From e5181f6061e2183b8e19009d8978bd54f89d5fcd Mon Sep 17 00:00:00 2001 From: neochaojin Date: Mon, 24 Feb 2025 16:53:23 +0800 Subject: [PATCH] =?UTF-8?q?=E6=94=B9=E8=BF=9B=E6=A0=BC=E5=BC=8F?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- docs/note/graphics/math/transform_04.md | 7 +++++-- 1 file changed, 5 insertions(+), 2 deletions(-) diff --git a/docs/note/graphics/math/transform_04.md b/docs/note/graphics/math/transform_04.md index adf4d12..9f68601 100644 --- a/docs/note/graphics/math/transform_04.md +++ b/docs/note/graphics/math/transform_04.md @@ -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}