Abstract: A computer-implemented method of generating a volume mesh between two proximate, disjoint, and opposing mesh surfaces of a three-dimensional object in a modelling system is described. In the method, a projected volume is determined, wherein a mesh volume having a first topology is generated when the volume reaches the opposing mesh surfaces within a distance determined by the local mesh size. A second volume mesh with a different topology is generated when the projected volume does not reach the opposing mesh surface.

Abstract: A computer-implemented method of generating a thin volume mesh in a Computer-Aided technology (CAx) model of an object is described. In the method, a volume region lying between a first surface mesh having a first set of mesh parameters and a second surface mesh having a second set of mesh parameters is selected. This volume region has a thickness corresponding to the distance between the first and second surface mesh. prismatic cell volume mesh is generated to fill the entire volume region when the volume region is thin. Whether or not the volume region is thin is given by a crisp value calculated using a fuzzy logic inference scheme including the fuzzy sets thin and non-thin, and wherein the relationship between the first and second sets of mesh parameters and the thickness determine the membership of the fuzzy sets thin and non-thin.

Abstract: A computer-implemented method of optimizing vertex chains in a stack of disjoint mesh surfaces in a three-dimensional object in a modelling system is described. A vertex chain includes nearest-neighbor mesh vertices in adjacent surface meshes in the stack terminated by first and second endpoints. The modelling system is configured to render an image of the object including the meshed surfaces to a user. In the method, a stack of disjoint surface meshes describing a thin volume of an object is retrieved, the stack containing at least one vertex chain. Further, the alignment between the mesh vertices is constrained by an optimal Bézier curve.

Abstract: A fluid storage device for lowering the center of gravity of the gas can, to inhibit the gas can from tipping, includes a container having a base wall, a top wall and a peripheral wall that define an interior space. The container holds a fluid in the interior space. The base wall is generally planar wherein the base wall is configured to stabilize a position of the container on a surface. The base wall has a length and a width each exceeding a height of the peripheral wall wherein the base wall is designed to inhibit the container from tipping over when the container is positioned on the surface. A spout coupled to the container is fluidly coupled to the interior space wherein the spout is designed to facilitate the fluid in being removed from and added to the interior space.

Abstract: A computer implemented method of remeshing patches in a triangular meshed surface that employs an advancing front process is disclosed. An initial surface includes a triangular surface mesh, and a target size field that specifies an optimal triangle edge length at each position on the triangular surface mesh is defined over every point in. The triangular surface mesh is partitioned into patches, where each patch includes a contiguous set of adjacent faces delimited by closed loops of boundary or feature edges and has principal surface curvatures. The method employs an asterisk field generated from a cross field calculated for the patch in order to generate a remeshed surface.

Abstract: A computer implemented method of remeshing patches in a triangular meshed surface that employs an advancing front process is disclosed. An initial surface includes a triangular surface mesh, and a target size field that specifies an optimal triangle edge length at each position on the triangular surface mesh is defined over every point in. The triangular surface mesh is partitioned into patches, where each patch includes a contiguous set of adjacent faces delimited by closed loops of boundary or feature edges and has principal surface curvatures. The method employs an asterisk field generated from a cross field calculated for the patch in order to generate a remeshed surface.