Construction of a modified butterfly subdivision scheme with C2-smoothness and fourth-order accuracy

Abstract

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 C2 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. © 2024 Elsevier Ltd