We describe an algorithm which generates tetrahedral decomposition of a general solid body, whose surface is given as a collection of triangular facets. The principle idea is to modify the constraints in such a way as to make them appear in an unconstrained triangulation of the vertex set à priori. The vertex set positions are randomized to guarantee existence of a unique triangulation which sa...

Nowadays, with the advances of Finite Element Analysis (FEA) packages, some of the engineering and design problems such as stress or thermal deformation can be successfully solved. These are convenient for better incorporating the design constraints of various tasks such as injection molded parts, or rapid prototyping and tooling. Mesh generation is the major step of finite element method for n...

We present a new solution to the well-known problems of edge collapses in nonconvex tetrahedral meshes. Additionally, our method is able to handle meshes with topologically non-trivial boundaries and to control the modification of the topology of the mesh’s boundary.

Given a tetrahedral mesh immersed in a voxel model, we present a method to refine the mesh to reduce the discrepancy between interpolated values based on either scheme at arbitrary locations. An advantage of the method presented is that it requires few subdivisions and all decisions are made locally at each tetrahedron. We discuss the algorithm’s performance and applications.

The 2D digital waveguide mesh [7, 8] has proven to be e ective and e cient in the modeling of musical membranes and plates, particularly in combination with recent simpli cations in modeling sti ness [6], nonlinearities [5], and felt mallet excitations [5]. The rectilinear 3D extension to the mesh had been suggested [8], and has been applied to the case of room acoustics [2]. However, it requir...

Neutral tetrahedral [Cu4(Se2CNnPr2)4] (1), monocationic hydride-centered tetracapped tetrahedral [Cu8(H){Se2CNR2}6]+ (R = nPr, 2H; Et, 3H) and neutral hydride-centered tricapped tetrahedral [Cu7(H){Se2CNR2}6] (R = nPr, 4H; Et, 5H) clusters were formed. They are the first Cu(I) complexes supported by dialkyl diselenocarbamates. The as-synthesized complexes 2H and 3H, formed from a reaction mixtu...

the magnetisation and electron spin resonance (esr) spectrum of two specimens of tetrahedral amorphous carbon (ta-c), deposited from a filtered cathodic arc, were measured over a wide temperature range. the magnetisation was found to consist of superparamagnetic, paramagnetic and diamagnetic contributions. the superparamagnetic contribution resembled that recently found in carbon prepared from ...

The free energy of a 600-atom Lennard-Jones cluster is calculated as a function of surface and bulk crystallinity in order to study the structural transformations that occur in the core of medium sized clusters. Within the order parameter range studied, we find the existence of two free energy minima at temperatures near freezing. One minimum, at low values of both bulk and surface order, belon...

We describe an algorithm which generates tetrahedral decomposition of a general solid body, whose surface is given as a collection of triangular facets. The principal idea is to modify the constraints in such a way as to make them appear in an unconstrained triangulation of the vertex set a priori. The vertex set positions are randomized to guarantee existence of a unique triangulation which sa...

Local environments of ferric and ferrous irons were systematically studied with M€ ossbauer (at liquid helium temperature) and ultraviolet–visible–near infrared spectroscopic methods for various 18Na2O–72SiO2 glasses doped with 0.5 mol% Fe2O3. These were prepared at temperatures of 1300–1600 C in ambient air or at 1500 C under reducing conditions with oxygen partial pressures from 12.3 to 0:27 ...