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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.
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 ...
A polygon mesh of a dolphin. In 3D computer graphics, polygonal modeling is an approach for modeling objects by representing or approximating their surfaces using polygon meshes. Polygonal modeling is well suited to scanline rendering and is therefore the method of choice for real-time computer graphics.
For an object with ten polygonal faces, one might see: element face 10 property list uchar int vertex_index PLY implementations vary wildly in the property names. vertex_indices is more often used than vertex_index, for example in Blender and VTK. The extended specification lists a "Core List (required)", "Second List (often used)" and "Third ...
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
This is a list of chemical elements and their atomic properties, ordered by atomic number (Z).. Since valence electrons are not clearly defined for the d-block and f-block elements, there not being a clear point at which further ionisation becomes unprofitable, a purely formal definition as number of electrons in the outermost shell has been used.
In 3D computer graphics, a wire-frame model (also spelled wireframe model) is a visual representation of a three-dimensional (3D) physical object. It is based on a polygon mesh or a volumetric mesh, created by specifying each edge of the physical object where two mathematically continuous smooth surfaces meet, or by connecting an object's constituent vertices using (straight) lines or curves.
C3D Solver makes connections between the elements of geometric models, and considers the geometric constraints of models being edited; 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 ...