A butterfly subdivision scheme for surface interpolation with tension control
ACM Transactions on Graphics (TOG)
A unified approach to subdivision algorithms near extraordinary vertices
Computer Aided Geometric Design
Interpolating Subdivision for meshes with arbitrary topology
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Combining 4- and 3-direction subdivision
ACM Transactions on Graphics (TOG)
On C2 triangle/quad subdivision
ACM Transactions on Graphics (TOG)
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
ACM Transactions on Graphics (TOG)
Deducing interpolating subdivision schemes from approximating subdivision schemes
ACM SIGGRAPH Asia 2008 papers
A Factored Approach to Subdivision Surfaces
IEEE Computer Graphics and Applications
ACM SIGGRAPH 2009 papers
Interpolatory quad/triangle subdivision schemes for surface design
Computer Aided Geometric Design
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In this paper, we present a new interpolation subdivision scheme for mixed triangle/quad meshes that is C^1 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.