Table 1 Classification performance on Kather 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% | \(\underline{82} .\underline{34} \% \pm \underline{1} .\underline{87} \%\) | \(79.42\% \pm 1.27\%\) | \(78.46\% \pm 2.11\%\) | \(75. 22\% \pm 2.17\%\) | \(71.10\% \pm 1.65\%\) | \(68.28\% \pm 1.09\%\) |
AUC | \(\underline{0} .\underline{9658} \pm \underline{0} .\underline{0038}\) | \(0.9646 \pm 0.0038\) | \(0.9545 \pm 0.0049\) | \(0.9552 \pm 0.0066\) | \(0.9283 \pm 0.0092\) | \(0.9340 \pm 0.0036\) | |
Sen | \(\underline{0} .\underline{8234} \pm \underline{0} .\underline{0186}\) | \(0.7943 \pm 0.0127\) | \(0.7846 \pm 0.0212\) | \(0.7522 \pm 0.0218\) | \(0.7111 \pm 0.0161\) | \(0.6828 \pm 0.0107\) | |
Prec | \(\underline{0} .\underline{8263} \pm \underline{0} .\underline{0191}\) | \(0.7961 \pm 0.0131\) | \(0.7858 \pm 0.0218\) | \(0.7568 \pm 0.0213\) | \(0.7102 \pm 0.0180\) | \(0.6826 \pm 0.0131\) | |
Meshkini and Ghassemian | ACC% | \(\textit{80.06}\% \pm \textit{1.54}\%\) | \(\textit{83.06}\% \pm \textit{1.33}\%\) | \(\textit{37.72}\% \pm \textit{1.78}\%\) | \(\textit{77.84}\% \pm \textit{1.17}\%\) | \(83.38\% \pm 1.81\%\) | \(83.74\% \pm 1.79\%\) |
AUC | \(\textit{0.9648} \pm \textit{0.0055}\) | \(\textit{0.9800} \pm \textit{0.0081}\) | \(\textit{0.7553} \pm \textit{0.0115}\) | \(\textit{0.9649} \pm \textit{0.0028}\) | \(0.9738 \pm 0.0036\) | \(0.9816 \pm 0.0027\) | |
Sen | \(\textit{0.8006} \pm \textit{0.0154}\) | \(\textit{0.8307} \pm \textit{0.0134}\) | \(\textit{0.3772} \pm \textit{0.0179}\) | \(\textit{0.7784} \pm \textit{0.0117}\) | \(0.8338 \pm 0.0181\) | \(0.8374 \pm 0.0179\) | |
Prec | \(\textit{0.8111} \pm \textit{0.0128}\) | \(\textit{0.8325} \pm \textit{0.0124}\) | \(\textit{0.4338} \pm \textit{0.0193}\) | \(\textit{0.7792} \pm \textit{0.0105}\) | \(0.8385 \pm 0.0170\) | \(0.8400 \pm 0.0168\) | |
Zhou et al. | ACC% | \(\textit{64.26}\% \pm \textit{2.20}\%\) | \(\textit{67.78}\% \pm \textit{1.38}\%\) | \(\textit{51.34}\% \pm \textit{2.35}\%\) | \(\textit{54.68}\% \pm \textit{1.79}\%\) | \(60.06\% \pm 1.43\%\) | \(64.42\% \pm 1.82\%\) |
AUC | \(\textit{0.9016} \pm \textit{0.0074}\) | \(\textit{0.9337} \pm \textit{0.0051}\) | \(\textit{0.8519} \pm \textit{0.0104}\) | \(\textit{0.8846} \pm \textit{0.0045}\) | \(0.8764 \pm 0.0050\) | \(0.9132 \pm 0.0061\) | |
Sen | \(\textit{0.6425} \pm \textit{0.0222}\) | \(\textit{0.6778} \pm \textit{0.0138}\) | \(\textit{0.5134} \pm \textit{0.0233}\) | \(\textit{0.5468} \pm \textit{0.0177}\) | \(0.6006 \pm 0.0143\) | \(0.6442 \pm 0.0183\) | |
Prec | \(\textit{0.6494} \pm \textit{0.0240}\) | \(\textit{0.6842} \pm \textit{0.0208}\) | \(\textit{0.5112} \pm \textit{0.0235}\) | \(\textit{0.5540} \pm \textit{0.0210}\) | \(0.6182 \pm 0.0198\) | \(0.6511 \pm 0.0197\) | |
