改进格式
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@@ -188,8 +188,11 @@ $$
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$$
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一般来说,当针对一个空间点做矩阵转换时,如果$\boldsymbol{M}[u_x, u_y, u_z, 1]^T=[v_x,v_y,v_z,1]^T$,那么
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$$
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(k\boldsymbol{M})[u_x, u_y, u_z, 1]^T=k[v_x,v_y,v_z,1]^T=[kv_x,kv_y,kv_z,k]^T=[v_x,v_y,v_z,1]^T
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$$
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\begin{aligned}
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(k\boldsymbol{M})[u_x, u_y, u_z, 1]^T&=k[v_x,v_y,v_z,1]^T\\
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&=[kv_x,kv_y,kv_z,k]^T\\
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&=[v_x,v_y,v_z,1]^T
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\end{aligned}$$
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可知$k\boldsymbol{M}$在针对空间点转换矩阵中等同于$\boldsymbol{M}$,所以为了表达方便,经常将上面得到的这个矩阵乘以-1,得到
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$$
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\boldsymbol{M}_{\text{persp}\rightarrow\text{ccv}}=\begin{bmatrix}
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