Three-dimensional alpha shapes
ACM Transactions on Graphics (TOG)
Triangulating topological spaces
SCG '94 Proceedings of the tenth annual symposium on Computational geometry
An incremental algorithm for Betti numbers of simplicial complexes on the 3-spheres
Computer Aided Geometric Design - Special issue on grid generation, finite elements, and geometric design
Fast and robust computation of molecular surfaces
Proceedings of the eleventh annual symposium on Computational geometry
Proceedings of the twelfth annual symposium on Computational geometry
Triangulating the surface of a molecule
Discrete Applied Mathematics - Special volume on computational molecular biology
Nice point sets can have nasty Delaunay triangulations
SCG '01 Proceedings of the seventeenth annual symposium on Computational geometry
Quality meshing with weighted Delaunay refinement
SODA '02 Proceedings of the thirteenth annual ACM-SIAM symposium on Discrete algorithms
Computing Smooth Molecular Surfaces
IEEE Computer Graphics and Applications
Provably good surface sampling and approximation
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Algorithms for smooth and deformable surfaces in three dimensions
Algorithms for smooth and deformable surfaces in three dimensions
Guaranteed Quality Triangulation of Molecular Skin Surfaces
VIS '04 Proceedings of the conference on Visualization '04
Meshing skin surfaces with certified topology
Computational Geometry: Theory and Applications
A new numerical method for nonlocal electrostatics in biomolecular simulations
Journal of Computational Physics
Variational skinning of an ordered set of discrete 2D balls
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
Molecular surface mesh generation by filtering electron density map
Journal of Biomedical Imaging - Special issue on mathematical methods for images and surfaces
Hi-index | 0.01 |
Quality surface meshes for molecular models are desirable in the studies of protein shapes and functionalities. However, there is still no robust software that is capable to generate such meshes with good quality. In this paper, we present a Delaunay-based surface triangulation algorithm generating quality surface meshes for the molecular skin model. We expand the restricted union of balls along the surface and generate an @e-sampling of the skin surface incrementally. At the same time, a quality surface mesh is extracted from the Delaunay triangulation of the sample points. The algorithm supports robust and efficient implementation and guarantees the mesh quality and topology as well. Our results facilitate molecular visualization and have made a contribution towards generating quality volumetric tetrahedral meshes for the macromolecules.