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Revista Brasileira de Engenharia Biomédica

version ISSN 1517-3151

Rev. Bras. Eng. Bioméd. vol.30 no.4 Rio de Janeiro Oct./Dec. 2014 



Automatic segmentation and classification of blood components in microscopic images using a fuzzy approach



Alessandra Mendes Pacheco Guerra Vale*; Ana Maria Guimarães Guerreiro; Adrião Duarte Dória Neto; Geraldo Barroso Cavalvanti Junior; Victor Cezar Lucena Tavares de Sá Leitão; Allan Medeiros Martins

Federal University of Rio Grande do Norte - UFRN, Avenida Senador Salgado Filho, 3000, Lagoa Nova, CEP 59078-970, Natal, RN, Brasil




INTRODUCTION: Automatic detection of blood components is an important topic in the field of hematology. Segmentation is an important step because it allows components to be grouped into common areas and processed separately. This paper proposes a method for the automatic segmentation and classification of blood components in microscopic images using a general and automatic fuzzy approach.
METHODS: During pre-processing, the supports of the fuzzy sets are automatically calculated based on the histogram peaks in the green channel of the RGB image and the Euclidean distance between the leukocyte nuclei centroids and the remaining pixels. During processing, fuzzification associates the degree of pertinence of the gray level of each pixel in the regions defined in the histogram with the proximity of the leukocyte nucleus centroid closest to the pixel. The fuzzy rules are then applied, and the image is defuzzified, resulting in the classification of four regions: leukocyte nuclei, leukocyte cytoplasm, erythrocytes and blood plasma. In post-processing, false positives are reduced and the leukocytes (including the nucleus and cytoplasm), erythrocytes and blood plasma are segmented.
RESULTS: A total of 530 microscopic images of blood smears were processed, and the results were compared with the results of manual segmentation by experts and the accuracy rates of other approaches.
CONCLUSION: The method demonstrated average accuracy rates of 97.31% for leukocytes, 95.39% for erythrocytes and 95.06% for blood plasma, avoiding the limitations found in the literature and contributing to the practice of the segmentation of blood components.

Keywords: Digital image processing, Fuzzy logic, Image segmentation, Blood analysis.




Hematology is the study of blood, including its organs of origin, functions, diseases and disorders. In hematology, the analysis of various blood components, especially leukocytes and erythrocytes, which are the focus of this work, is based on the microscopic observation of stained blood smears fixed to a glass slide. The components of blood can be differentiated based on their color. When stained, the blood components usually show the following pattern: the blood plasma is the lightest, erythrocytes and leukocyte cytoplasm are intermediate in brightness, and leukocyte nuclei are the darkest. However, because there is color variation in each component, the classification process is inaccurate and subjective.

Manual analysis, conducted by experts using an optical microscope to identify, characterize and count the blood components, is a tedious process that is unreliable, subjective and difficult to reproduce. As described in Guo et al. (2006), automated analysis for the identification of different classes of cells is useful in the diagnosis of diseases such as cancer and anemia. Digital image processing techniques, which improve the quality of blood analysis and can handle inaccurate data well, have achieved good results.

Fuzzy logic is a powerful tool for handling the ambiguous and vague information that is inherent in blood analysis. According to Zadeh (1973), fuzzy logic is a mathematical expression of the formulations of human thought in natural language, without decreasing their expressive power. According to Cox (1994), combining the inaccuracy associated with natural events and the computing power of machines allows the production of robust and flexible intelligent response systems.

In traditional sets, the concept of an element as a member of a set is well defined. In fuzzy sets, an element has a degree of membership in a set. The membership of an element in a specific set is the intensity with which the element is related to the set. As reported by Klir and Folger (1988), an element can be a full member of a fuzzy set, have an intermediate membership value or not be a member. It is this feature of vagueness that allows fuzzy logic to perform well on problems involving imprecise concepts, such as segmentation and classification for detecting and distinguishing different regions of an image.

