In this study, we develop a finite element model to examine the oblique soccer ball bounce. A careful simulation of the interaction between the ball membrane and air pressure in the ball makes the model more realistic than analytical models, and helps us to conduct an accurate study on the effect of different parameters on a bouncing ball. This finite element model includes a surface-based flui...

We examined how stream/bounce event perception is affected by motion correspondence based on the surface features of moving objects passing behind an occlusion. In the stream/bounce display two identical objects moving across each other in a two-dimensional display can be perceived as either streaming through or bouncing off each other at coincidence. Here, surface features such as colour (Expe...

Downward looking ground penetrating radar (GPR) has been considered a viable technology for landmine detection. For such a GPR with the antennas positioned very close to the ground surface, the reflections from the ground surface, i.e., the ground bounce, are very strong and can completely dominate the weak returns from shallowly buried plastic mines. Hence, one of the key challenges of using G...

In 2003, Haglund’s bounce statistic gave the first combinatorial interpretation of the q, t-Catalan numbers and the Hilbert series of diagonal harmonics. In this paper we propose a new combinatorial interpretation in terms of the affine Weyl group of type A. In particular, we define two statistics on affine permutations; one in terms of the Shi hyperplane arrangement, and one in terms of a new ...

The analytical bounce solution is derived in terms of the polygamma function in the Caldeira-Leggett’s dissipative quantum tunneling model. The classical action for the bounce solution lies between the upper and lower bounds in the full range of α, where α is a dissipation coefficient. The bounce peak point increases from 1 to 4/3 with increase of α. In spite of various nice features we have sh...