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In systems that support multi-sided faces, polygons and faces are equivalent. However, most rendering hardware supports only 3- or 4-sided faces, so polygons are represented as multiple faces. Mathematically a polygonal mesh may be considered an unstructured grid, or undirected graph, with additional properties of geometry, shape and topology.
C3D B-Shaper converts polygonal models to boundary representation (B-rep) bodies; [6] C3D Vision controls the quality of rendering for 3D models using mathematical apparatus and software, and the workstation hardware; C3D Converter reads and writes geometric models in a variety of standard exchange formats. [7]
A coarse mesh may provide an accurate solution if the solution is a constant, so the precision depends on the particular problem instance. One can selectively refine the mesh in areas where the solution gradients are high, thus increasing fidelity there. Accuracy, including interpolated values within an element, depends on the element type and ...
Creating polygon mesh models for rapid prototyping (to aid surgeons preparing for difficult surgeries, for example) Combining polygon mesh models with CAD solid modeling (design of hip replacement parts, for example) Computational analysis of complex biological processes, e.g. air flow, blood flow
Start with a mesh of an arbitrary polyhedron. All the vertices in this mesh shall be called original points. For each face, add a face point. Set each face point to be the average of all original points for the respective face Face points (blue spheres) For each edge, add an edge point.
The mesh is used for finite element analysis. [citation needed] The mesh of a surface is usually generated per individual faces and edges (approximated to polylines) so that original limit vertices are included into mesh. To ensure that approximation of the original surface suits the needs of further processing, three basic parameters are ...
UV texturing permits polygons that make up a 3D object to be painted with color (and other surface attributes) from an ordinary image. The image is called a UV texture map. [ 1 ] The UV mapping process involves assigning pixels in the image to surface mappings on the polygon, usually done by "programmatically" copying a triangular piece of the ...
Gouraud-shaded triangle mesh using the Phong reflection model. Gouraud shading (/ ɡ uː ˈ r oʊ / goo-ROH), named after Henri Gouraud, is an interpolation method used in computer graphics to produce continuous shading of surfaces represented by polygon meshes.