Many studies can be found in the literature describing the digital processing of images using fuzzy logic in combination with other techniques. Jiji and Ganesan (2010) proposed two approaches based on fuzzy logic for the identification of textures in color images. Tan and Isa (2011) presented a histogram-based thresholding technique that used a fuzzy C-means algorithm to improve the clustering and uniformity of regions. Nawgaje and Kanphade (2011) proposed a fuzzy inference system for the detection of the edges of microscopic images. Wang et al. (2012) proposed an image segmentation method that used a fuzzy C-means algorithm and a support vector machine. Sansone et al. (2012) proposed an algorithm for comet assay analysis consisting of two stages: comet identification via Gaussian pre-filtering and morphological operators and comet segmentation via fuzzy clustering.

Other studies have been conducted on blood component segmentation using digital image processing and fuzzy logic. Ramoser et al. (2005) proposed a leukocyte segmentation method that analyzed the saturation to identify the leukocyte nucleus and used an adaptive thresholding approach for leukocyte cytoplasm segmentation. Hamghalam and Aytollahi (2009) proposed a method for leukocyte nucleus segmentation based on image binarization in which the peak of the histogram of erythrocyte intensity was selected as the threshold. The leukocyte cytoplasm was extracted based on the distance between the center of the leukocyte nucleus and the nearest erythrocytes. Ko et al. (2011) presented a leukocyte segmentation technique that used stepwise merging rules based on mean-shift clustering and boundary removal rules based on a GVF (Gradient Vector Flow) snake. Rezatofighi and Soltanian-Zadeh (2011) proposed a method based on Gram-Schmidt orthogonalization and a snake algorithm for the segmentation of the nucleus and cytoplasm of leukocytes. Ramesh et al. (2012) proposed a method for the segmentation of leukocytes using the S channel of the HSV color model. A fixed threshold was used to identify the leukocyte nucleus, and the leukocyte cytoplasm was identified based on a previously defined fixed distance from the leukocyte nucleus. Fatichah et al. (2012) proposed an interest-based sorting scheme using fuzzy morphology for the segmentation of the leukocyte nucleus from the cytoplasm. Putzu and Ruberto (2013) presented a leukocyte segmentation method using a threshold automatically calculated using the Zack algorithm and watershed segmentation applied to the transformed image distance. Jati et al. (2014) proposed an approach for automatic segmentation that used an intuitive fuzzy divergence-based thresholding technique. Zheng et al. (2014) demonstrated a fast hierarchical framework for leukocyte localization and segmentation in rapidly stained leukocyte images. However, despite the positive results obtained in the cited studies, the studies have many limitations: i) the blood samples use the same staining method; ii) specific blood components are segmented, but others are neglected; iii) pre-set thresholds are used for segmentation; iv) the methods produce relatively high false-positive rates due to the proximity of the leukocyte cytoplasm and erythrocytes; v) false negatives are eliminated based on areas of predefined size; and vi) they use semi-automatic approaches to segmentation.

This paper proposes an automatic scheme for the segmentation and classification of leukocytes (including their nuclei and cytoplasm), erythrocytes and blood plasma in microscopic images. Using only the green (G) channel of the RGB image, the three most significant peaks in the histogram of the G image are identified based on their tonality. However, given that microscopic slide images have four regions of interest (leukocyte nuclei, leukocyte cytoplasm, erythrocytes and blood plasma) and the histogram contains only three well-defined regions, traditional segmentation methods using quantization and separation of regions based on gray levels are not sufficient to correctly segment the leukocyte cytoplasm and erythrocytes. In addition to tonality, the proximity between each pixel and the centroid of the closest leukocyte nucleus is used to refine the classification. To properly express these uncertain concepts and the relationship between them, we propose an approach based on fuzzy inference systems. Combining fuzzy logic with digital image processing techniques enables better refinement of the segmentation and classification process.

