This paper first describes the principle of topological data and the basic steps of topological data analysis. It then outputs images using parametric filters and establishes the expressions of differential evolution. The system is designed using a Gaussian mixture model, the stroke matching module is categorized, and the composition execution diagram of the system is designed. Finally, the calligraphy creation system based on topological data analysis is completed, and the three evaluation results are 62.6%, 58.9%, and 59.2%, all of which are more than 50%, which is better than the traditional creation system. The topological data-based oriented calligraphy creation system designed in this paper is proven effective in achieving calligraphy creation and has good application.