Ad
related to: simple polygon triangulation patternkutasoftware.com has been visited by 10K+ users in the past month
Search results
Results from the WOW.Com Content Network
Polygon triangulation. In computational geometry, polygon triangulation is the partition of a polygonal area (simple polygon) P into a set of triangles, [1] i.e., finding a set of triangles with pairwise non-intersecting interiors whose union is P. Triangulations may be viewed as special cases of planar straight-line graphs.
Voronoi cells are also known as Thiessen polygons, after Alfred H. Thiessen. [ 1 ] [ 2 ] [ 3 ] Voronoi diagrams have practical and theoretical applications in many fields, mainly in science and technology , but also in visual art .
If a simple polygon is triangulated, then a triple of consecutive vertices ,, forms an ear if is a convex vertex and none of its other neighbors in the triangulation lie in triangle . By testing all neighbors of all vertices, it is possible to find all the ears of a triangulated simple polygon in linear time . [ 4 ]
Polygon triangulations may be found in linear time and form the basis of several important geometric algorithms, including a simple approximate solution to the art gallery problem. The constrained Delaunay triangulation is an adaptation of the Delaunay triangulation from point sets to polygons or, more generally, to planar straight-line graphs.
Polygon decomposition is applied in several areas: [1] Pattern recognition techniques extract information from an object in order to describe, identify or classify it. An established strategy for recognising a general polygonal object is to decompose it into simpler components, then identify the components and their interrelationships and use this information to determine the shape of the object.
In trigonometry and geometry, triangulation is the process of determining the location of a point by forming triangles to the point from known points. Applications
A triangulation of the square that respects the gluings, like that shown below, also defines a triangulation of the torus. A two dimensional torus, represented as the gluing of a square via the map g, identifying its opposite sites; The projective plane admits a triangulation (see CW-complexes)
Triangulation in a simple polygon. Triangulation means the partition of any planar object into a collection of triangles. For example, in polygon triangulation, a polygon is subdivided into multiple triangles that are attached edge-to-edge, with the property that their vertices coincide with the set of vertices of the polygon. [52]
Ad
related to: simple polygon triangulation patternkutasoftware.com has been visited by 10K+ users in the past month