Table 2 Classification performance on BreakHis dataset
From: Texture features in the Shearlet domain for histopathological image classification
Method | Perf | RP + Magnitude | RP | Magnitude | |||
|---|---|---|---|---|---|---|---|
SVM | DTB | SVM | DTB | SVM | DTB | ||
(1): Baseline performance of existing Shearlet-based methods | |||||||
Vo et al. | ACC% | \(\underline{85} .\underline{69} \% \pm \underline{1} .\underline{18} \%\) | \(80.65 \% \pm 1.05\%\) | \(83.63\% \pm 0.99\%\) | \(78.95\% \pm 0.74\%\) | \(76.10\% \pm 0.66\%\) | \(76.52\% \pm 0.64\%\) |
AUC | \(\underline{0} .\underline{9121} \pm \underline{0} .\underline{0053}\) | \(0.8687 \pm 0.0079\) | \(0.8915 \pm 0.0103\) | \(0.8443 \pm 0.0183\) | \(0.7717 \pm 0.0123\) | \(0.7926 \pm 0.0175\) | |
Sen | \(\underline{0} .\underline{7210} \pm \underline{0} .\underline{0276}\) | \(0.4855 \pm 0.0346\) | \(0.6766 \pm 0.0231\) | \(0.4496 \pm 0.0157\) | \(0.4698 \pm 0.0213\) | \(0.4056 \pm 0.0301\) | |
Prec | \(\underline{0} .\underline{8035} \pm \underline{0} .\underline{0301}\) | \(0.8268 \pm 0.0296\) | \(0.7732 \pm 0.0201\) | \(0.7881 \pm 0.0208\) | \(0.6701 \pm 0.0192\) | \(0.7247 \pm 0.0159\) | |
Meshkini and Ghassemian | ACC% | \(\textit{78.06}\% \pm \textit{0.80}\%\) | \(\textit{79.43} \% \pm \textit{1.09}\%\) | \(\textit{77.33}\% \pm \textit{1.23}\%\) | \(\textit{79.76}\% \pm \textit{0.71}\%\) | \(76.44\% \pm 0.96\%\) | \(77.46\% \pm 0.85\%\) |
AUC | \(\textit{0.8339} \pm \textit{0.0030}\) | \(\textit{0.8523} \pm \textit{0.0055}\) | \(\textit{0.8111} \pm \textit{0.0086}\) | \(\textit{0.8579} \pm \textit{0.0078}\) | \(0.7991 \pm 0.0139\) | \(0.8357 \pm 0.0112\) | |
Sen | \(\textit{0.5177} \pm \textit{0.0194}\) | \(\textit{0.4927} \pm \textit{0.0213}\) | \(\textit{0.4899} \pm \textit{0.0291}\) | \(\textit{0.4980} \pm \textit{0.0237}\) | \(0.4722 \pm 0.0232\) | \(0.4218 \pm 0.0246\) | |
Prec | \(\textit{0.7049} \pm \textit{0.0223}\) | \(\textit{0.7688} \pm \textit{0.0313}\) | \(\textit{0.6973} \pm \textit{0.0284}\) | \(\textit{0.7779} \pm \textit{0.0300}\) | \(0.6788 \pm 0.0215\) | \(0.7496 \pm 0.0181\) | |
Zhou et al. | ACC% | \(\textit{68.66}\% \pm \textit{1.23}\%\) | \(\textit{70.21} \% \pm \textit{0.36}\%\) | \(\textit{65.20}\% \pm \textit{1.47}\%\) | \(\textit{69.64}\% \pm \textit{0.47}\%\) | \(66.47\% \pm 0.88\%\) | \(70.58\% \pm 0.49\%\) |
AUC | \(\textit{0.6426} \pm \textit{0.0245}\) | \(\textit{0.6781} \pm \textit{0.0173}\) | \(\textit{0.5832} \pm \textit{0.0193}\) | \(\textit{0.6154} \pm \textit{0.0116}\) | \(0.6022 \pm 0.0198\) | \(0.6709 \pm 0.0165\) | |
Sen | \(\textit{0.2875} \pm \textit{0.0310}\) | \(\textit{0.0677} \pm \textit{0.0139}\) | \(\textit{0.2290} \pm \textit{0.0273}\) | \(\textit{0.0456} \pm \textit{0.0096}\) | \(0.2415 \pm 0.0326\) | \(0.0956 \pm 0.0123\) | |
