A butterfly subdivision scheme for surface interpolation with tension control
ACM Transactions on Graphics (TOG)
The NURBS book
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)
Subdivision surfaces in character animation
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Subdivision-based multilevel methods for large scale engineering simulation of thin shells
Proceedings of the seventh ACM symposium on Solid modeling and applications
Sculptured Surfaces in Engineering and Medicine
Sculptured Surfaces in Engineering and Medicine
Dynamic Catmull-Clark Subdivision Surfaces
IEEE Transactions on Visualization and Computer Graphics
C2 subdivision over triangulations with one extraordinary point
Computer Aided Geometric Design
Composite 2 subdivision surfaces
Computer Aided Geometric Design
Generating subdivision surfaces from profile curves
Computer-Aided Design
A family of subdivision schemes with cubic precision
Computer Aided Geometric Design
From extension of Loop's approximation scheme to interpolatory subdivisions
Computer Aided Geometric Design
Nonlinear subdivision through nonlinear averaging
Computer Aided Geometric Design
Deducing interpolating subdivision schemes from approximating subdivision schemes
ACM SIGGRAPH Asia 2008 papers
A bound on the approximation of a Catmull--Clark subdivision surface by its limit mesh
Computer Aided Geometric Design
Exact evaluation of limits and tangents for non-polynomial subdivision schemes
Computer Aided Geometric Design
Biorthogonal wavelets based on gradual subdivision of quadrilateral meshes
Computer Aided Geometric Design
Trimming for subdivision surfaces
Computer Aided Geometric Design
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Subdivision methods have been mainly used in computer graphics. This paper extends their applications to mechanical design and boundary element analysis (BEA), and fulfills the seamless integration of CAD and BEA in the model and representation. Traditionally, geometric design and BEA are treated as separate modules requiring different representations and models, which include continuous parametric models and discrete models. Due to the incompatibility of the involved representations and models, the post-processing in geometric design or the pre-processing in BEA is essential. The transition from geometric design to BEA requires substantial effort and errors are inevitably introduced during the transition. In this paper, a framework of realizing the integration of CAD and BEA was first presented based on subdivision methods. A common model or a unified representation for geometric design and BEA was created with subdivision surfaces. For general 3D structures, automatic mesh generation for geometric design and BEA was fulfilled through subdivision methods. The seamless integration improves the accuracy of numerical analysis and shortens the cycle of geometric design and BEA.