A performance study of tetrahedral and hexahedral elements in 3-D finite element structural analysis
Finite Elements in Analysis and Design
Computer Aided Geometric Design
Multi-level partition of unity implicits
ACM SIGGRAPH 2003 Papers
ACM SIGGRAPH 2004 Papers
Mean value coordinates for closed triangular meshes
ACM SIGGRAPH 2005 Papers
Variational tetrahedral meshing
ACM SIGGRAPH 2005 Papers
ACM SIGGRAPH 2005 Papers
Graphical Models - Special issue on SPM 05
Harmonic volumetric mapping for solid modeling applications
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Modeling and rendering of heterogeneous translucent materials using the diffusion equation
ACM Transactions on Graphics (TOG)
Volumetric parameterization and trivariate b-spline fitting using harmonic functions
Proceedings of the 2008 ACM symposium on Solid and physical modeling
User-controllable polycube map for manifold spline construction
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Technical Section: A divide-and-conquer approach for automatic polycube map construction
Computers and Graphics
Computer Aided Geometric Design - Special issue: Geometric modelling and differential geometry
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
Direct-Product Volumetric Parameterization of Handlebodies via Harmonic Fields
SMI '10 Proceedings of the 2010 Shape Modeling International Conference
Parameterization of star-shaped volumes using green's functions
GMP'10 Proceedings of the 6th international conference on Advances in Geometric Modeling and Processing
SMI 2011: Full Paper: A topology-preserving optimization algorithm for polycube mapping
Computers and Graphics
SMI 2012: Full As-conformal-as-possible discrete volumetric mapping
Computers and Graphics
SMI 2012: Mixed-element volume completion from NURBS surfaces
Computers and Graphics
All-hex meshing using singularity-restricted field
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
PolyCut: monotone graph-cuts for PolyCube base-complex construction
ACM Transactions on Graphics (TOG)
Surface- and volume-based techniques for shape modeling and analysis
SIGGRAPH Asia 2013 Courses
| Hi-index | 0.00 |
Shells are three-dimensional structures. One dimension, the thickness, is much smaller than the other two dimensions. Shell structures can be widely found in many real-world objects. This paper presents a method to construct a layered hexahedral mesh for shell objects. Given a closed 2-manifold and the user-specified thickness, we construct the shell space using the distance field and then parameterize the shell space to a polycube domain. The volume parameterization induces the hexahedral tessellation in the object shell space. As a result, the constructed mesh is an all-hexahedral mesh in which most of the vertices are regular, i.e., the valence is 6 for interior vertices and 5 for boundary vertices. The mesh also has a layered structure that all layers have exactly the same tessellation. We prove our parameterization is guaranteed to be bijective. As a result, the constructed hexahedral mesh is free of degeneracy, such as self-intersection, flip-over, etc. We also show that the iso-parametric line (in the thickness dimension) is orthogonal to the other two isoparametric lines. We demonstrate the efficacy of our method upon models of various topology.