In order to establish the design method of a noncircular face gear (NFG) with intersecting axes, meshing theory this is investigated based on principle space meshing. A generalized approach for designing closed pitch curve NFG axes was proposed Fourier series. The mathematical model generated by shaper cutter established. fundamental parameters gears were defined, determining their values discu...

In this paper we propose an extension to the work of Lischinski et al [1] on combining hierarchical radiosity method and discontinuity meshing. The extension proposed here supports higher order radiosity function at the es timation s tep itself. We have carried out this extension using M ultiWavelet basis function s. Unlike th e multi-wavelet radiosity work of Gortler et al [2] which uses reg u...

This paper describes a comprehensive and high-fidelity finite element meshing approach for patient-specific arterial geometries from medical imaging data, with emphasis on cerebral aneurysm configurations. The meshes contain both the blood volume and solid arterial wall, and are compatible at the fluid-solid interface. There are four main stages for this meshing method: 1) Image segmentation an...

A boundary layer mesh is a mesh with dense element distribution in the normal direction along specific boundaries. PostBL is a utility to generate boundary layer elements on an existing mesh model. PostBL supports creation of hexahedral, prism, quad, and tri boundary layer elements. It is formulated as an algorithm in MeshKit, which is an open-source library for mesh generation functionalities....

A new method for the automated generation of eecient meshings for the nite element method (FEM) is presented and applied to a general problem from the eld of computer graphics | radiosity. Radiosity designates a class of algorithms which calculate the global ow of light in a virtual three-dimensional environment. The representation of radiosity computed by using an FEM approach can be regarded ...

In this work we provide a template-based approach for generating locally refined all-hex meshes. We focus specifically on refinement of initially structured grids utilizing a 2-refinement approach where uniformly refined hexes are subdivided into eight child elements. The refinement algorithm consists of identifying marked nodes that are used as the basis for a set of four simple refinement tem...

This paper introduces a new neutral hybrid discrete (in the limit continuous) solid CAD model for meshing applications within the Integrated Computational Environments, based on subdivision surfaces. The model uses the Boundary Representation for the CAD model topology and the Butterfly Interpolating subdivision scheme for definition of underlying curves and surfaces. It is automatically derive...

A key step in the nite element method is to generate a high quality mesh that is as small as possible for an input domain. Several meshing methods and heuristics have been developed and implemented. Methods based on advancing front, Delaunay triangulations, and quadtrees/octrees are among the most popular ones. Advancing front uses simple data structures and is eecient. Unfortunately, in genera...

We present Laguerre Voronoi based subdivision algorithms for the quadrilateral and hexahedral meshing of particle systems within a bounded region in two and three dimensions, respectively. Particles are smooth functions over circular or spherical domains. The algorithm first breaks the bounded region containing the particles into Voronoi cells that are then subsequently decomposed into an initi...

Texture synthesis through so-called ‘smart copying’ requires a seamless meshing of texture subparts. Current systems first select subparts that seem to globally fit well and then optimise the cut between them on a rather local scale. This order of first selecting patches and then caring about the seamless meshing reduces one’s leeway in the choice of seamless cuts to a small zone of overlap bet...