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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.
The positions of the new vertices in the mesh are computed based on the positions of nearby old vertices, edges, and/or faces. In many refinement schemes, the positions of old vertices are also altered (possibly based on the positions of new vertices). This process produces a denser mesh than the original one, containing more polygonal faces ...
The basic object used in mesh modeling is a vertex, a point in three-dimensional space.Two vertices connected by a straight line become an edge.Three vertices, connected to each other by three edges, define a triangle, which is the simplest polygon in Euclidean space.
Face-vertex meshes represent an object as a set of faces and a set of vertices. This is the most widely used mesh representation, being the input typically accepted by modern graphics hardware. Face-vertex meshes improve on VV mesh for modeling in that they allow explicit lookup of the vertices of a face, and the faces surrounding a vertex. The ...
Mesh generation is the practice of creating a mesh, a subdivision of a continuous geometric space into discrete geometric and topological cells. Often these cells form a simplicial complex. Usually the cells partition the geometric input domain. Mesh cells are used as discrete local approximations of the larger domain.
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 ...
The file starts with the header which defines a file in ASCII format. There are 14 vertices (6 faces * 4 vertices - 10 vertices saved due to merging) and 6 faces in total. After the header, the vertex and face data is listed. The vertex list contains position (x,y,z), normals (nx,ny,nz) and texture coordinates (s,t) for each of the 14 vertices.
where V is the number of vertices, E is the number of edges, and F is the number of faces. This equation is known as Euler's polyhedron formula. Thus the number of faces is 2 more than the excess of the number of edges over the number of vertices. For example, a cube has 12 edges and 8 vertices, and hence 6 faces.