With the development of network technology, nowadays, it is easy for people to collect data or statistics. However, we sometimes find that the data might be too rough for us to get the information. To collect more data, we determine to use an iterative smoothing method to make information more detailed and increase the amount of data. In this paper, we will use the Poisson process with a piecewise constant function ,and find the objective function of the smoothness definition. We also use the R software to draw out the picture. then we use the known smooth method to do the simulation, last, we will observe the picture down to see Whether it is smooth, and the simulation that we known is not perfect , so we will use our new method, try to see whether to overcome the imperfections, and let the piecewise constant function smooth.