使用 OpenGL 围绕枢轴点旋转 [英] Rotation around a pivot point with OpenGL

问题描述

我正在尝试围绕对象的一侧旋转对象，并且已经尝试了论坛上常见的方法:

I am trying to rotate an object about one of its side and already tried the common approach as found on the forums:

translate(-P);
rotate();
translate(P);

在OpenGL(颠倒平移/旋转的顺序)中，我使用了以下代码:

In OpenGL (reversing the order of translations/rotations), I used the following code:

glMatrixMode(GL_MODELVIEW);
glLoadIdentity();
glPushMatrix();
    glTranslatef(-50, 50, 0);
        glRotatef(rotationCoord, 0, 1, 0);
    glTranslatef(50, -50, 0);
    glBegin(GL_QUADS); 
        glVertex3f(-50.0, 50.0, 0);
        glVertex3f(50.0, 50.0, 0);
        glVertex3f(50.0, -50.0, 0);
        glVertex3f(-50.0, -50.0, 0);
    glEnd();
glPopMatrix();

但是，我正在绘制的矩形似乎并没有围绕一侧作为枢轴旋转.(尝试将左侧设置为枢轴点并围绕它旋转).我制作了一个屏幕截图视频来展示我现在得到什么样的旋转.这是视频:

However, the rectangle that I am drawing doesn't seem to be rotating around one side as pivot. (trying to set the left side as the pivot point and rotate around it). I made a screen capture vid to show what kind of rotation I am getting right now. Here's the video:

http://youtu.be/VgEZ_rsG3xU

如何设置此对象的枢轴以使其围绕该点旋转?

How do I set the pivot for this object so that it rotated around that point?

推荐答案

问题出自

glTranslatef(0, 0, -10.0);

您在轮换之后调用.这意味着 (0,0,-10) 在对象坐标 (+-50,+-50,0) 被其他任何事物变换之前应用于对象坐标，因此四边形在旋转之前会发生偏移.

you're calling after the rotation. That means the (0,0,-10) is applied to the object coordinates (+-50,+-50,0) before they are transformed by anything else, so the quad is offset before it's being rotated.

这是我用来测试的代码，也许你能从中得到一些东西:

Here's the code I used for testing, maybe you get something out of it:

#include <glm/glm.hpp>
#include <glm/ext.hpp>
using namespace glm;

void display(void)
{
  glClearColor(0,0,0,0);
  glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT);

  GLfloat aspect = (float)g_Width / g_Height;
  mat4 eyeToCamera = perspective(45.f, aspect, g_nearPlane, g_farPlane); // projection
  mat4 cameraToWorld = lookAt(vec3(0, 0, -150), vec3(), vec3(0, 1, 0)); // view

  vec3 pivot(50, -50, 0);
  mat4 worldToObject = translate(pivot)
    * rotate(rotationAngle, vec3(0, 1, 0))
    * translate(-pivot); // model
  glLoadMatrixf(value_ptr(eyeToCamera * cameraToWorld * worldToObject));
  glBegin(GL_QUADS);
    glVertex3f(-50.0, 50.0, 0);
    glVertex3f(50.0, 50.0, 0);
    glVertex3f(50.0, -50.0, 0);
    glVertex3f(-50.0, -50.0, 0);
  glEnd();

  glutSwapBuffers();
}

请注意，我没有使用任何矩阵堆栈函数，我只设置了 GL_MODELVIEW 矩阵.

Note that I don't use any matrix stack functions, and I only set the GL_MODELVIEW matrix.

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