Abstract: A method for generating a mesh for a lattice structure in a three-dimensional model is provided. A first mesh incarnation method is applied to a first lattice to generate a first mesh. A second lattice is extracted from the first lattice, including bodies of the first lattice in the region where the first mesh incarnation method fails to generate mesh facets. Polylines on the first mesh of the first lattice where an offset of the second lattice intersects with the first mesh are identified. A third lattice is generated based on the polylines. A second mesh incarnation method is applied to generate a first mesh of the third lattice. The first mesh of the first lattice and the first mesh of the third lattice are trimmed and combined to generate a second mesh with mesh facets in the region where the first mesh incarnation method fails to generate facets.

Abstract: A computer-implemented method of extending a mixed sheet within a B-rep model is described. The mixed sheet includes surfaces having different geometries, such as a mesh positioned between first and second classical geometry surfaces. A first guide curve is defined, located at the boundary of a first surface for a length corresponding to the desired mixed sheet extension adjacent the first surface. A second guide curve may also be defined, located at the boundary of a second surface for a length corresponding to the desired mixed sheet extension adjacent the second surface. At least one extension mesh rung is created by generating facets between the two external mesh vertices using first and second extension vectors, wherein the first extension vector has a pre-determined spatial relationship to the first guide curve. If included, the second extension vector has a pre-determined spatial relationship to the second guide curve.

Abstract: A computer-implemented method is provided for rendering, to a designer, a two-dimensional image of an assembly of part instances in a three-dimensional assembly space within a computer-aided design (CAD) system utilizing double precision to describe part assemblies. Such assemblies are considered to be distant from a nominal observer. A viewport on a two-dimensional image plane is defined, and a combined transform is defined in quadruple precision to enable the generation of clipping lines and/or clipping points. The clipping lines and clipping points clipping the faces and edges of the part instance in the assembly to the portion of the assembly that lies within the viewport.

Abstract: A computer-implemented method of extending a mixed sheet within a B-rep model is described. The mixed sheet includes surfaces having different geometries, such as a mesh positioned between first and second classical geometry surfaces. A first guide curve is defined, located at the boundary of a first surface for a length corresponding to the desired mixed sheet extension adjacent the first surface. A second guide curve may also be defined, located at the boundary of a second surface for a length corresponding to the desired mixed sheet extension adjacent the second surface. At least one extension mesh rung is created by generating facets between the two external mesh vertices using first and second extension vectors, wherein the first extension vector has a pre-determined spatial relationship to the first guide curve. If included, the second extension vector has a pre-determined spatial relationship to the second guide curve.