In this paper, a general method of heart surface triangulation mesh reconstruction is studied and designed for different contour data formats from various contour extraction methods in the heart slice images process. Through utilizing the basic characteristics of the heart shape and slice data, both Cosine rotating and postponed sorting are combined with the three-subdivisions. The recovering of the relationship among contour points and reconstructing the triangular mesh is implemented simultaneously. This paper describes the basic principle, implementation strategy and algorithm design. The experiment verifies the effectiveness of the proposed approach.