Dong et al. | ACC% | \(\textit{81.10}\% \pm \textit{1.90}\%\) | \(\textit{77.50}\% \pm \textit{1.17}\%\) | \(\textit{70.66}\% \pm \textit{1.81}\%\) | \(\textit{72.10}\% \pm \textit{0.97}\%\) | \(76.62\% \pm 1.86\%\) | \(72.08\% \pm 1.65\%\) |
AUC | \(\textit{0.9621} \pm \textit{0.0046}\) | \(\textit{0.9620} \pm \textit{0.0033}\) | \(\textit{0.9297} \pm \textit{0.0082}\) | \(\textit{0.9457} \pm \textit{0.0037}\) | \(0.9504 \pm 0.0063\) | \(0.9448 \pm 0.0046\) | |
Sen | \(\textit{0.8110} \pm \textit{0.0188}\) | \(\textit{0.7751} \pm \textit{0.0116}\) | \(\textit{0.7066} \pm \textit{0.0179}\) | \(\textit{0.7210} \pm \textit{0.0100}\) | \(0.7662 \pm 0.0185\) | \(0.7207 \pm 0.0166\) | |
Prec | \(\textit{0.8146} \pm \textit{0.0187}\) | \(\textit{0.7753} \pm \textit{0.0140}\) | \(\textit{0.7114} \pm \textit{0.0187}\) | \(\textit{0.7263} \pm \textit{0.0106}\) | \(0.7681 \pm 0.0190\) | \(0.7210 \pm 0.0172\) | |
(2): Proposed Shearlet-based methods for textured bio-medical image classification | |||||||
CM | ACC% | \(86.24\% \pm 1.27\%\) | \(80.98\% \pm 1.54\%\) | \(82.82\% \pm 1.47\%\) | \(78.48\% \pm 1.30\%\) | \(80.28\% \pm 1.64\%\) | \(76.30\% \pm 1.16\%\) |
AUC | \(0.9761 \pm 0.0027\) | \(0.9712 \pm 0.0031\) | \(0.9697 \pm 0.0035\) | \(0.9636 \pm 0.0046\) | \(0.9603 \pm 0.0039\) | \(0.9568 \pm 0.0051\) | |
Sen | \(0.8624 \pm 0.0128\) | \(0.8098 \pm 0.0155\) | \(0.8282 \pm 0.0148\) | \(0.7849 \pm 0.01274\) | \(0.8028 \pm 0.0166\) | \(0.7630 \pm 0.0114\) | |
Prec | \(0.8649 \pm 0.0130\) | \(0.8127 \pm 0.0141\) | \(0.8322 \pm 0.0147\) | \(0.7884 \pm 0.0115\) | \(0.8037 \pm 0.0157\) | \(0.7642 \pm 0.0127\) | |
LBP | ACC% | \(84.24\% \pm 0.91\%\) | \(77.90\% \pm 1.75\%\) | \(81.36\% \pm 1.16\%\) | \(75.10\% \pm 2.20\%\) | \(79.36\% \pm 1.39\%\) | \(75.38\% \pm 1.71\%\) |
AUC | \(0.9724 \pm 0.0026\) | \(0.9630 \pm 0.0043\) | \(0.9649 \pm 0.0039\) | \(0.9559 \pm 0.0053\) | \(0.9590 \pm 0.0037\) | \(0.9541 \pm 0.0064\) | |
Sen | \(0.8424 \pm 0.0092\) | \(0.7791 \pm 0.0174\) | \(0.8136 \pm 0.0115\) | \(0.7511 \pm 0.0216\) | \(0.7936 \pm 0.0140\) | \(0.7537 \pm 0.0172\) | |
Prec | \(0.8454 \pm 0.0106\) | \(0.7829 \pm 0.0185\) | \(0.8171 \pm 0.0129\) | \(0.7551 \pm 0.0231\) | \(0.7964 \pm 0.0131\) | \(0.7573 \pm 0.0164\) | |
LOSIB | ACC% | \(\underline{86} .\underline{32} \% \pm \underline{1} .\underline{36} \%\) | \(79.78\% \pm 2.11\%\) | \(82.36\% \pm 1.82\%\) | \(79.76\% \pm 1.35\%\) | \(76.52\% \pm 1.69\%\) | \(71.24\% \pm 1.01\%\) |
AUC | \(\underline{0} .\underline{9773} \pm \underline{0} .\underline{0021}\) | \(0.9703 \pm 0.0046\) | \(0.9671 \pm 0.0045\) | \(0.9689 \pm 0.0024\) | \(0.9495 \pm 0.0048\) | \(0.9402 \pm 0.0037\) | |
Sen | \(\underline{0} .\underline{8632} \pm \underline{0} .\underline{0134}\) | \(0.7978 \pm 0.0209\) | \(0.8236 \pm 0.0180\) | \(0.7976 \pm 0.0136\) | \(0.7653 \pm 0.0169\) | \(0.7124 \pm 0.0098\) | |