To address the limitations found in the literature, the following aspects are considered: i) using only the gray levels of the G channel for all samples in the pre- and post-processing stages, even if the samples are from different staining processes; ii) segmentation and classification of various blood components, including leukocytes (nuclei and cytoplasm), erythrocytes and blood plasma; iii) automatic calculation of the supports of the fuzzy sets for the tonality and proximity variables; iv) identification of four distinct areas in images whose histograms have only three well-defined regions; v) use of the Euclidean distance between the leukocyte nuclei and other image pixels, mitigating the problem of adjacency between the leukocyte cytoplasm and erythrocytes; vi) reduction of false negatives for leukocyte cytoplasm by classifying pixels appropriately as erythrocytes; and vii) automation of the segmentation process. Adapting the membership functions to the images and using measures such as histogram peaks and the distance between regions as supports of the fuzzy sets make the proposed method automatic and robust, distinguishing it from other approaches.



In this study, 530 microscopic images of blood smears made with various hematologic stains were analyzed, classified and segmented to identify and segment the leukocyte nuclei, leukocyte cytoplasm, erythrocytes and blood plasma.

On blood smear slides prepared for microscopic analysis, the blood plasma has a light color, the erythrocytes and leukocyte cytoplasm have intermediate colors, and the leukocyte nuclei have a dark color. Considering that leukocytes (with a density of 6000-9000/mm3 of blood) appear less frequently than erythrocytes (with a density of 4.5-6.2 million/mm3 of blood) and that the area occupied by blood plasma is as large as or larger than the area occupied by erythrocytes, the histogram of a blood smear image often displays a peak in the dark region, representing the almost imperceptible leukocyte nucleus, and two other peaks representing blood plasma, erythrocytes and leukocyte cytoplasm, which are more visible. Despite the different densities of the blood components, the images in the present study all contain at least one leukocyte, several erythrocytes and significant areas of blood plasma.

For each image, the method comprises pre-processing, processing and post-processing stages.

In the first stage, based on the histogram of the G channel, the image is pre-classified to calculate the values that will be used to define the support of the fuzzy sets for the tonality and proximity variables. The algorithm for this stage can be briefly described as follows:

Step 1: Extract the green channel of the RGB image (G).

Step 2: Extract the G image histogram.

Step 3: Calculate the three most relevant histogram peaks (DarkPeak, MediumPeak and LightPeak), which will be used in the definition of the linguistic variable tonality.

Step 4: Pre-classify the G image into three regions according to the dark and light peaks (leukocyte nucleus DarkPeak, DarkPeak < foreground < LightPeak, and blood plasma LightPeak).

Step 5: Calculate the centroids of the pre-classified areas, such as the leukocyte nuclei, after performing closure and region-filling operations.

Step 6: Calculate the Euclidean distance between the image pixels and the centroid of the nearest leukocyte nucleus (matrix D).

Step 7: Calculate the HighProx and LowProx values, which will be used in the definitions for the support of the fuzzy set for the proximity variable.

In the next stage (processing), a fuzzy inference system classifies the pixels in each image region based on the linguistic input variables tonality and proximity, their respective membership functions and the fuzzy rule base. The stages of the algorithm are as follows:

Step 1: Construction of the fuzzy linguistic variables tonality and proximity using the DarkPeak, MediumPeak, LightPeak, HighProx and LowProx values calculated in the pre-processing stage.

Step 2: Fuzzification of matrix G based on the linguistic terms for tonality (dark, medium, and light) and their respective pertinence functions.

Step 3: Fuzzification of matrix D based on the linguistic terms for proximity (high and low) and their respective pertinence functions.

Step 4: Application of the fuzzy rule base.

Step 5: Aggregation of outputs and defuzzification of the fuzzy output variable class (leukocyte cytoplasm, leukocyte nucleus, erythrocyte and blood plasma) using the mean-of-maximum method.

In the final stage, post-processing, the classified image is refined by removing erythrocytes erroneously classified as leukocyte cytoplasm (i.e., false positives). Finally, the image is segmented. The stages of the algorithm are as follows:

Step 1: Removal of false positives for leukocyte cytoplasm with RGB values corresponding to erythrocytes.

