Unstructured tetrahedral meshes are commonly used in scientific computing to represent scalar, vector, and tensor fields in three dimensions. Visualization of these meshes can be difficult to perform interactively due to their size and complexity. By reducing the size of the data, we can accomplish real-time visualization necessary for scientific analysis. We propose a two-step approach for str...

Quantum fluctuations and stability of tetrahedral deformations in atomic nuclei. The possible existence of stable axial octupole and tetrahedral deformations is investigated in 80 Zr and 98 Zr. HFBCS calculations with parity projection have been performed for various parametrizations of the Skyrme energy functional. The correlation and ex-citation energies of negative parity states associated w...

This paper describes an approach to construct unstructured tetrahedral and hexahedral meshes for a domain with multiple materials. We have developed an octree-based isocontouring method to construct unstructured 3D meshes for a single material domain. Based on it, we analyze each material change edge instead of sign change edge to figure out interfaces between two materials, and mesh each mater...

We propose a novel approach to generate coarse tetrahedral meshes which can be used in interactive simulation frameworks. The proposed algorithm processes unconstrained, i. e. unorientable and nonmanifold triangle soups. Since the volume bounded by an unconstrained surface is not defined, we tetrahedralize the pseudo volume of the surface, namely the space that is intuitively occupied by the su...

We propose a new strategy for boundary conforming meshing that decouples the problem of building tetrahedra of proper size and shape from the problem of conforming to complex, non-manifold boundaries. This approach is motivated by the observation that while several methods exist for adaptive tetrahedral meshing, they typically have difficulty at geometric boundaries. The proposed strategy avoid...

We define quality differential coordinates (QDC) for per-vertex encoding of the quality of a tetrahedral mesh. QDC measures the deviation of a mesh vertex from a position which maximizes the combined quality of the set of tetrahedra incident at that vertex. Our formulation allows the incorporation of different choices of element quality metrics into QDC construction to penalize badly shaped and...

We derive the structural principles of polyhedral allotropes of phosphorus, introducing three distinct families of black phosphorus nanostructures. The predicted tetrahedral, octahedral, and icosahedral phosphorus cages can also be considered as phosphorus fullerenes. Phosphorus cages up to P(888) are systematically investigated by quantum chemical methods, and their thermodynamic stabilities a...

Tetrahedral intermediates in the reaction of elastase with specific di- and tripeptide p-nitroanilide substrates have been detected, accumulated, and stabilized at high pH by using subzero temperatures and fluid aqueous/organic cryosolvents. The tetrahedral adducts are characterized by spectra with lambda max of 359 +/- 2 nm, compared with thata of 380 nm for p-nitroaniline and 315-320 nm for t...

Crystallization and vitrification of tetrahedral liquids are important both from a fundamental and a technological point of view. Here, we study via extensive umbrella sampling Monte Carlo computer simulations the nucleation barriers for a simple model for tetrahedral patchy particles in the regime where open tetrahedral crystal structures (namely, cubic and hexagonal diamond and their stacking...

Low temperature absorption, circular dichroism, and magnetic circular dichroism spectral studies of the blue copper proteins Rhus vernicifera stellacyanin, bean plastocyanin, and Pseudomonas aeruginosa azurin have been made. Low energy bands attributable to the d-d transitions 2B2 leads to 2E and 2B2 leads to 2B1 in a flattened tetrahedral (D 2d) copper-(II) center are observed in these protein...