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ARUP; ISBN: 978-0-9562121-5-3 - CMBBE 2012 - Cardiff University

ARUP; ISBN: 978-0-9562121-5-3 - CMBBE 2012 - Cardiff University

ARUP; ISBN: 978-0-9562121-5-3 - CMBBE 2012 - Cardiff University

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3.5.2 VAP<br />

∑ √<br />

Approximation Velocity point to point to the curve generated by the trajectory of<br />

spermatozoa, for this it was used the Bezier Method of curves, equation (7). To calculate the<br />

VAP was necessary to make an approximation to the curve generated by the path between<br />

each six points from the original, then was performed a summation of the distances generated<br />

every three points of the approximation obtained and divided by the duration of the video.<br />

3.5.3 VSL<br />

[ ] [ ] [ ] (7)<br />

Represents the average velocity in a straight line, it was necessary to calculate the total<br />

distance traveled by the sperm cell and divide by the duration of the video. Figure 2b shows<br />

the paths CLV, PAV and VSL, for a video frame.<br />

3.5.4 CAF<br />

Shows the crossover frequency between the straight line of travel VAP and displacement<br />

VSL.<br />

3.5.5 MSM<br />

By the method proposed, which consists of an observation window that traverses the<br />

coordinates obtained by the trajectory Fig. 2c, quantity movements are generated for each<br />

frame, making it possible to obtain the statistical mode of motion. This descriptor is a<br />

measure of regularity in the path.<br />

Fig. 2. (a) Types of path. (b) Paths CLV, PAV and VSL. (c) Observation window.

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