Step 2: Elimination of small areas of leukocyte cytoplasm.

Step 3: Filling of regions in the classified areas.

Step 4: Segmentation of leukocyte (nucleus and cytoplasm), erythrocyte and blood plasma regions in the original image according to their classifications.

MathWorks Matlab R2014a software (The MathWorks, Inc., 3 Apple Hill Drive, Natick, Massachusetts 01760 USA) was used to implement the stages of the model.


Each microscopic blood slide image is represented by a color matrix , where n and m correspond to the two axes of the Cartesian plane of the image and the color of each pixel is given by the three primary color channels: red (R), green (G) and blue (B). In the present study, the G channel is used in the pre-processing and processing stages because the color of the leukocyte nucleus ranges from navy blue to purple, whereas the R and B channels represent darker tones. Because the leukocyte nuclei and the blood plasma are always dark and light, respectively, regardless of the hematologic staining used in the sample, the three RGB color channels of the original image (Figure 1a) are separated in the pre-processing stage, and only channel is considered (Figure 1b). The histogram of the G channel, , is constructed (Figure 1c), and the three most significant peaks, DarkPeak, MediumPeak and LightPeak, are calculated.

To determine the three most significant peaks in the G channel histogram of the image, the histogram is initially considered as a 256-position vector, with each position representing a gray level and containing the frequency of occurrence for that level among the pixels in the image. Each position in the vector is examined beginning from the first position. If the frequency of the current position is higher than the frequency of the following position, the latter position is assigned the value of the former. Consequently, the highest frequency is repeated whenever there is a decrease in frequency in the histogram curve, indicating the occurrence of a valley (Figure 1d). The same procedure is repeated throughout the vector in the other direction (from the end) in case the third peak is smaller than the second. As a result, the most significant peaks will represent the three gray levels whose frequencies are most repeated (Figure 1e), with DarkPeak defined as the maximum frequency between a gray level of 0 and the occurrence of the first valley, MediumPeak as the maximum frequency between the first and second valley and LightPeak as the maximum frequency between the second valley and a gray level of 255. These values are used to define the support of the fuzzy set for the tonality variable in the processing stage.

Considering the DarkPeak and LightPeak values as thresholds, the G channel is pre-classified according to expression 1 to generate the matrix , which contains regions identifying the areas of the image representing leukocyte nuclei, the foreground (i.e., neither nucleus nor plasma) and blood plasma, defined with values of 0, 126 and 255, respectively.

In the areas pre-classified as representing a leukocyte nucleus, closing operations (dilation followed by erosion) are applied using a circular structuring element, and these regions are filled to join nearby objects that are disconnected. The centroid of the leukocyte nucleus (i.e., the center of mass), , is then calculated (Figure 1f), and matrix is constructed from the Euclidean distance between each pixel of the image and the centroid (Figure 1g) according to expression 2.

The matrix containing the Euclidean distance between the pre-classified pixels, such as those representing blood plasma, and the centroid of the leukocyte nucleus is then calculated according to expression 3.

If there is more than one leukocyte nucleus, more than one center will be calculated, and the Euclidean distance of any point will always be calculated relative to the leukocyte nucleus closest to it.

Finally, the HighProx and LowProx values are calculated. HighProx is defined as the minimum value of matrix DP, indicating the blood plasma closest to a leukocyte nucleus. LowProx is defined as 1/3 of the Euclidean distance between HighProx and the maximum value of matrix D. These values are used to define the support of the fuzzy set for the proximity variable in the processing stage (Figures 1f and 1g).

Processing: Fuzzy inference system

The processing stage consists of a fuzzy inference system using membership functions for the fuzzification of crisp data. From a set of well-defined fuzzy rules, the image is classified into four distinct regions: leukocyte nuclei, leukocyte cytoplasm, erythrocytes and blood plasma. Each leukocyte in the image will result in regions classified as leukocyte nucleus and leukocyte cytoplasm.

