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The Weiler–Atherton is a polygon-clipping algorithm. It is used in areas like computer graphics and games development where clipping of polygons is needed. It allows clipping of a subject or candidate polygon by an arbitrarily shaped clipping polygon/area/region. It is generally applicable only in 2D.
An imposter model maps all geometric details as textures and can be used if a model will be viewed from a distance and a certain direction. Occlusion mesh. An occlusion mesh process generates a silhouette based geometry that removes internal features and concavities.
Polygon Cruncher software is running on Windows operating system.It is available as a plugin for: . Autodesk 3ds Max; Autodesk Maya; Newtek Lightwave; 3DBrowser. In the 3D Photo Browser, Polygon Cruncher is able to simplify various 3D formats such as Maya, Wavefront, TrueSpace, SketchUp, XSI, COLLADA, DXF, etc.
That is, if MWT(i,j) denotes the weight of the minimum-weight triangulation of the polygon below edge ij, then the overall algorithm performs the following steps: For each possible value of i, from n − 1 down to 1, do: For each possible value of j, from i + 1 to n, do: If ij is an edge of the polygon, set MWT(i,j) = length(ij)
Note that if the subject polygon was concave at vertices outside the clipping polygon, the new polygon may have coincident (i.e., overlapping) edges – this is acceptable for rendering, but not for other applications such as computing shadows. All steps for clipping concave polygon 'W' with a 5-sided convex polygon
3-dimensional matchings. (a) Input T. (b)–(c) Solutions. In the mathematical discipline of graph theory, a 3-dimensional matching is a generalization of bipartite matching (also known as 2-dimensional matching) to 3-partite hypergraphs, which consist of hyperedges each of which contains 3 vertices (instead of edges containing 2 vertices in a usual graph).
In scanline conversion, each polygon must be converted and displayed, regardless of size, and there are frequently a large number of models on the screen at any given time. Often, programmers must use multiple models at varying levels of detail to represent the same object in order to cut down on the number of polygons being rendered.
Polygon Mesh Processing by Mario Botsch et al. is a textbook on the topic of Geometry Processing. [1]Geometry processing is an area of research that uses concepts from applied mathematics, computer science and engineering to design efficient algorithms for the acquisition, reconstruction, analysis, manipulation, simulation and transmission of complex 3D models.