In geometry, a triangulation is a subdivision of a planar object into triangles, and by extension the subdivision of a higher-dimension geometric object...
6 KB (826 words) - 08:31, 28 May 2024
In computational geometry, a Delaunay triangulation or Delone triangulation of a set of points in the plane subdivides their convex hull into triangles...
29 KB (3,255 words) - 08:43, 18 June 2025
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...
13 KB (1,386 words) - 18:20, 13 April 2025
time algorithm for the MinMax angle triangulation. Proceedings of the sixth annual symposium on Computational geometry. SCG '90. ACM. pp. 44–52. CiteSeerX 10...
12 KB (1,146 words) - 03:30, 25 November 2024
In trigonometry and geometry, triangulation is the process of determining the location of a point by forming triangles to the point from known points...
6 KB (672 words) - 00:40, 31 January 2025
In mathematics, triangulation describes the replacement of topological spaces with simplicial complexes by the choice of an appropriate homeomorphism...
33 KB (5,150 words) - 17:34, 13 June 2025
In computational geometry, a constrained Delaunay triangulation is a generalization of the Delaunay triangulation that forces certain required segments...
4 KB (545 words) - 16:39, 18 October 2024
Delaunay refinement (category Triangulation (geometry))
points to the geometry of an input to be meshed, in a way that causes the Delaunay triangulation or constrained Delaunay triangulation of the augmented...
10 KB (1,056 words) - 19:21, 10 September 2024
Delaunay triangulations Marching triangles: reconstruct two-dimensional surface geometry from an unstructured point cloud Polygon triangulation algorithms:...
15 KB (2,106 words) - 15:15, 19 May 2025
In computational geometry and computer science, the minimum-weight triangulation problem is the problem of finding a triangulation of minimal total edge...
29 KB (3,289 words) - 12:57, 15 January 2024
Pseudotriangle (redirect from Pseudo-triangulation)
any three mutually tangent convex sets. A pseudotriangulation (pseudo-triangulations) is a partition of a region of the plane into pseudotriangles, and a...
20 KB (2,058 words) - 10:03, 14 March 2025
Bowyer–Watson algorithm (category Triangulation (geometry))
In computational geometry, the Bowyer–Watson algorithm is a method for computing the Delaunay triangulation of a finite set of points in any number of...
5 KB (658 words) - 22:44, 25 November 2024
In computational geometry, a fan triangulation is a simple way to triangulate a polygon by choosing a vertex and drawing edges to all of the other vertices...
3 KB (303 words) - 02:45, 9 June 2022
Mesh generation (category Triangulation (geometry))
University of Bern David Eppstein's Geometry in Action, Mesh Generation Jonathan Shewchuk's Meshing and Triangulation in Graphics, Engineering, and Modeling...
42 KB (5,322 words) - 08:21, 27 March 2025
Simplicial complex (category Triangulation (geometry))
one of its vertices. Pure simplicial complexes can be thought of as triangulations and provide a definition of polytopes. A facet is a maximal simplex...
14 KB (1,992 words) - 00:21, 18 May 2025
Flip distance (category Triangulation (geometry))
flip distance between two triangulations of the same point set is the number of flips required to transform one triangulation into another. A flip removes...
14 KB (1,411 words) - 18:39, 12 June 2025
Triangle (redirect from Triangle (geometry))
polygon with three corners and three sides, one of the basic shapes in geometry. The corners, also called vertices, are zero-dimensional points while the...
55 KB (6,518 words) - 09:58, 5 June 2025
Triangulated irregular network (category Triangulation (geometry))
on a Delaunay triangulation or constrained Delaunay. Delaunay conforming triangulations are recommended over constrained triangulations. This is because...
5 KB (620 words) - 22:45, 20 March 2024
A kinetic triangulation data structure is a kinetic data structure that maintains a triangulation of a set of moving points. Maintaining a kinetic triangulation...
5 KB (584 words) - 07:08, 24 August 2023
In computer vision, triangulation refers to the process of determining a point in 3D space given its projections onto two, or more, images. In order to...
15 KB (2,384 words) - 20:53, 19 August 2024
Sperner's lemma (category Triangulation (geometry))
mathematics, Sperner's lemma is a combinatorial result on colorings of triangulations, analogous to the Brouwer fixed point theorem, which is equivalent to...
30 KB (4,087 words) - 22:28, 28 August 2024
In surveying, triangulation is the process of determining the location of a point by measuring only angles to it from known points at either end of a...
12 KB (1,606 words) - 00:32, 29 February 2024
Barycentric subdivision (category Triangulation (geometry))
useful to replace the original spaces with simplicial complexes via triangulations: This substitution allows one to assign combinatorial invariants such...
16 KB (2,533 words) - 23:06, 7 May 2025
This division is not a triangulation in the geometric sense. It is a topological triangulation, however. A quasi-triangulation may have some of the characteristics...
1 KB (87 words) - 20:00, 13 August 2017
called a triangulation of G Triangulated graph, and a chordal completion of a graph G may be called a triangulation of G Triangulation (geometry), division...
3 KB (409 words) - 01:34, 21 November 2022
Rotation distance (category Triangulation (geometry))
between binary trees and triangulations of convex polygons, rotation distance is equivalent to the flip distance for triangulations of convex polygons. Rotation...
16 KB (2,169 words) - 23:08, 6 May 2025
Jump-and-Walk algorithm (category Triangulation (geometry))
analysis on 3D random Delaunay triangulation was done by Mucke, Saias and Zhu (ACM Symposium of Computational Geometry, 1996). In both cases, a boundary...
4 KB (441 words) - 02:08, 12 May 2025
Absolute geometry Affine geometry Algebraic geometry Analytic geometry Birational geometry Complex geometry Computational geometry Conformal geometry Constructive...
13 KB (914 words) - 10:26, 25 December 2024
Triangle mesh (category Triangulation (geometry))
rational B-spline Point cloud Polygon mesh Triangulation (topology) Triangulation (geometry) Delaunay triangulation Triangulated irregular network v t e...
8 KB (1,129 words) - 09:49, 1 June 2025
the coordinates of the two image points, a process called triangulation. The epipolar geometry is simplified if the two camera image planes coincide. In...
10 KB (1,152 words) - 19:24, 16 April 2025