• The Global Organization/Arrangements of cells within the epithelium can be quantified and modeled using different geometrical tools.
• We developed a method which automatically extracts the centers of gravity of the nuclei located within a region of interest (Manual Delineation of Basal membrane and External membrane).

Figure 2: Euclidean Minimum Spanning Tree for Normal Epithelium and Moderate Dysplasia [View Image]

• We used the Euclidean Minimum Spanning Tree (Figure 2) - the minimum length tree that spans all the points is used to describe the arrangements of nuclei in the epithelium.
• Statistical moments are computed from the distribution of the Length Vertices of the MST (Mean, Standard Deviation, Skewness, Kurtosis,...)
• A Linear combination of these features is used to define a New Architectural Index

Figure 3: Architectural Index: From Subjective Grading to Quantitative Objective Scoring [View Image]

The Architectural Index shown in Figure 3 may be used by the pathologist for the diagnosis of pre-neoplastic lesions.