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OpenGL 立体视图——如何使用 GLM 数学库进行水平偏移

[英]OpenGL Stereo View -- How to use GLM Math library for horizontal offset

原文 2020-10-30 18:34:39 0 1 c++/ math/ opengl/ linear-algebra/ glm-math

I'm trying to use the GLM mathematics library to warp the projection matrix such that multiple cameras (eg a left eye and a right eye) are viewing the same view, but the camera frustum is distorted.我正在尝试使用 GLM 数学库来扭曲投影矩阵，以便多个相机（例如左眼和右眼）正在查看相同的视图，但相机视锥被扭曲。

This is what I am trying to do with my cameras using GLM:这就是我尝试使用 GLM 对我的相机做的事情：

image图片

Note: One of the challenges I have for my camera, is that I only have in my OpenGL Graphics API a read-only view matrix and projection matrix.注意：我的相机面临的挑战之一是我的 OpenGL 图形 API 中只有一个只读视图矩阵和投影矩阵。 So even once I have the view and projection matrix, I can only move my camera using x,y,z for eye position, and then yaw,pitch,roll for view direction.因此，即使有了视图和投影矩阵，我也只能使用 x、y、z 来移动我的相机作为眼睛位置，然后使用偏航、俯仰、滚动作为视图方向。 Then I have standard OpenGL calls, but I am not sure how to shift or warp the projection matrix as shown below.然后我有标准的 OpenGL 调用，但我不确定如何移动或扭曲投影矩阵，如下所示。

I think this second picture also accurately shows what I am trying to achieve with OpenGL.我认为第二张图片也准确地显示了我试图用 OpenGL 实现的目标。

Any tips on how to approach this problem?有关如何解决此问题的任何提示？ Do I need to implement a special lookAt function, or is there something built into GLM that can help me compute the right view?我是否需要实现一个特殊的 lookAt 函数，或者 GLM 中是否有内置的东西可以帮助我计算正确的视图？

1 个解决方案

A possible way to do this is:一种可能的方法是：

Assume that X is the position of the "nose" (the half point between the 2 eyes).假设 X 是“鼻子”的位置（两只眼睛之间的半点）。
Let V be the direction orthogonal to the left eye - right eye line.令 V 为与左眼-右眼线正交的方向。
The function X + t * V describes the "line of sight" in your last picture.函数 X + t * V 描述了您最后一张图片中的“视线”。
Take t > 0 and set that as your look at point P/取 t > 0 并将其设置为点 P/
Create 2 cameras with centers at the eyes, both with the exact same up direction, then use glm::lookat to look at P.创建 2 个以眼睛为中心的相机，两者的向上方向完全相同，然后使用 glm::lookat 看 P。