OpenGL透视投影矩阵问题

Question

我真的不明白我在透视矩阵创建代码中做错了什么：

public static Matrix4f perspective(float fov, float width, float height,
            float Near, float Far) {
        Matrix4f projection = new Matrix4f(0);

        float a = width / height;
        float h = 1.0f/(float) Math.tan(Math.toRadians(fov / 2));
        float depth = Near - Far;

        // x&y
        projection.values[0][0] = h/a;
        projection.values[1][1] = h;
        projection.values[2][2] = ((Far + Near)/depth);
        projection.values[2][3] = 2.0f *(Far * Near) / depth;
        projection.values[3][2] = -1.0f;

        return projection;
    }

然后当我将它发送到着色器时，我之前将它与模型视图矩阵相乘，如下所示：

math.mul(camera.getMatrix(), mesh.transform.getMatrix());

这意味着

P*M

使用其他语言可以覆盖运算符，因为我没有来自相机的视图矩阵。

发生的事情是 3d 模型是平面的，当我旋转它时，它真的变形了。我整天都在尝试找出问题所在，但我没有运气。

我做错了什么？有什么我忘了的吗？

编辑：

可能我的乘法代码有问题：

乘法码：

public static Matrix4f mul(Matrix4f m1, Matrix4f m2) {
        Matrix4f result = new Matrix4f();
        for (int j = 0; j < 4; j++) {
            for (int i = 0; i < 4; i++) {
                float sum = 0;

                for (int n = 0; n < 4; n++) {
                    sum += m1.values[n][i] * m2.values[j][n];
                }

                result.values[j][i] = sum;
            }
        }
        return result;
    }

我什至尝试将乘法顺序从P * M换成M * P，但仍然没有解决问题。

我尝试在乘法后转置矩阵：

转置码：

 public static Matrix4f transpose(Matrix4f data)
        {
            Matrix4f result = new Matrix4f();
            for(int y = 0; y < 4; y++)
            {
                for(int x = 0; x < 4; x++)
                {
                    result.values[x][y] = data.values[y][x];
                }
            }
            return result;
        }

但这会导致更严重的失真。

编辑：

这里是投影矩阵的原始打印内存内容：

matrix[0][0] = 1.071111
matrix[0][1] = 0.0
matrix[0][2] = 0.0
matrix[0][3] = 0.0
matrix[1][0] = 0.0
matrix[1][1] = 1.428148
matrix[1][2] = 0.0
matrix[1][3] = 0.0
matrix[2][0] = 0.0
matrix[2][1] = 0.0
matrix[2][2] = -1.00002
matrix[2][3] = -0.0200002
matrix[3][0] = 0.0
matrix[3][1] = 0.0
matrix[3][2] = -1.0
matrix[3][3] = 0.0

这里是ModelView矩阵（转换）（模型位置=0,0,5）：

model[0][0] = 1.0
model[0][1] = 0.0
model[0][2] = 0.0
model[0][3] = 0.0
model[1][0] = 0.0
model[1][1] = 1.0
model[1][2] = 0.0
model[1][3] = 0.0
model[2][0] = 0.0
model[2][1] = 0.0
model[2][2] = 1.0
model[2][3] = 5.0
model[3][0] = 0.0
model[3][1] = 0.0
model[3][2] = 0.0
model[3][3] = 1.0

这里是M*P:

matrix[0][0] = 1.071111
matrix[0][1] = 0.0
matrix[0][2] = 0.0
matrix[0][3] = 0.0
matrix[1][0] = 0.0
matrix[1][1] = 1.428148
matrix[1][2] = 0.0
matrix[1][3] = 0.0
matrix[2][0] = 0.0
matrix[2][1] = 0.0
matrix[2][2] = -1.00002
matrix[2][3] = -5.0201
matrix[3][0] = 0.0
matrix[3][1] = 0.0
matrix[3][2] = -1.0
matrix[3][3] = -5.0

这里是P*M:

matrix[0][0] = 1.071111
matrix[0][1] = 0.0
matrix[0][2] = 0.0
matrix[0][3] = 0.0
matrix[1][0] = 0.0
matrix[1][1] = 1.428148
matrix[1][2] = 0.0
matrix[1][3] = 0.0
matrix[2][0] = 0.0
matrix[2][1] = 0.0
matrix[2][2] = -6.00002
matrix[2][3] = -0.0200002
matrix[3][0] = 0.0
matrix[3][1] = 0.0
matrix[3][2] = -1.0
matrix[3][3] = 0.0

Answer 1

答案属于@derhass:

"From the numbers given, it looks like M*P is the correct result. However, you store the matrices transposed to what GL (somewhat) defaults to. So either you use vec4 * mat4 in the shader, and it should work, or you have to transpose the result for the GL and can use the default mat4 * vec4 convetion"

OpenGL透视投影矩阵问题

OpenGL perspective projection matrix trouble

java

opengl

matrix

perspective