Prec | \(\underline{0} .\underline{8664} \pm \underline{0} .\underline{0128}\) | \(0.8017 \pm 0.0216\) | \(0.8274 \pm 0.0169\) | \(0.8008 \pm 0.0127\) | \(0.7672 \pm 0.0191\) | \(0.7128 \pm 0.0123\) | |
SFTA | ACC% | \(82.92\% \pm 1.41\%\) | \(78.24\% \pm 1.21\%\) | \(78.10\% \pm 1.43\%\) | \(75.04\% \pm 1.44\%\) | \(79.72\% \pm 1.07\%\) | \(75.42\% \pm 2.23\%\) |
AUC | \(0.9682 \pm 0.0030\) | \(0.9645 \pm 0.0035\) | \(0.9554 \pm 0.0031\) | \(0.9570 \pm 0.0047\) | \(0.9597 \pm 0.0032\) | \(0.9574 \pm 0.0054\) | |
Sen | \(0.8292 \pm 0.0143\) | \(0.7825 \pm 0.0124\) | \(0.7810 \pm 0.0141\) | \(0.7504 \pm 0.0144\) | \(0.7972 \pm 0.0110\) | \(0.7543 \pm 0.0224\) | |
Prec | \(0.8331 \pm 0.0139\) | \(0.7845 \pm 0.0117\) | \(0.7877 \pm 0.0144\) | \(0.7539 \pm 0.0133\) | \(0.7986 \pm 0.0109\) | \(0.7587 \pm 0.0248\) | |
(3): Integrating Shearlet-based existing techniques with our proposed methods | |||||||
Fusion #1 | ACC% | \(87.54\% \pm 1.85\%\) | \(81.40\% \pm 1.21\%\) | \(85.32\% \pm 1.72\%\) | \(80.30\% \pm 1.52\%\) | \(83.92\% \pm 1.84\%\) | \(77.76\% \pm 1.21\%\) |
AUC | \(0.9823 \pm 0.0042\) | \(0.9734 \pm 0.0019\) | \(0.9774 \pm 0.0043\) | \(0.9707 \pm 0.0024\) | \(0.9740 \pm 0.0049\) | \(0.9619 \pm 0.0031\) | |
Sen | \(0.8755 \pm 0.0186\) | \(0.8141 \pm 0.0122\) | \(0.8533 \pm 0.0173\) | \(0.8029 \pm 0.0155\) | \(0.8392 \pm 0.0185\) | \(0.7776 \pm 0.0121\) | |
Prec | \(0.8764 \pm 0.0189\) | \(0.8154 \pm 0.0135\) | \(0.8539 \pm 0.0179\) | \(0.8078 \pm 0.0153\) | \(0.8397 \pm 0.0178\) | \(0.7798 \pm 0.0127\) | |
Fusion #2 | ACC% | \(88.46\% \pm 1.14\%\) | \(82.28\% \pm 1.46\%\) | \(85.14\% \pm 1.05\%\) | \(80.26\% \pm 2.11\%\) | \(83.54\% \pm 1.30\%\) | \(77.20\% \pm 1.92\%\) |
AUC | \(0.9804 \pm 0.0023\) | \(0.9746 \pm 0.0034\) | \(0.9749 \pm 0.0029\) | \(0.9699 \pm 0.0049\) | \(0.9693 \pm 0.0033\) | \(0.9606 \pm 0.0040\) | |
Sen | \(0.8846 \pm 0.0113\) | \(0.8228 \pm 0.0148\) | \(0.8514 \pm 0.0105\) | \(0.8026 \pm 0.0211\) | \(0.8354 \pm 0.0133\) | \(0.7720 \pm 0.0195\) | |
Prec | \(0.8874 \pm 0.0108\) | \(0.8253 \pm 0.0149\) | \(0.8551 \pm 0.0107\) | \(0.8070 \pm 0.0198\) | \(0.8375 \pm 0.0130\) | \(0.7744 \pm 0.0182\) | |
Fusion #3 | ACC% | \(\underline{92} .\underline{54} \% \pm \underline{1} .\underline{32} \%\) | \(88.60\% \pm 2.03\%\) | - | - | - | - |
AUC | \(\underline{0} .\underline{9906} \pm \underline{0} .\underline{0019}\) | \(0.9900 \pm 0.0020\) | - | - | - | - | |
Sen | \(\underline{0} .\underline{9254} \pm \underline{0} .\underline{0132}\) | \(0.8860 \pm 0.0203\) | - | - | - | - | |
Prec | \(\underline{0} .\underline{9267} \pm \underline{0} .\underline{0129}\) | \(0.8881 \pm 0.0194\) | - | - | - | - | |