Due to their irregularity, the shape of particles is not accurately described by Euclidian geometry. However, fractal geometry uses the concept of fractal dimension, D R , as a way to describe the shape of particles. In this study, the fractal dimensions and shape properties of particles were determined using image analysis. Exponential relationships between the fractal dimension and roundness, sphericity, angularity, convexity were described. A set of empirical correlations were also presented which clearly demonstrated the link between fractal dimension and shape properties of particles. Additionally, a new classification chart proposed for use in describing and comparing particle shape and fractal dimension.
An accurate and robust sperm cells tracking algorithm that is able to detect and track sperm cells in videos with high accuracy and efficiency is presented. It is fast enough to process approximately 30 frames per second. It can find the correct path and measure motility parameters for each sperm. It can also adapt with different types of images coming from different cameras and bad recording conditions. Specifically, a new way is offered to optimize uneven lighting images to improve sperm cells detection which gives us the ability to get more accurate tracking results. The shape of each detected object is used to specify collided sperms and utilized dynamic gates which become bigger and smaller according to the sperm cell's speed. For assigning tracks to the detected sperm cells positions an improved version of branch and bound algorithm which is faster than the normal one is offered. This sperm cells tracking algorithm outperforms many of the previous algorithms as it has lower error rate in both sperm detection and tracking. It is compared with six other algorithms, and it gives lower tracking error rates. This method will allow doctors and researchers to obtain sperm motility data instantly and accurately. How to cite this article: Alabdulla, AA, Haşıloglu, A, Aksu, EH: A robust sperm cell tracking algorithm using uneven lighting image fixing and improved branch and bound algorithm.
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