The blood components can be distinguished from each other in the sample images because of the different colors they exhibit after staining. Because this work focuses on the G channel of each sample, different shades of gray are used to identify the components. However, erythrocyte and leukocyte cytoplasm components have very similar shades of gray, and their appearance varies: erythrocytes will sometimes be darker than the leukocyte cytoplasm, and sometimes the reverse will occur, resulting in histograms with three well-defined regions (representing leukocyte nuclei, blood plasma and other elements) and a poorly defined and poorly positioned fourth region (representing erythrocytes and leukocyte cytoplasm). Consequently, in addition to gray levels, the proximity of the leukocyte cytoplasm to the leukocyte nucleus is also considered. This is a powerful method of identification because erythrocytes are anucleate. A fuzzy approach is used that combines the imprecise grayscale information with proximity information to handle the uncertainty in the segmentation of the areas of interest. The inference system used is based on the three-stage method presented by Mamdani (1974), which includes fuzzification, inference procedures and defuzzification (Figure 2a), and classifies each image into four regions after the individual processing of each pixel (Figure 2b).

Fuzzification consists of mapping the crisp numerical entries to the fuzzy sets, represented by the linguistic input variables, through the membership functions. In the fuzzy inference process, the fuzzy rule base is applied to the fuzzified input values, thereby inferring the corresponding fuzzy output value. Defuzzification is used to associate a crisp numerical value with the output fuzzy value obtained from the fuzzy inference procedure.

In the input to the inference system, each pixel has an associated gray level (gij) and Euclidean distance between the pixel and the centroid of the closest leukocyte nucleus (dij). These values are fuzzified using pertinence functions (Figure 2c), the fuzzy rules are applied, the results are aggregated, and the final value is defuzzified, thereby classifying the pixel according to the appropriate class (Figure 2d).

The proposed fuzzy inference system uses three linguistic variables, two input variables (tonality and proximity) and one output variable (class).

The input fuzzy linguistic variable tonality refers to the gray values in the G histogram of the image. Three linguistic terms are defined for tonality: dark, medium and light. The supports of their respective fuzzy sets are represented by the values of the three most significant peaks found in the histogram in the pre-processing stage (DarkPeak, MediumPeak and LightPeak). Trapezoidal membership functions are defined for dark, medium and light tonality in which more than one value assumes full membership. Any value below DarkPeak has maximum membership in the dark tonality fuzzy set, and any value above LightPeak has maximum membership in the light tonality fuzzy set. Finally, any value between MediumPeak and ((LightPeak+ MediumPeak)/2)+ LightPeak) has maximum membership in the medium tonality fuzzy set. The universe of discourse is characterized by the values of the G channel.

The linguistic fuzzy input variable proximity refers to the Euclidean distance of each pixel from the centroid of the nearest leukocyte nucleus. Two linguistic terms are defined for proximity: high and low. The supports of their respective fuzzy sets are represented by the HighProx and LowProx values determined from the Euclidean distances in matrix D in the pre-processing stage. Trapezoidal membership functions are defined for high proximity and low proximity. Any value below HighProx has maximum membership in the high proximity fuzzy set, and any value above LowProx has maximum membership in the low proximity fuzzy set. The universe of discourse is characterized by the values of matrix D.

The concepts used to define the supports of the fuzzy sets for the tonality and proximity variables are well delimited, and the same definitions apply irrespective of the image. However, the values resulting from the application of these concepts (DarkPeak, MediumPeak, LightPeak, HighProx and LowProx), which represent the values used in the pertinence functions, are adaptive because they reflect the application of the concepts to a specific image, resulting in specific values for each image.

The output variable class refers to the final classification of the image after the fuzzy inference system is applied. Four fuzzy sets are defined: leukocyte nucleus, leukocyte cytoplasm, erythrocyte and blood plasma.

