In computational geometry, polygon triangulation is the partition of a polygonal area (simple polygon) P into a set of triangles, i.e., finding a set of...

convex hull of a simple polygon, triangulation, and Euclidean shortest paths. Other constructions in geometry related to simple polygons include Schwarz–Christoffel...

triangles of the triangulation into three-dimensional surfaces, which form an approximation of a three-dimensional landform. A polygon triangulation is a subdivision...

Constructible polygon Cyclic polygon Geometric shape Golygon List of polygons Polyform Polygon soup Polygon triangulation Precision polygon Spirolateral...

well-studied polygon partition problem is partitioning to a smallest number of triangles, also called triangulation. For a hole-free polygon with n {\displaystyle...

minimum-weight triangulation problem is the problem of finding a triangulation of minimal total edge length. That is, an input polygon or the convex hull...

into monotone polygons in O(n log n) time. However, since a triangle is a monotone polygon, polygon triangulation is in fact cutting a polygon into monotone...

The Greedy Triangulation is a method to compute a polygon triangulation or a Point set triangulation using a greedy schema, which adds edges one by one...

shortest path. Polygon triangulation: Given a polygon, partition its interior into triangles Mesh generation Boolean operations on polygons The computational...

vertices Polygon triangulation, division of a polygon into triangles Surface triangulation, division of a surface into triangles Triangulation (computer...

existence of polygon triangulations. It is frequently attributed to Gary H. Meisters, but was proved earlier by Max Dehn. A simple polygon is a simple...

In geometry, a covering of a polygon is a set of primitive units (e.g. squares) whose union equals the polygon. A polygon covering problem is a problem...

needed] Triangulation means the partition of any planar object into a collection of triangles. For example, in polygon triangulation, a polygon is subdivided...

of points. Mesh generation Polygon triangulation De Loera, Jesús A.; Rambau, Jörg; Santos, Francisco (2010). Triangulations, Structures for Algorithms...

a polygon with triangles Trig point Wireless triangulation "מה בתמונה? (תשובה: נקודת טריאנגולציה)" [what is in the picture? (Answer: Triangulation Point)]...

a fan triangulation is a simple way to triangulate a polygon by choosing a vertex and drawing edges to all of the other vertices of the polygon. Not every...

its proof of optimality. However, it relies on the linear time polygon triangulation algorithm by Chazelle, which is extremely complex. For a point among...

picture). Polygonizing a surface means to generate a polygon mesh. The triangulation of a surface should not be confused with the triangulation of a discrete...

contains polygonal faces with four or more sides. The various triangulations of these faces complete the various possible Delaunay triangulations. Edges...

Parallel postulate Polygon Star polygon Pick's theorem Shape dissection Bolyai–Gerwien theorem Poncelet–Steiner theorem Polygon triangulation Pons asinorum...

structures include the orthogonal convex hull, convex layers, Delaunay triangulation and Voronoi diagram, and convex skull. A set of points in a Euclidean...

The Voronoi diagram of a set of points is dual to that set's Delaunay triangulation. The Voronoi diagram is named after mathematician Georgy Voronoy, and...

technique known as tessellation is used, where polygons are divided. In particular, polygon triangulation is used, where data is tessellated into triangles...

non-zero rule by default when drawing polygons. Even-odd rule Complex polygon Tessellation Polygon triangulation TrueType James D. Foley, Andries Van Dam...

Straight skeleton Stabbing line problem Triangulation Delaunay triangulation Point-set triangulation Polygon triangulation Voronoi diagram Minimum bounding box...

two convex polygons is a convex polygon. A convex polygon may be triangulated in linear time through a fan triangulation, consisting in adding diagonals...

follows: First, the polygon is triangulated (without adding extra vertices), which is possible, because the existence of triangulations is proven under certain...

systems. Special cases of PSLGs are triangulations (polygon triangulation, point-set triangulation). Point-set triangulations are maximal PSLGs in the sense...

constrained Delaunay triangulation is a generalization of the Delaunay triangulation that forces certain required segments into the triangulation as edges, unlike...

Kreveld; Mark Overmars; Otfried Schwarzkopf (2000). "Chapter 3: Polygon Triangulation". Computational Geometry (2nd revised ed.). Springer-Verlag. pp...