改进格式

This commit is contained in:
neochaojin
2025-02-24 16:53:23 +08:00
parent 8430b21338
commit e5181f6061
+5 -2
View File
@@ -188,8 +188,11 @@ $$
$$
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
$$
(k\boldsymbol{M})[u_x, u_y, u_z, 1]^T=k[v_x,v_y,v_z,1]^T=[kv_x,kv_y,kv_z,k]^T=[v_x,v_y,v_z,1]^T
$$
\begin{aligned}
(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
\end{aligned}$$
可知$k\boldsymbol{M}$在针对空间点转换矩阵中等同于$\boldsymbol{M}$,所以为了表达方便,经常将上面得到的这个矩阵乘以-1,得到
$$
\boldsymbol{M}_{\text{persp}\rightarrow\text{ccv}}=\begin{bmatrix}