In the system input, matrices G and D are fuzzified for each pixel, resulting in matrices containing the degree of membership of each element in the dark tonality (Figure 3a), medium tonality (Figure 3b), light tonality (Figure 3c), high proximity (Figure 3d) and low proximity (Figure 3e) fuzzy sets.

After the fuzzification process, the following fuzzy rules are applied to the fuzzified matrices:

Rule 1: If tonality is dark then the class is leukocyte nucleus;

Rule 2: If tonality is light then the class is blood plasma;

Rule 3: If tonality is medium and proximity is low then the class is erythrocyte;

Rule 4: If tonality is medium and proximity is high then the class is leukocyte cytoplasm.

Aggregation of the class outputs is then performed (Figures 4a, 4b, 4c and 4d), and finally the result is defuzzified using the mean-of-maximum (MoM) method (Figure 4e). In this defuzzification method, a deterministic (i.e., not fuzzy) output is obtained by taking the mean of the two extreme elements in the universe corresponding to the highest values of the membership functions (i.e., the mean-maximum membership values). After defuzzification, the image is classified into the four regions of interest: leukocyte nucleus, leukocyte cytoplasm, blood plasma and erythrocytes.


In the post-processing stage, refinements are made in the fuzzy classification. First, regions classified as leukocyte cytoplasm are verified to determine whether there are pixels whose RGB values are also present in a region classified as erythrocyte. If so, this is a false positive for leukocyte cytoplasm, and the pixel is classified as erythrocyte (Figure 4f). Next, leukocyte cytoplasm regions with areas considered to be small (i.e., with areas of less than ¼ of the other regions) are eliminated, followed by a filling operation. Finally, in the original image OI, the leukocyte nucleus, leukocyte cytoplasm, erythrocyte and blood plasma classes are segmented according to their respective classifications (Figure 4g). The leukocyte class results from a join (AND) operation between the leukocyte nucleus and leukocyte cytoplasm classes. This class is relevant because of the importance of the differential analysis of leukocytes and so that the segmentation results from the proposed method can be compared with results reported in the literature, which are usually presented for leukocyte segmentation as a whole and not individually for the leukocyte nucleus and leukocyte cytoplasm.



To evaluate the proposed method, 530 microscopic images of blood smears of different sizes and made using different hematological stains were used. The images contained normal blood components, including all types of leukocytes, and regions of adjacent leukocyte cytoplasm and erythrocytes. These regions exhibited different colors from sample to sample, making this set of heterogeneous images difficult to classify (Figure 5). The images were drawn from four groups: samples made using a well-defined staining process (G1, G2, G3) and samples made using an unspecified staining process (G4).

The first three groups (G1, G2 and G3), contained 415 images from the Hemocentro do Rio Grande do Norte Dalton Cunha (Hemonorte). The blood samples were prepared using standard blood smears that were fixed and analyzed using Fast Panoptic (G1; 150 images), Leishman (G2; 140 images) and Rosenfeld (G3; 125 images) stains. The images were captured using a Labomed LX 400 microscope (100X magnification) and an iVu 5100 camera coupled to the microscope with a resolution of 96 pixels/inch and an image size of 1280 x 720 in the JPEG picture format.

The fourth group (G4) contained images from the BloodLine Image Atlas, available free of charge at Although this website offers more than 800 hematological slides depicting various blood disorders and malignancies, it was decided to use the 115 images containing normal blood to enable a more accurate comparison between this group and the others. Therefore, the images classified as normal blood or from a dense or thin area were chosen. All images were captured at 100x magnification. Stains used in slide preparation that were visibly different from the others were considered unspecified.

All images were segmented and compared with the results of manual segmentation performed and verified by experts. The metrics used for comparison were the true positive (TP), false positive (FP), true negative (TN) and false negative (FN) rates. The accuracy (AC), as defined in Aghajari and Damayanti (2011), was also calculated as in expression 4.

The results obtained in the comparative analyses using the fuzzy method presented here are shown in Table 1 and discussed below.



