Abstract Mesh optimization is essential to enable sufficient element quality for numerical methods such as the finite method (FEM). Depending on required accuracy and geometric detail, a mesh with many elements necessary resolve small-scale details. Sequential of large meshes often imposes long run times. This especially an issue Delaunay-based methods. Recently, notion harmonic triangulations ...

The CapD enzyme of Bacillus anthracis is a γ-glutamyl transpeptidase from the N-terminal nucleophile hydrolase superfamily that covalently anchors the poly-γ-D-glutamic acid (pDGA) capsule to the peptidoglycan. The capsule hinders phagocytosis of B. anthracis by host cells and is essential for virulence. The role CapD plays in capsule anchoring and remodeling makes the enzyme a promising target...

This paper presents a hierarchical tetrahedral mesh model to represent the bone density atlas. We propose and implement an efficient and automatic method to construct hierarchical tetrahedral meshes from CT data sets of bony anatomy. The tetrahedral mesh is built based on contour tiling between CT slices. The mesh is then smoothed using an enhanced Laplacian algorithm. And we approximate bone d...

In the last years, substantial progress has been achieved in the area of volume visualization on irregular grids, which is mainly based on tetrahedral meshes. No attempts have been made so far to compress tetrahedral meshes losslessly, although this is especially important for scientific applications since even moderately fine meshes consume several mega-bytes of storage. In this paper we close...

Using a numerical implementation of the ADHMN construction, we compute the fields and energy densities of a charge three monopole with tetrahedral symmetry and a charge four monopole with octahedral symmetry. We then construct a one parameter family of spectral curves and Nahm data which represent charge four monopoles with tetrahedral symmetry, which includes the monopole with octahedral symme...

We present a tetrahedral mesh improvement schedule that usually creates meshes whose worst tetrahedra have a level of quality substantially better than those produced by any previous method for tetrahedral mesh generation or “mesh clean-up.” Our goal is to aggressively optimize the worst tetrahedra, with speed a secondary consideration. Mesh optimization methods often get stuck in bad local opt...

Both square planar and tetrahedral isomers of the four-coordinate complex [Co(Bc(tBu))2] with a bis(3-tert-butylimidazol-2-ylidene)borate ligand (Bc(tBu)) have been isolated while only a tetrahedral configuration was found for the Fe(ii) analogue [Fe(Bc(tBu))2]. Novel co-crystals containing both isomers of [Co(Bc(tBu))2] have been obtained from recrystallization.

In this note we propose a post-refinement technique, which can be used to provide the overall conformity of two different tetrahedral meshes meeting at the planar interface. The algorithm also applies to the case where the boundary triangulation of the existing tetrahedral mesh is changed but the rest of the mesh is reused.