(Rezatofighi et al., 2009) (Madhloom et al., 2010)
(Mohamed and Far, 2012a) (Mohamed and Far,
2012b) (Mohamed et al., 2012) (Tosta et al., 2015)
(Tareef et al., 2016) (Tareef et al., 2017). Below, we
highlight some works that were used as a comparison
with our approach.
The work of (Tosta et al., 2015) proposed an un-
supervised approach to the segmentation of nuclear
structures in leukocytes. The authors’ method con-
sists of four steps. Firstly, the deconvolution process
is applied to the image to separate two components
of Giemsa stained images, methylene blue and eosin,
based on optical density, which is proportional to the
concentration of each component in specific cellular
structures. Later, in the second stage, a median fil-
ter is applied to remove noise and standardize nuclear
regions. In the third stage, the Neighborhood Valley-
emphasis method automatically determines a thresh-
old value that separates regions of interest and back-
ground. In the last step, post-processing is performed
with the morphological opening and closing operators
to eliminate small holes. The work was evaluated us-
ing the Jaccard coefficient and Precision. The authors
obtained a result of 89.89% in the Jaccard coefficient
and 99.57% in Precision. In conclusion, the authors
point out that the main limitation of this work is the
low result in dealing with the edges of the structures.
In the work of (Tareef et al., 2016), a three-stage
approach to leukocyte segmentation is proposed. The
first step is the segmentation of the nuclei, this seg-
mentation consists of the transformation of the RGB
color space to the CIE LAB, having both the RGB
image and the CIE LAB, a grayscale image is gen-
erated by adding the red channel with the luminance
and subtracting the color component A from the CIE
LAB. With the grayscale image, the Poisson distri-
bution based minimum error thresholding algorithm
is applied to the obtained gray-scale image to get the
nuclei candidates. In the second step, which consists
of cytoplasm segmentation, the authors use discrete
wavelet transform (DWT) and morphological filtering
to eliminate small details and noise and to increase the
contrast between the cytoplasm and the other struc-
tures. At the end of this stage, cytoplasm candidates
are selected using the Otsu method. In the last step,
the authors perform a refinement and filtering to ob-
tain the final segmentation. First, the regularized level
set is applied to refine the cytoplasm candidate con-
tour. Subsequently, an opening is applied followed by
an expansion to remove the excess of edges. In the
end, a filtering process is carried out to remove false
candidates for nuclei and cytoplasm, which consists
of removing nuclei that are not surrounded by cyto-
plasm. The authors’ work was evaluated using the
similarity metric, obtaining a result of 85.10% for the
BloodSeg dataset.
In the paper (Tareef et al., 2017), the authors pro-
posed a framework based on four stages for the seg-
mentation of leukocytes: clustering-based color en-
hancement and reduction, nuclei segmentation, cyto-
plasm segmentation, and post-processing. In the first
stage, the authors created a technique that reduces
the range of colors while preserving the contours of
the cells. In this step, a median filter, followed by
a contrast adjustment, is applied to the original im-
age. Subsequently, they apply a clustering algorithm
to the image to divide it into coherent regions. For
each cluster found, they compute the median value for
each color channel. Then, the authors use the Gram-
Schmidt orthogonalization method to compute a vec-
tor of weights that is later used to highlight the re-
gion to be segmented. In the third stage, the method
applies the watershed transform to segments the cy-
toplasm. In the end, the authors apply several mor-
phological operations and filters to refine the results.
The authors evaluated their results using the similarity
metric, which obtained an average result of 88.2.
3 MATERIAL AND METHODS
3.1 Color Deconvolution
The main goal of color deconvolution is to separate
immunohistochemical dye channels such as hema-
toxylin (H) and eosin (E). In this paper we used the
method based on the orthonormal transformation of
the RGB image in order to separate the dyes in differ-
ent channels (Ruifrok et al., 2001; Wang et al., 2017).
When a monochromatic radiation passes through an
absorbing dye, that dye absorbs a fraction of the light
according to the Bouguer-Lambert-Beer equation:
I = I
0
.e
−δ.c
(1)
where I is the intensity of the monochromatic radia-
tion, I
0
is the intensity of the transmitted radiation, δ
is the spectral molar optical density for a unified layer
thickness and c is the dye concentration.
The optical density (OD) of a channel i is defined
as
OD
i
= −log
10
I
i
I
0
, (2)
and it has a linear relation with the concentration of
absorbing material so that it is useful to estimate the
contribution of each stain in a sample. The contri-
bution of each stain is given by a matrix where each
row represents a specific stain. After the orthonormal
transformation and normalization, the contribution of
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