Keywords

1 Introduction

In the emerging technological world, the infertility raises rapidly and destroys life of about 15% human couples [1]. Wenzhong et al. [2] and Menkveld et al. [3] describes the semen parameter for proper monitoring. There are different approaches are utilized to study about semen ability [4,5,6,7] to strengthen the human body. Now a days different methods are used to know the detection rate of sperms in the human semen to avoid infertility the proposed method is very efficient for tracking multiple sperm in human semen.

In the paper Sect. 2 describes the multiple sperm detection and tracking system: Sect. 3 describes the proposed algorithm. Section 4 describes experimental results and discussion. Section 5 describes conclusion part.

2 Multiple Sperm Detection and Tracking

Block diagram of our proposed multiple sperm detection and tracking system is shown in Fig. 1. Background subtraction module is given to camera.

Fig. 1
figure 1

The proposed sperm tracking system

To compute the evidence of sperm presence for each pixel on the image, segmented foreground is used. By locating storage element the detection of sperm is performed. After detection of sperm candidate, analytical models are computed for each of the candidates. To match sperms we have developed an efficient method. Each tracked sperm is represented by its analytical model and associated by Kalman filter. During matching process candidates are updated.

For background Subtraction, a pixel p represents color f(p), represented in rgl space (normalized red, normalized green and light intensity) Each pixel \( P_{i} \) with models, is classified as:

$$ \left| {f_{n} \left( {P_{i} } \right) - m_{k}^{c} } \right| > d_{th} V_{k}^{c} $$
(1)

where

\( d_{th} \) :

decision boundary threshold

\( V_{k}^{c} \) :

variance in channel c

\( m_{k}^{c} \) :

k-th Gaussian mean vector in channel c

3 Proposed Algorithm

Step 1: Load microscopic video of human sperm.

Step 2: The line segment compute the support by Counting Sperms contained

\( \left( {{\text{u}} = P_{i} , \ldots P_{n} } \right) \), \( T_{h}^{(min)} ,\;T_{h}^{(max)} \)

Where \( T_{h}^{(min)} \; and\; T_{h}^{(max)} \) are the minimum and maximum thresholds.

Step 3: If \( x_{i} \) is foreground then \( f_{i} \leftarrow f_{i} + 1 \)

Else \( f_{i} \leftarrow f_{i} - 1 \)

end if

Step 4: \( f_{j} = i - T_{h}^{(max.)} P_{i} \)

If \( f_{j} > 0 \) \( T_{h}^{(max.)} \leftarrow \left[ {f_{i} - f_{j} } \right]/P_{i} \)

else

$$ T_{h}^{(max.)} \leftarrow f_{i} /P_{i} $$

end if

Step 5: If \( T_{h} \ge T_{h}^{(min)} \)

Then \( S\left( {P_{i} } \right) \leftarrow T_{h} \)

Where, \( S\left( {P_{i} } \right) \) = Supporting element for \( T_{h}^{(min)} \) and \( T_{h}^{(max)} \)

for sperm dimension determination.

Else

$$ S\left( {P_{i} } \right) \leftarrow 0 $$

End if, until the value is converged.

4 Experimental Results and Discussion

This paper used a specific algorithm to detect multi moving sperms in human semen for proper diagnosis. The calculations of detection rate as indicated in Eq. 2.

$$ D_{r} = \frac{{T_{p} }}{{T_{p} + F_{N} }} $$
(2)

where

Tp :

detected pixel

FN :

undetected pixel

The Table 1 shows the output result of the proposed algorithm. From our knowledge the detection rate of proposed method is higher than the previously used approaches. The detection rate from microscopic view of semen specimen with sperms was satisfactory and for real time implementation which shown in Figs. 2, 3, 4, 5 and 6.

Table 1 Output for moving lyme disease tracking in rhesus macaques blood
Fig. 2
figure 2

The 40X detected video

Fig. 3
figure 3

The 100X detected video

Fig. 4
figure 4

The 350X detected video

Fig. 5
figure 5

The 400X detected video

Fig. 6
figure 6

The 450X detected video

5 Conclusion

In this paper, a novel method for tracking sperm is proposed. The utilization of this method is able to track the sperms and detect with high detection rate. The detection rate is higher than the previously existing approaches. So this can be utilized for proper analysis of infertility in future.