To be more specific, the segmentation problem is stated mathematically as follows. Suppose yCy5 = (yCy5 ij |i = 1,2, …, m; j = 1,2, …, n) is an integer-valued matrix representing the Cy5 image, and yCy3 = (yCy3 i j |i = 1,2, …, m; j = 1,2, …, n) denote an integer-valued matrix representing the Cy3 image. Each element of an image is a pixel. Assume that k clusters c = (ci|i = 1,2, …, k) are considered, where each cluster represents one category of pixel intensities. In practice, we assume that there are only two clusters, foreground and background, denoted as c1 and c2, respectively. The segmentation problem aims to assign each pixel of yCy5 or yCy3 to one of the classes, c. For example, considering the two-class problem, the result of the segmentation problem will be a binary image z, where the values of the elements in z are either 0 or 1. The binary value represents where each pixel belongs either background or foreground [4, 5].
|Title of host publication||Microarray Image and Data Analysis|
|Subtitle of host publication||Theory and Practice|
|Number of pages||22|
|State||Published - 1 Jan 2014|