常用的图像质量评估指标

本文针对二维数据，如图像等

MSE

• Mean Square Error(均方差)
• equation:
  $$MSE=\frac{1}{mn}\sum _{i=0}^{m-1}\sum _{j=0}^{n-1}(y_{i,j}-{\hat{y}}_{i,j}{)}^2$$

RMSE

• Root Mean Square Error(均方根误差)
• equation:
  $$RMSE=\sqrt{\frac{1}{mn}\sum _{i=0}^{m-1}\sum _{j=0}^{n-1}(y_{i,j}-{\hat{y}}_{i,j}{)}^2}$$

PSNR

• Peak Signal to Noise Ratio(峰值信噪比)
• equation:
  $$\begin{gathered} PSNR=10\times lo{g}_{10}(\frac{MA{X}_I^2}{MSE}) \\ MA{X}_I=2^n-1 \end{gathered}$$

SSIM

• Structural SIMliarity(结构相似性)
• equation: