Subdivision has been a very popular technology in graphics at home and abroad. It can be splited into global subdivision and local subdivision, and the methods to subdivide are various including butterfly, modified-butterfly, loop, linear, Catmull-Clark, Doo-Sabin and so on. These methods can be divided into interpolation subdivision and approach subdivision. In this paper, it mainly involves approach and interpolation algorithm, and it mainly introduces a local subdivision algorithm based on triangle mesh reconstruction by Poisson. Aiming at the global subdivision's disadvantages, it is not only save memory space and shorten run time. Local subdivision is very popular in various fields In many case, global subdivision is too waste resource and low efficiency, so global subdivision is not a fine method to optimize model. According to the request and experimental verification, linear algorithm is more suitable for the subject in this paper.