A new interpolation subdivision scheme for triangle/quad mesh

In this paper, we present a new interpolation subdivision scheme for mixed triangle/quad meshes that is C1 continuous. The new scheme is capable of reproducing the well-known four-point based interpolation subdivision in the quad region but does not reproduce Butterfly subdivision in the triangular part. The new scheme defines rules that produce surfaces both at the regular quad/triangle vertices and isolated, extraordinary points. We demonstrate the visually satisfying of our surfaces through several examples.

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• We present an interpolating subdivision scheme for mixed triangle/quad meshes.
• It produces interpolating surfaces at the regular quad/triangle vertices.
• It produces interpolating surfaces at isolated, extraordinary points.
• The visual quality of the surfaces are nice.