The purpose of this paper was to apply and express to a particle production system based on mathematical models to raise a cloud of spray. It was used that a crash was used to conflict expanding wave generation model and applying the block cover. Also, we applied to the KD-tree in order to reduce trial search. The block cover was created with the creation on the phase of height values. The waves and wind made by character's emotions, which input use as the value. Reached a certain level in both cases, waves and waves are generated a cloud of spray by the collision. The repetition of generated waver was applied with the Windows function. Handling conflict is affected in a cloud of spray. Generated KD-Tree renewal grid is beyond the range in block cover and is not a uniform height. It is built that the processing of collision is not performed by the level on height of a wave. This process was designed by the best statistical analysis after reviewing sufficient factual nature. This paper is applied with a cloud of splay for emotional online games like game that tried to apply the spray can apply for the environment. If you use a physically-based model requires a lot of calculation time, the physically-based models ask a lot of complicated calculation time for solver this program and high-performance systems. However, a block-cover can be role of a very effective way for enough performance. Through the analysis result can be obtained a sufficient result in easy implementation of the cloud of spray

The purpose of this study was to make the sea with rending of ocean by using the proper algorithm for an emotional online game. We used statistical model to make the sea in this study. In measuring the wave height, we used Fast Fourier Transformation (FFT) to calculate the sum of amplitude and phrase quickly with random numbers of the time. We eliminated the overlap functions of sine and cosines by using the repeatability of trigonometric function. We saved the values of trigonometric function in memory space. Therefore, we could deal with the repetitive calculations by memory access because the same values are repeated in the standard based on π within one cycle of 2π in sine and cosine functions. By changing the sampling size of Windows function, we calculated the mobility on each local area and we applied this mobility to this study according to hierarchical structure. In addition, we used the reflectivity differently by putting the value of k,r into the effect Fresnel reflection. The reason why we used this method was to make the sea look more realistic. In the aspect of the intensity of light of the sea, we did not calculate it and we applied KD- Tree data structure on the density of the values occurred at the time of the sea was created. The advantage of this method was to reduce search time effectively. In this Tree structure, index time  log  , search time and    log  time are spend, which is applied to the photon closed to  . In the case of KD-Tree, this is a very effective way in saving and recovering. One weakness was that we had to limit the effect of indirect illumination to express a wide sea. However, by using photon mapping, we solved this problem