * This program demonstrates arbitrary clipping planes. */ #include <GL/glut.h> /*#include <stdlib.h> */ void init(void) { glClearColor (0.0, 0.0, 0.0, 0.0); glShadeModel (GL_FLAT); GLint clipPlanes; // 6,OGL中一般也是最多支持6个裁剪平面 glGetIntegerv(GL_MAX_CLIP_PLANES, &clipPlanes); } void display(void) { GLdouble eqn[4] = {0.0, 1.0, 0.0, -.5}; GLdouble eqn2[4] = {1.0, 0.0, 0.0, 0.0}; glClear(GL_COLOR_BUFFER_BIT); glColor3f (1.0, 1.0, 1.0); glPushMatrix(); glTranslatef (0.0, 0.0, -5.0); /* clip lower half -- y < 0 */ //glRotatef(45, 1, 0, 0); glClipPlane (GL_CLIP_PLANE0, eqn); glEnable (GL_CLIP_PLANE0); /* clip left half -- x < 0 */ glClipPlane (GL_CLIP_PLANE1, eqn2); glEnable (GL_CLIP_PLANE1); glRotatef (90.0, 1.0, 0.0, 0.0); glutWireSphere(1.0, 20, 16); glPopMatrix(); glFlush (); } void reshape (int w, int h) { glViewport (0, 0, (GLsizei) w, (GLsizei) h); glMatrixMode (GL_PROJECTION); glLoadIdentity (); gluPerspective(60.0, (GLfloat) w/(GLfloat) h, 1.0, 20.0); glMatrixMode (GL_MODELVIEW); } 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; }