Construction of a modified butterfly subdivision scheme with [formula omitted]-smoothness and fourth-order accuracy.

This article presents a modified butterfly subdivision scheme with improved smoothness over regular triangular meshes. The proposed technique is an approximating scheme with a tension parameter. It achieves fourth-order accuracy and generates C 2 limit surfaces for a suitable range of the parameter while maintaining the same support of the original butterfly scheme. To validate the theoretical results, some numerical examples are provided. [ABSTRACT FROM AUTHOR]