I want to calculate the trajectory of a cricket ball using the TV camera, and be able to model the ball after it pitches. However, I am finding it difficult to accurately get the values of bounce angle and find the coefficient of friction (CoF). Bounce angle is the angle the ball makes with the ground as it rebounds, and CoF is the measure of how much the ball grips on the surface. For instance, CoF decreases as the dew factor increases. The present formula used for bounce angle is the arctangent of vertical velocity/ horizontal velocity, and for CoF it is change in horizontal velocity/ change in vertical velocity. Horizontal velocity is velocity along the direction of the pitch and vertical velocity is velocity in the up-down direction. The problem I am facing is since we are using only 1 TV camera that is also moving slightly, the vertical velocity is not accurate and therefore values of bounce angle and CoF are inaccurate. I have the values for release speed, average speed of the delivery. I also know a ball loses 14% of horizontal velocity by the time it reaches the batsman. From the known values is it possible to figure out the bounce angle and perhaps model the CoF from the bounce angle and find the correlation between them both? I saw some papers on the topic and what I could understand was that the higher the coefficient of friction, the larger the bounce angle. The papers involve some physics equations but I am not sure how or where to apply them here. I would appreciate any ideas on an alternate way to calculate bounce angle and coefficient of friction. Reference papers I've seen: (PDF) Studies on the Oblique Impact of a Cricket Ball on a Cricket Pitch (PDF) Predicting the playing character of cricket pitches Numerical simulations of a cricket ball trajectory Continue reading...
