IoU: Intersection over Union
\[IoU=\frac{Intersection}{Union}\]
Intersection: 領域の共通部分
Union: 領域の和集合
2つの領域の重なりについて評価する指標
計算式
\[
IoU = \frac{Intersection}{Union}
\]
矩形\(\alpha, \beta\)について考える
\[
\begin{aligned}
S_\alpha&=(r_\alpha-l_\alpha)(b_\alpha-t_\alpha) \\
S_\beta&=(r_\beta-l_\beta)(b_\beta-t_\beta) \\
\\
w_i &= (min(r_\alpha, r_\beta)-max(l_\alpha, l_\beta)) \\
h_i &= (min(b_\alpha, b_\beta)-max(t_\alpha, t_\beta)) \\
S_i &= w_ih_i
\end{aligned}
\]
\[
\begin{aligned}
Intersection&=S_i \\
Union&=S_\alpha+S_\beta-S_i
\end{aligned}
\]
Reference
最終更新日:
August 14, 2023
作成日: August 14, 2023
作成日: August 14, 2023