A new interpolatory subdivision for quadrilateral meshes

This paper presents a new interpolator? 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. © The Eurographics Association and Blackwell Publishing Ltd 2005.