Prec | \(\textit{0.4996} \pm \textit{0.0357}\) | \(\textit{0.7915} \pm \textit{0.0314}\) | \(\textit{0.4035} \pm \textit{0.0391}\) | \(\textit{0.7728} \pm \textit{0.1106}\) | \(0.4361 \pm 0.0291\) | \(0.7436 \pm 0.0687\) | |
Dong et al. | ACC% | \(\textit{79.49}\% \pm \textit{1.39}\%\) | \(\textit{78.40} \% \pm \textit{0.54}\%\) | \(\textit{73.54}\% \pm \textit{1.61}\%\) | \(\textit{75.58}\% \pm \textit{0.78}\%\) | \(78.40\ \pm 1.20\%\) | \(77.56\% \pm 0.97\%\) |
AUC | \(\textit{0.8390} \pm \textit{0.0163}\) | \(\textit{0.8359} \pm \textit{0.0110}\) | \(\textit{0.7641} \pm \textit{0.0172}\) | \(\textit{0.8018} \pm \textit{0.0069}\) | \(0.8090 \pm 0.0114\) | \(0.8082 \pm 0.0156\) | |
Sen | \(\textit{0.5980} \pm \textit{0.0342}\) | \(\textit{0.4360} \pm \textit{0.0139}\) | \(\textit{0.4860} \pm \textit{0.0312}\) | \(\textit{0.3328} \pm \textit{0.0327}\) | \(0.5176 \pm 0.0270\) | \(0.4380 \pm 0.0129\) | |
Prec | \(\textit{0.7077} \pm \textit{0.0226}\) | \(\textit{0.7855} \pm \textit{0.0169}\) | \(\textit{0.6011} \pm \textit{0.0324}\) | \(\textit{0.7600} \pm \textit{0.0155}\) | \(0.7204 \pm 0.0243\) | \(0.7480 \pm 0.0307\) | |
(2): Proposed Shearlet-based methods for textured bio-medical image classification | |||||||
CM | ACC% | \(87.26\% \pm 1.18\%\) | \(79.33 \% \pm 1.17\%\) | \(86.93\% \pm 0.75\%\) | \(79.95\% \pm 0.39\%\) | \(78.85\% \pm 1.42\%\) | \(75.08\% \pm 0.80\%\) |
AUC | \(0.9365 \pm 0.0104\) | \(0.8679 \pm 0.0134\) | \(0.9283 \pm 0.0052\) | \(0.8687 \pm 0.0085\) | \(0.8350 \pm 0.0143\) | \(0.7823 \pm 0.0148\) | |
Sen | \(0.7391 \pm 0.0286\) | \(0.4137 \pm 0.0351\) | \(0.7520 \pm 0.0242\) | \(0.4677 \pm 0.0188\) | \(0.5649 \pm 0.0371\) | \(0.2911 \pm 0.0208\) | |
Prec | \(0.8358 \pm 0.0230\) | \(0.8500 \pm 0.0270\) | \(0.8166 \pm 0.0108\) | \(0.8140 \pm 0.0164\) | \(0.7021 \pm 0.0253\) | \(0.7717 \pm 0.0274\) | |
LBP | ACC% | \(89.51\% \pm 0.69\%\) | \(81.63 \% \pm 0.96\%\) | \(87.15\% \pm 0.51\%\) | \(79.58\% \pm 1.05\%\) | \(86.07\% \pm 1.04\%\) | \(80.01\% \pm 1.11\%\) |
AUC | \(0.9477 \pm 0.0043\) | \(0.8905 \pm 0.0101\) | \(0.9296 \pm 0.0054\) | \(0.8665 \pm 0.0131\) | \(0.9153 \pm 0.0080\) | \(0.8630 \pm 0.0075\) | |
Sen | \(0.7964 \pm 0.0233\) | \(0.5081 \pm 0.0180\) | \(0.7508 \pm 0.0173\) | \(0.4484 \pm 0.0305\) | \(0.7177 \pm 0.0355\) | \(0.4641 \pm 0.0296\) | |
Prec | \(0.8590 \pm 0.0149\) | \(0.8444 \pm 0.0299\) | \(0.8241 \pm 0.0126\) | \(0.8182 \pm 0.0212\) | \(0.8158 \pm 0.0132\) | \(0.8200 \pm 0.0219\) | |
LOSIB | ACC% | \(87.81\% \pm 0.63\%\) | \(80.63\% \pm 1.03\%\) | \(85.78 \% \pm 0.52\%\) | \(78.94\% \pm 1.47\%\) | \(80.31\% \pm 1.09\%\) | \(78.49\% \pm 0.90\%\) |
AUC | \(0.9295 \pm 0.0056\) | \(0.8771 \pm 0.0073\) | \(0.9092 \pm 0.0042\) | \(0.8516 \pm 0.0174\) | \(0.8486 \pm 0.0085\) | \(0.8206 \pm 0.0119\) | |
Sen | \(0.7585 \pm 0.0252\) | \(0.4972 \pm 0.0225\) | \(0.7234 \pm 0.0177\) | \(0.4315 \pm 0.0284\) | \(0.5665 \pm 0.0274\) | \(0.4617 \pm 0.0170\) | |
