X以外的绕轴旋转使三维物体平坦
X以外的绕轴旋转使三维物体平坦
提问于 2022-02-27 21:32:59
在我的程序中，我从GLTF文件中加载一个多维数据集，并使用我自己实现的数学对象(如向量、矩阵和四元数)来显示它。
当我试图旋转立方体时，我的程序就是这样画的：
X轮：
而Y轮调：
正如你所看到的，如果我的立方体是平的，那么Y旋转看起来就像。
我试着找出罪魁祸首，但现在还没找到。但我百分之百肯定：
，
- ，它不是GLTF加载程序的错误，因为我的测试显示立方体的数据是正确加载的，
，
- ，这不是我的数学模块错误，因为我的测试再次告诉我，计算是正确的
- ，只有当我试图围绕Y和Z轴旋转时才会发生。X轴旋转，不知何故没有这个问题，
，
我唯一不确定的是着色器。但是我的着色代码是最简单的：
#version 330 core
layout (location = 0) in vec3 position;
layout (location = 1) in vec3 normal;
uniform mat4 projection;
uniform mat4 view;
out vec3 fragNormal;
out float distance;
void main()
{
gl_Position = projection * view * vec4(position, 1.0);
vec4 tmp = view * vec4(position, 1.0);
distance = tmp.z + 10.0;
fragNormal = normal;
}#version 330 core
in vec3 fragNormal;
in float distance;
out vec4 FragColor;
void main()
{
FragColor = vec4(1.0f, 1.0f, 1.0f, 1.0f) * distance;
}我真的不知道我还能去哪儿看看。另外，我希望为我的程序的其余部分提供我的代码，但在这一点上，很显然不可能把它放在这篇文章中，因为我的程序有很多行代码。
那么，这个错误是如何发生的呢？
编辑：
我的投影矩阵是fov=45°、near=0.1、far=100.0的标准透视图：
|1.29996 0 0 0 |
|0 2.41421 0 0 |
|0 0 -1.002 -0.2002 |
|0 0 -1 0 |视图矩阵改变:它是一个平移矩阵(x=0，y=0，z=-10)乘以(从右)与一个旋转矩阵(在下面的列表绕Y轴在一定程度上)
| 0.5 0 0 0 |
| 0 1 0 0 |
| -0.866026 0 0.5 -10 |
| 0 0 0 1 |旋转是从四元数取来的，但也可以直接从旋转矩阵中计算。这个错误与我如何计算旋转矩阵无关。
回答 1
Stack Overflow用户
发布于 2022-02-28 21:09:20
我已经找到了错误所在:矩阵类的乘法方法。不知何故，这个代码：
mat4 operator* (const mat4& other) const {
T _c11 = c11 * other.c11 + c12 * other.c21 + c13 * other.c31 + c14 * other.c41;
T _c12 = c11 * other.c12 + c12 * other.c22 + c13 * other.c32 + c14 * other.c42;
T _c13 = c11 * other.c13 + c12 * other.c23 + c13 * other.c33 + c14 * other.c43;
T _c14 = c11 * other.c14 + c12 * other.c24 + c13 * other.c34 + c14 * other.c44;
T _c21 = c21 * other.c11 + c22 * other.c21 + c23 * other.c31 + c24 * other.c41;
T _c22 = c21 * other.c12 + c22 * other.c22 + c23 * other.c32 + c24 * other.c42;
T _c23 = c21 * other.c13 + c22 * other.c23 + c23 * other.c33 + c24 * other.c43;
T _c24 = c21 * other.c14 + c22 * other.c24 + c23 * other.c34 + c24 * other.c44;
T _c31 = c31 * other.c11 + c32 * other.c21 + c33 * other.c31 + c34 * other.c41;
T _c32 = c31 * other.c12 + c32 * other.c22 + c33 * other.c32 + c34 * other.c42;
T _c33 = c31 * other.c13 + c32 * other.c23 + c33 * other.c33 + c34 * other.c43;
T _c34 = c31 * other.c14 + c32 * other.c24 + c33 * other.c34 + c34 * other.c44;
T _c41 = c41 * other.c11 + c42 * other.c21 + c43 * other.c31 + c44 * other.c41;
T _c42 = c41 * other.c12 + c42 * other.c22 + c43 * other.c32 + c44 * other.c42;
T _c43 = c41 * other.c13 + c42 * other.c23 + c43 * other.c33 + c44 * other.c43;
T _c44 = c41 * other.c14 + c42 * other.c24 + c43 * other.c34 + c44 * other.c44;
return mat4{_c11, c12, c13, _c14,
_c21, _c22, _c23, _c24,
_c31, _c32, _c33, _c34,
_c41, _c42, _c43, _c44};
}不是这样的代码：
mat4 operator* (const mat4& other) const {
mat4<T> result;
result.c11 = c11 * other.c11 + c12 * other.c21 + c13 * other.c31 + c14 * other.c41;
result.c12 = c11 * other.c12 + c12 * other.c22 + c13 * other.c32 + c14 * other.c42;
result.c13 = c11 * other.c13 + c12 * other.c23 + c13 * other.c33 + c14 * other.c43;
result.c14 = c11 * other.c14 + c12 * other.c24 + c13 * other.c34 + c14 * other.c44;
result.c21 = c21 * other.c11 + c22 * other.c21 + c23 * other.c31 + c24 * other.c41;
result.c22 = c21 * other.c12 + c22 * other.c22 + c23 * other.c32 + c24 * other.c42;
result.c23 = c21 * other.c13 + c22 * other.c23 + c23 * other.c33 + c24 * other.c43;
result.c24 = c21 * other.c14 + c22 * other.c24 + c23 * other.c34 + c24 * other.c44;
result.c31 = c31 * other.c11 + c32 * other.c21 + c33 * other.c31 + c34 * other.c41;
result.c32 = c31 * other.c12 + c32 * other.c22 + c33 * other.c32 + c34 * other.c42;
result.c33 = c31 * other.c13 + c32 * other.c23 + c33 * other.c33 + c34 * other.c43;
result.c34 = c31 * other.c14 + c32 * other.c24 + c33 * other.c34 + c34 * other.c44;
result.c41 = c41 * other.c11 + c42 * other.c21 + c43 * other.c31 + c44 * other.c41;
result.c42 = c41 * other.c12 + c42 * other.c22 + c43 * other.c32 + c44 * other.c42;
result.c43 = c41 * other.c13 + c42 * other.c23 + c43 * other.c33 + c44 * other.c43;
result.c44 = c41 * other.c14 + c42 * other.c24 + c43 * other.c34 + c44 * other.c44;
return result;
}可能我遇到了一些编译器实现细节。
页面原文内容由Stack Overflow提供。腾讯云小微IT领域专用引擎提供翻译支持
原文链接：
https://stackoverflow.com/questions/71288630
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