A butterfly subdivision scheme for surface interpolation with tension control
ACM Transactions on Graphics (TOG)
The simplest subdivision scheme for smoothing polyhedra
ACM Transactions on Graphics (TOG)
Exact evaluation of Catmull-Clark subdivision surfaces at arbitrary parameter values
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Using lattice for web-based medical applications
Proceedings of the sixth international conference on 3D Web technology
Subdivision Methods for Geometric Design: A Constructive Approach
Subdivision Methods for Geometric Design: A Constructive Approach
Proceedings of the 2005 ACM symposium on Solid and physical modeling
Chapter 5: Smooth Surface Reconstruction Using Doo-Sabin Subdivision Surfaces
GMAI '08 Proceedings of the 2008 3rd International Conference on Geometric Modeling and Imaging
Spline thin-shell simulation of manifold surfaces
CGI'06 Proceedings of the 24th international conference on Advances in Computer Graphics
Polynomial regression based edge filtering for left ventricle tracking in 3d echocardiography
STACOM'11 Proceedings of the Second international conference on Statistical Atlases and Computational Models of the Heart: imaging and modelling challenges
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We introduce an isoparametric finite element analysis method for models generated using Doo-Sabin subdivision surfaces. Our approach aims to narrow the gap between geometric modeling and physical simulation that have traditionally been treated as separate modules. This separation is due to the substantial geometric representation differences between these two processes. Accordingly, a unified representation is investigated in this study. Our proposed method performs the geometric modeling via Doo-Sabin subdivision surfaces, which are defined as the limit surface of a recursive Doo-Sabin refinement process. The same basis functions are later utilized to define isoparametric shell elements for physical simulation. Furthermore, the accuracy of the simulation can be adjusted by the basis refinements, without changing the geometry or its parametrization. The unified representation allows rapid data transfer between geometric design and finite-element analysis, eliminating the need for inconvenient remodeling/meshing procedures commonly deployed. Experiments show that the physical simulation accuracy of the introduced models quickly converges to high resolution finite element models, using classical hexahedron and triangular prism elements.