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18    Cha pte r  O n e


        1.2.5  Application for Cancer Pixel Segmentation
        Upon successful differentiation of stroma and epithelium, the next
        problem of automated segmentation of cancerous and normal epithe-
        lium is addressed. All spectral image regions classified as stroma are
        removed prior to commencing with cancer identification. Epithelial
        pixels are then divided into cancer and normal classes based on iden-
        tification of malignant tissue cores by a trained pathologist. These
        manually selected epithelial pixels are used as a gold standard to
        determine the frequency distribution of each spectral metric for can-
        cerous and adjacent normal epithelium and to assess cancer identifi-
        cation during statistical analysis. A malignant and benign epithelium
        classifier is then calibrated using the procedure described in Fig. 1.2.
        The pixel-based ROC analysis for calibration spectral image data
        (Fig. 1.7a) reveals a maximum AUC of 0.79 with a nine-metric classi-
        fier. This predicted accuracy for cancer and normal segmentation is
        comparable with other pixel-based classification algorithms. 51
            However, this classification accuracy is significantly lower in val-
        idation spectral image data, as displayed in Fig. 1.7b. This is likely
        due to several factors involved in determining segmentation accu-
        racy. First, the spectral images were acquired with only two scans per
        pixel to permit rapid data collection, resulting in a lower signal-to-
        noise ratio (SNR). In addition, malignant tissues have vastly different
        pathologic characteristics depending upon the organization of the
        tumor, the type of tumor, and the grade of the tumor. This variation
        in observed pathology would impact the biochemical features pres-
        ent in the spectra. Therefore, attempting to group all malignant spec-
        tra as one class may create difficulties in developing a reproducible
        segmentation algorithm to separate all malignant tissue as a single
        class. The metric probability distributions may not be uniform for dif-
        ferent tumors and different patients, which would decrease predicted
        accuracy confidence in the validation AUC curve. To further assess
        classification potential, a core-based ROC analysis is performed to
        analyze the sensitivity and specificity of the classification (Fig. 1.7c).
        This resulting curve illustrates the trade-off between these two factors
        in determining appropriate classification parameters. The threshold
        for separating cancer and normal tissue could be altered based upon
        a cost model for false positive and false negative results. The signifi-
        cant decrease in AUC for cancer segmentation for validation data
        (Fig. 1.7b) indicates that further studies to improve cancer detection
        are required.
            However, a comparison of calibration data H&E and classified
        images indicates that using a threshold that assumes an equal cost for
        false positives and false negative segmentation produces reasonable
        cancer detection. As shown in Fig. 1.7d and e, many malignant tissue
        cores contain a significant number of epithelial pixels classified as
        cancerous while the normal tissue cores do not contain a significant
        number of pixels classified as malignant. These images indicate that
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