Sun, LanyinZhu, ChungangFu, Hongbo and Ghosh, Abhijeet and Kopf, Johannes2018-10-072018-10-0720181467-8659https://doi.org/10.1111/cgf.13583https://diglib.eg.org:443/handle/10.1111/cgf13583Toric surface patch is the multi-sided generalization of classical Bézier surface patch. Geometric continuity of the parametric surface patches plays a crucial role in geometric modeling. In this paper, the necessary and sufficient conditions of curvature continuity between toric surface patches are illustrated with the theory of toric degeneration. Furthermore, some practical sufficient conditions of curvature continuity of toric surface patches are also developed.Computing methodologiesShape modelingApplied computingComputeraided manufacturingGeneral and referenceDesign10.1111/cgf.13583469-477