Table 1: List of notations.

SymbolDescription

p The is a pair of numbers that are and coordinates p = (x, y)
AThe matrix representation for preprocessed binary image
H(A)The direction cumulative histogram for A
(A)The thresholded H(A)
A sequence of points that consist of the original lumen boundary
A sequence of points for the convex hull of
A sequence of points for the ideal lumen boundary that is estimated from
A set of nuclei , ,…,
A set of epithelial nuclei
A set of nonepithelial nuclei
Distance(·,·)The Euclidean distance function
Centroid(·)The function returning center point of given object
A(t)The atypia-amplitude function
L(t)The perimeter from   (start point) to (tth point)
A set of atypia regions    ar1, ar2,…,
The region surrounded by
The region surrounded by
The region surrounded by
Area (·)The function returning area of given region
(·)The data set for given feature set (·) = {(x 1(·), ), …, ( (·), )}, x(·) is feature vector for given feature set and is class label for x(·)