Prec | \(0.8380 \pm 0.0163\) | \(0.8121 \pm 0.0220\) | \(0.8036 \pm 0.0116\) | \(0.8071 \pm 0.0436\) | \(0.7447 \pm 0.0220\) | \(0.7580 \pm 0.0247\) | |
SFTA | ACC% | \(\underline{89} .\underline{72} \% \pm \underline{0} .\underline{63} \%\) | \(81.83\% \pm 0.79\%\) | \(87.95\% \pm 0.57\%\) | \(79.90\% \pm 1.20\%\) | \(83.53\% \pm 1.04\%\) | \(80.39\% \pm 1.14\%\) |
AUC | \(\underline{0} .\underline{9527} \pm \underline{0} .\underline{0055}\) | \(0.8880 \pm 0.0071\) | \(0.9393 \pm 0.0065\) | \(0.8769 \pm 0.0070\) | \(0.8943 \pm 0.0090\) | \(0.8424 \pm 0.0158\) | |
Sen | \(\underline{0} .\underline{8040} \pm \underline{0} .\underline{0243}\) | \(0.4992 \pm 0.0265\) | \(0.7701 \pm 0.0239\) | \(0.4601 \pm 0.0251\) | \(0.6645 \pm 0.0332\) | \(0.4665 \pm 0.0220\) | |
Prec | \(\underline{0} .\underline{8593} \pm \underline{0} .\underline{0112}\) | \(0.8641 \pm 0.0137\) | \(0.8332 \pm 0.0112\) | \(0.8197 \pm 0.0324\) | \(0.7787 \pm 0.0264\) | \(0.8355 \pm 0.0323\) | |
(3): Integrating Shearlet-based existing techniques with our proposed methods | |||||||
Fusion #1 | ACC% | \(\underline{91} .\underline{28} \% \pm \underline{0} .\underline{51} \%\) | \(81.78\% \pm 0.73\%\) | \(89.58\% \pm 0.83\%\) | \(80.98\% \pm 0.71\%\) | \(87.29\% \pm 0.37\%\) | \(80.30\% \pm 0.62\%\) |
AUC | \(\underline{0} .\underline{9650} \pm \underline{0} .\underline{0031}\) | \(0.8981 \pm 0.0053\) | \(0.9515 \pm 0.0031\) | \(0.8853 \pm 0.0102\) | \(0.9346 \pm 0.0051\) | \(0.8719 \pm 0.0084\) | |
Sen | \(\underline{0} .\underline{8391} \pm \underline{0} .\underline{0147}\) | \(0.5085 \pm 0.0087\) | \(0.8121 \pm 0.0119\) | \(0.4855 \pm 0.0252\) | \(0.7561 \pm 0.0214\) | \(0.4504 \pm 0.0163\) | |
Prec | \(\underline{0} .\underline{8775} \pm \underline{0} .\underline{0120}\) | \(0.8508 \pm 0.0259\) | \(0.8495 \pm 0.0219\) | \(0.8412 \pm 0.0185\) | \(0.8244 \pm 0.0094\) | \(0.8516 \pm 0.0198\) | |
Fusion #2 | ACC% | \(89.33\% \pm 0.61\%\) | \(80.33\% \pm 0.89\%\) | \(87.82\% \pm 0.36\%\) | \(80.24\% \pm 0.84\%\) | \(83.23\% \pm 0.93\%\) | \(77.80\% \pm 0.51\%\) |
AUC | \(0.9503 \pm 0.0053\) | \(0.8763 \pm 0.0138\) | \(0.9354 \pm 0.0037\) | \(0.8742 \pm 0.0072\) | \(0.8872 \pm 0.0098\) | \(0.8446 \pm 0.0071\) | |
Sen | \(0.7964 \pm 0.0245\) | \(0.4544 \pm 0.0202\) | \(0.7690 \pm 0.0132\) | \(0.4726 \pm 0.0171\) | \(0.6536 \pm 0.0155\) | \(0.3694 \pm 0.0173\) | |
Prec | \(0.8537 \pm 0.0105\) | \(0.8471 \pm 0.0213\) | \(0.8304 \pm 0.0098\) | \(0.8216 \pm 0.0252\) | \(0.7770 \pm 0.0256\) | \(0.8270 \pm 0.0170\) | |
Fusion #3 | ACC% | \(90.10\% \pm 0.87\%\) | \(85.08\% \pm 0.80\%\) | - | - | - | - |
AUC | \(0.9560 \pm 0.0053\) | \(0.9256 \pm 0.0065\) | - | - | - | - | |
Sen | \(0.8028 \pm 0.0113\) | \(0.5992 \pm 0.0175\) | - | - | - | - | |
Prec | \(0.8723 \pm 0.0281\) | \(0.8887 \pm 0.0161\) | - | - | - | - | |