A butterfly subdivision scheme for surface interpolation with tension control
ACM Transactions on Graphics (TOG)
Interpolating Subdivision for meshes with arbitrary topology
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
A variational approach to subdivision
Computer Aided Geometric Design
The simplest subdivision scheme for smoothing polyhedra
ACM Transactions on Graphics (TOG)
The NURBS book (2nd ed.)
Subdivision surfaces in character animation
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Edge and vertex insertion for a class of C1 subdivision surfaces
Computer Aided Geometric Design
Dynamic Catmull-Clark Subdivision Surfaces
IEEE Transactions on Visualization and Computer Graphics
A cascadic geometric filtering approach to subdivision
Computer Aided Geometric Design
Trimming for subdivision surfaces
Computer Aided Geometric Design
Modeling smooth shape using subdivision on differential coordinates
Computer-Aided Design
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Subdivision methods have been mainly used in computer graphics. This paper extends their applications to the integration of geometric design and Finite Element Analysis (FEA) for sheet metal structures, and fulfils the seamless integration of geometric design and FEA in the model and representation. A common model or a unified representation for geometric design and FEA was created with subdivision surfaces for sheet metal structures. Automatic mesh generation for geometric design and FEA was fulfilled through subdivision methods. The seamless integration can improve the accuracy in numerical analysis and shorten the cycle for the geometric design and the FEA of sheet metal structures.