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
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Interpolating Subdivision for meshes with arbitrary topology
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
A Method for Analysis of C1-Continuity of Subdivision Surfaces
SIAM Journal on Numerical Analysis
Stationary subdivision and multiresolution surface representations
Stationary subdivision and multiresolution surface representations
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This paper proposes a new interpolatory subdivision scheme for triangular meshes that produces C1 continuous limit surfaces for both regular and irregular settings. The limit surfaces also have bounded curvature, which leads to improved quality surfaces. The eigen-structure analysis demonstrates the smoothness of the limit surfaces. According to the new scheme, the approach for progressive transmission of meshes is presented. Finally, results of refined models with the new scheme are shown. In most cases, the new scheme generates more pleasure surfaces than the traditional modified butterfly scheme, especially near the irregular settings.