Table 5 The definitions and explanations of the three evaluation metrics.
From: Gaussian bare‑bone JAYA algorithm for multi-threshold medical image segmentation
Indicators | Formulation | Remark |
|---|---|---|
Peak Signal to Noise Ratio (PSNR) | \(\:PSNR=20\bullet\:{{log}}_{10}\left(\frac{255}{RMSE}\right)\) | Evaluate the disparity between the segmented image and the original image. |
Structural Similarity Index (SSIM) | \(\:SSIM=\frac{\left(2{\mu\:}_{I}{\mu\:}_{Seg}+{c}_{1}\right)\left(2{\sigma\:}_{I,Seg}+{c}_{2}\right)}{\left({{\mu\:}_{I}}^{2}+{{\mu\:}_{Seg}}^{2}+{c}_{1}\right)\left({{\sigma\:}_{I}}^{2}+{{\sigma\:}_{Seg}}^{2}+{c}_{2}\right)}\) | Measure the resemblance between the segmented image and an uncompressed or minimally distorted image. |
Feature Similarity Index (FSIM) | \(\:FSIM=\frac{{\sum\:}_{I\in\:\varOmega\:}{S}_{L}\left(X\right){PC}_{m}\left(X\right)}{{\sum\:}_{I\in\:\varOmega\:}{PC}_{m}\left(X\right)}\) | Quantify the quality score that indicates the importance of a local structure. |
