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Fix #70

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Meow J
2017-05-13 00:54:24 +08:00
parent 549bbfbdcc
commit f837a85526
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docs/05 Advanced Lighting/04 Normal Mapping.md
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@@ -127,7 +127,7 @@ $$
\begin{bmatrix} \Delta U_1 & \Delta V_1 \\ \Delta U_2 & \Delta V_2 \end{bmatrix}^{-1} \begin{bmatrix} E_{1x} & E_{1y} & E_{1z} \\ E_{2x} & E_{2y} & E_{2z} \end{bmatrix} = \begin{bmatrix} T_x & T_y & T_z \\ B_x & B_y & B_z \end{bmatrix}
$$
这样我们就可以解出\(T\)和\(B\)了。这需要我们计算出delta纹理坐标矩阵的拟阵。我不打算讲解计算逆矩阵的细节，但大致是把它变化为，1除以矩阵的行列式，再乘以它的共轭矩阵。
这样我们就可以解出\(T\)和\(B\)了。这需要我们计算出delta纹理坐标矩阵的拟阵。我不打算讲解计算逆矩阵的细节，但大致是把它变化为，1除以矩阵的行列式，再乘以它的伴随矩阵(Adjugate Matrix)。
$$
\begin{bmatrix} T_x & T_y & T_z \\ B_x & B_y & B_z \end{bmatrix} = \frac{1}{\Delta U_1 \Delta V_2 - \Delta U_2 \Delta V_1} \begin{bmatrix} \Delta V_2 & -\Delta V_1 \\ -\Delta U_2 & \Delta U_1 \end{bmatrix} \begin{bmatrix} E_{1x} & E_{1y} & E_{1z} \\ E_{2x} & E_{2y} & E_{2z} \end{bmatrix}