YOLO v5 Series - Image Comparison ( GraphicsMagick )

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----- --------------------------- --------------
IS    Image Similarity            图像相似度
ID    Image Dissimilarity         图像差异度
----- --------------------------- --------------
CM    Comparison Metric           比较度量
----- --------------------------- --------------
MAE   Mean Absolute Error         平均绝对误差 
----- --------------------------- --------------
MSE   Mean Square Error           均方误差
RMSE  Root Mean Square Error      均方根误差 
----- --------------------------- --------------
PAE   Peak Absolute Error         峰值绝对误差
PSNR  Peak Signal To Noise Ratio  峰值信噪比
----- --------------------------- --------------

GraphicsMagick

pacman -S mingw-w64-x86_64-graphicsmagick
/opt/admin/mqtt>gm --version
GraphicsMagick 1.3.45 2024-08-27 Q16 http://www.GraphicsMagick.org/
Copyright (C) 2002-2024 GraphicsMagick Group.
Additional copyrights and licenses apply to this software.
See http://www.GraphicsMagick.org/www/Copyright.html for details.

MAE

/opt/admin/mqtt>time gm compare -metric mae $alpha $beta
Image Difference (MeanAbsoluteError):
           Normalized    Absolute
          ============  ==========
     Red: 0.0763647722     5004.6
   Green: 0.0546477627     3581.3
    Blue: 0.0630786174     4133.9
   Total: 0.0646970508     4239.9

real    0m0.684s
user    0m0.015s
sys     0m0.031s

MSE ( Image Dissimilarity )

LaTeX : MSE=\frac{1}{MN} \sum_{i=0}^{M-1} \sum_{j=0}^{N-1} \left [ I\left ( i, j \right ) - K\left ( i, j \right ) \right ] ^{2} 

图像K(i, j),图像I(i, j);
M为图像I的像素总数,N为图像K的像素总数;MSE值越小,图像越相似;

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/opt/admin/mqtt>time gm compare -metric mse $alpha $beta
Image Difference (MeanSquaredError):
           Normalized    Absolute
          ============  ==========
     Red: 0.0175590432     1150.7
   Green: 0.0076293218      500.0
    Blue: 0.0141868596      929.7
   Total: 0.0131250749      860.2

real    0m0.644s
user    0m0.015s
sys     0m0.031s

PSNR ( Image Similarity )

LaTeX : PSNR=10\ast \lg_{}{ \frac{ \left ( 2 ^{n}  - 1 \right ) ^{2} }{MSE}} 

PSNR越大,图像失真越少,图像质量越好,图像越相似;

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/opt/admin/mqtt>time gm compare -metric psnr $alpha $beta null
Image Difference (PeakSignalToNoiseRatio):
           PSNR
          ======
     Red: 17.55
   Green: 21.18
    Blue: 18.48
   Total: 18.82

real    0m0.552s
user    0m0.000s
sys     0m0.015s
https://sourceforge.net/projects/graphicsmagick/files/graphicsmagick-binaries/1.3.45/
https://jaist.dl.sourceforge.net/project/graphicsmagick/graphicsmagick-binaries/1.3.45/GraphicsMagick-1.3.45-Q16-win64-dll.exe?viasf=1

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