Li, G.Ma, W.Bao, H.2015-02-192015-02-1920051467-8659https://doi.org/10.1111/j.1467-8659.2005.00824.xThis paper presents a new interpolatory subdivision scheme for quadrilateral meshes based on a 1-4 splitting operator. The scheme generates surfaces coincident with those of the Kobbelt interpolatory subdivision scheme for regular meshes. A new group of rules are designed for computing newly inserted vertices around extraordinary vertices. As an extension of the regular masks,the new rules are derived based on a reinterpretation of the regular masks. Eigen-structure analysis demonstrates that subdivision surfaces generated using the new scheme are C1 continuous and, in addition, have bounded curvature.10.1111/j.1467-8659.2005.00824.x3-16