The different groups of images processed in the study were used to demonstrate the automatic segmentation and classification of blood components independent of the staining technique used on the samples (Figures 5a, 5b, 5c and 5d). High rates of TP and TN were obtained, indicating a high percentage of success in identifying the presence or absence, respectively, of each component in the samples. The FP and FN rates represent the percentage of errors in identifying the presence or absence of a component when compared to the manual segmentation results.

A high level of accuracy was achieved in the classification of blood components in the 530 images, especially the leukocytes, leukocyte nuclei and leukocyte cytoplasm, with a high percentage of correct results compared to errors in identifying these components. In the identification of leukocyte nuclei, it was observed that the FP rate resulted from the similarity in the staining of the leukocyte nucleus and leukocyte cytoplasm in some samples (Figure 5e), which also increased the FN rate for leukocyte cytoplasm, and from the presence of artifacts derived during the preparation process (Figure 5f). The FN rate was due primarily to the failure to identify the edges of leukocyte nuclei visible in manual segmentation (Figure 5g). For leukocyte cytoplasm, FP errors were observed when erythrocytes adjacent to the leukocyte cytoplasm were incorrectly identified (Figure 5h). FN errors occurred primarily as a result of the leukocyte cytoplasm staining process, in which, depending on the sample preparation and the time of exposure to the reagent dye, the cytoplasm was sometimes not adequately stained (Figure 5i).

For erythrocyte classification, the FN rate was a result of the region-filling operation, which did not perform properly for erythrocytes located at the edges of the images (Figure 5j). In such cases, the centers of the erythrocytes were incorrectly classified as blood plasma, increasing the FP rate. The FP errors were due to the presence of platelets, which were not considered in the analysis (Figure 5k), artifacts and loss of focus of the microscope at the edges of the image (Figure 5l). In the latter case, blood plasma, which exhibited a darker tone, was incorrectly classified as erythrocytes, increasing the FN rate.

Similar results were obtained for groups G1, G2 and G3 for leukocytes, erythrocytes and blood plasma, and there were minor variations in the leukocyte components (nucleus and cytoplasm) depending on the stain applied. Groups G1, G2, G3 produced similar results to G4, demonstrating a high degree of independence from the hematological staining technique used on the samples.

The TP, TN, FP, FN and AC rates obtained demonstrate the ability of the method to achieve the proposed goals (Figures 6a, 6b and 6c).

The mean accuracy results obtained for all components demonstrate the effectiveness of the approach, and when compared to other approaches for leukocyte segmentation using the same metrics (Figure 6d), it is also shown to be viable. When the results obtained with the proposed method are compared to those reported for other approaches in the literature, it can be observed that the former is equal or superior in terms of the number of samples processed and the diversity of the staining processes used for sample preparation (Table 2).

In general, the results achieved for all metrics in the comparative analyses were good, validating the use of the proposed method. The main contributions of the method described in this paper are as follows: (i) the ability to classify blood components with a high level of independence from the hematological staining technique used on the sample; (ii) automatic identification of the supports of the fuzzy sets from the analyzed sample (which is not common in fuzzy logic; supports are often obtained heuristically); (iii) the definition of a fuzzy descriptor based on proximity for the differentiation of leukocyte cytoplasm and erythrocytes, whose gray levels are similar; iv) the construction of adaptive fuzzy membership functions whose values change for each image; and v) image segmentation into four distinct regions based on histograms that show only three well-defined regions.

Future studies will involve enlarging the blood cell database and developing a fuzzy leukocyte identification system to recognize different leukocyte types (i.e., neutrophils, eosinophils, basophils, lymphocytes, and monocytes) in microscopic images.



The authors wish to acknowledge the Electrical and Computer Engineering Graduate Program of the Federal University of Rio Grande do Norte and Hemocentro do Rio Grande do Norte Dalton Cunha (Hemonorte).



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Received: 23 July 2014
Accepted: 05 November 2014



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