Geometric modeling with splines: an introduction
Geometric modeling with splines: an introduction
Tight cocone: a water-tight surface reconstructor
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
Fair morse functions for extracting the topological structure of a surface mesh
ACM SIGGRAPH 2004 Papers
Interactive modeling of topologically complex geometric detail
ACM SIGGRAPH 2004 Papers
ACM SIGGRAPH 2004 Papers
Periodic global parameterization
ACM Transactions on Graphics (TOG)
Journal of Computational Physics
User-controllable polycube map for manifold spline construction
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Volumetric parameterization and trivariate B-spline fitting using harmonic functions
Computer Aided Geometric Design
Technical Section: A divide-and-conquer approach for automatic polycube map construction
Computers and Graphics
Hexahedral shell mesh construction via volumetric polycube map
Proceedings of the 14th ACM Symposium on Solid and Physical Modeling
Generalized PolyCube Trivariate Splines
SMI '10 Proceedings of the 2010 Shape Modeling International Conference
| Hi-index | 0.00 |
In this paper we present a methodology to create a volumetric representation from a 2-manifold without boundaries represented with untrimmed NURBS surfaces. A trivariate NURBS representation is difficult to construct from such a representation, especially when the input surface patches were created with only a boundary representation as the goal. These kinds of inputs arise in numerous existing geometric modeling scenarios such as models from CAD systems, subdivision surfaces, quadrilateral meshing and data-fitting. Our approach, nearly automatic and only requiring minimal user input, creates a hybrid representation using trivariate NURBS elements at the boundary and unstructured tetrahedral elements in the interior of the object. The original boundary representation of the input model is maintained in the final representation, allowing the volumetric representation to be used in both computer graphics simulations and isogeometric analysis applications. We demonstrate that the hybrid representation yields convergence under model refinement, and that it can be used efficiently in elastic body simulation.