Creating a parametric surface having a required geometrical continuity Gi from a set of parametric elementary surfaces includes providing a set of parametric elementary surfaces, each elementary surface having edges, with vertices joining adjacent edges, each elementary surface having an internal continuity Cj at least equal to the required continuity Gi, the geometrical continuity between at least two elementary surfaces across their common edge being less than the required continuity Gi. For e...

Based on rectangular element data constituting a boundary surface that separates a rotating machine into a stator-side portion and a rotor-side portion, and polygonal or polyhedral element data constituting the stator-side portion and the rotor-side portion excluding the boundary surface, tetrahedral elements including nodes of each of the stator-side portion and the rotor-side portion are created, a node is created at an arbitrary distance from the gravity of the rectangular element in a normal...

An image processing apparatus able to decrease the number of minute unit graphics, able to achieve an improvement of performance of graphics drawing processing, and able to efficiently generate images, provided with a triangle generator for receiving vertex data from a geometry processor, selecting a plurality of vertexes other than predetermined end points from among 3.times.3 vertexes forming a mesh, judging whether each selected vertex is valid or invalid based on a distance between the selec...

A method of generating a computer readable model of a geometrical object constructed from a plurality of interconnectable construction elements, wherein each construction element has a number of connection elements for connecting the construction element with another construction element. The method comprises encoding a first and a second one of the construction elements as corresponding data structures, each representing the connection elements of the corresponding construction element, and eac...

A method for generating a three-dimensional terrain model while using object-oriented vector data that contain supporting points, which describe the terrain, of position values indicating at least the cartographic position, and of elevation values that indicate their height or depth with regard to a reference level. The aim of the invention is to obtain a stable method that automatically ensues without human interaction. To this end, the elevation values of the supporting points are extrapolated...

An original mesh is provided with a bounding surface and a convex hull surface. A first tessellation links the convex hull to the original mesh, and a second tessellation links the bounding surface to the convex hull. Using the tessellations to find a first intersection between a ray and the original mesh by finding a first intersected polygon of the bounding surface, and then traversing adjacent intersected polygons starting from the first intersection until the intersection is found. When the ...

The present invention relates to a processing of a 3D shape which is constructed as polyhedron, a curved surface body, a freely forming shape, and a general complex shape body including a compound shape body; by using mainly a basic triangle shape FACET. In this case, a compound and/or complex shape body is constructed by means of direct embedding a curved surface structure in a polyhedron structure as a maternal body. And moreover, this invention relates to a technology of a shape processing fo...

Computer graphics systems, devices and methods adapted to enable display and/or storage of human-perceptible images on a display, device include an arrangement for generating a coarse level mesh representing a surface, from a finer level mesh surface representation. The arrangement includes an indicator value generator and a coarse level mesh generator. The indicator value generator, for respective ones of the points in the finer level mesh surface representation, evaluates an indicator function...

A method of fairing a non-manifold model as disclosed which includes smoothing the model by applying a fairing operator to a set of features such that noise is removed after determining the features of the model.

The present invention includes computer instructions that receive a first selection of a first face on a first geometry piece, and receive a second selection of a second face on a second geometry piece. Once the first and second selections are received, the instructions determine if the selected first face and the selected second intersect at an intersection. If an intersection is determined, the instructions automatically generate a bend at the intersection to join the first and second geometry...