A triangulation of a set of points P {\displaystyle {\mathcal {P}}} in the Euclidean space R d {\displaystyle \mathbb {R} ^{d}} is a simplicial complex...
12 KB (1,146 words) - 03:30, 25 November 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) - 19:16, 18 March 2025
simplicial complex that covers the entire space. A point-set triangulation, i.e., a triangulation of a discrete set of points P ⊂ R d {\displaystyle {\mathcal...
6 KB (826 words) - 08:31, 28 May 2024
geometry, polygon triangulation is the partition of a polygonal area (simple polygon) P into a set of triangles, i.e., finding a set of triangles with...
13 KB (1,386 words) - 18:20, 13 April 2025
algorithms such as triangulation, bundle adjustment, and more recently, monocular image depth estimation using deep learning. For 2D point set registration...
70 KB (9,086 words) - 19:11, 25 May 2025
Mesh generation Tessellation (computer graphics) Marching cubes Point set triangulation M. Schmidt: Cutting Cubes – visualizing implicit surfaces by adaptive...
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minimum weight triangulation has also sometimes been called the optimal triangulation. The problem of minimum weight triangulation of a point set was posed...
29 KB (3,289 words) - 12:57, 15 January 2024
Look up triangulation in Wiktionary, the free dictionary. Triangulation is the process of determining the location of a point by forming triangles to...
3 KB (409 words) - 01:34, 21 November 2022
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
systems. Special cases of PSLGs are triangulations (polygon triangulation, point-set triangulation). Point-set triangulations are maximal PSLGs in the sense...
4 KB (456 words) - 02:54, 1 February 2024
A triangulation station, also known as a trigonometrical point, and sometimes informally as a trig, is a fixed surveying station, used in geodetic surveying...
15 KB (1,740 words) - 05:20, 8 June 2025
geometry, a Pitteway triangulation is a point set triangulation in which the nearest neighbor of any point p within the triangulation is one of the vertices...
5 KB (553 words) - 21:35, 18 August 2023
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...
2 KB (104 words) - 19:18, 7 September 2019
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
Bowyer–Watson algorithm (category Triangulation (geometry))
Bowyer–Watson algorithm is a method for computing the Delaunay triangulation of a finite set of points in any number of dimensions. The algorithm can be...
5 KB (658 words) - 22:44, 25 November 2024
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
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
Science, pp 50–59 Fortune, Steven (1989). "Stable maintenance of point set triangulations in two dimensions" (PDF). 30th Annual Symposium on Foundations...
12 KB (1,738 words) - 04:24, 11 February 2025
Survey marker (redirect from Survey point)
markers were often set in groups. For example, in triangulation surveys, the primary point identified was called the triangulation station, or the "main...
10 KB (1,243 words) - 10:35, 27 May 2025
are many techniques for converting a point cloud to a 3D surface. Some approaches, like Delaunay triangulation, alpha shapes, and ball pivoting, build...
12 KB (1,283 words) - 12:32, 19 December 2024
Mesh generation (category Triangulation (geometry))
unstructured meshes. While a mesh may be a triangulation, the process of meshing is distinguished from point set triangulation in that meshing includes the freedom...
42 KB (5,322 words) - 08:21, 27 March 2025
equal to 90° Point-set triangulation — triangle mesh such that given set of point are all a vertex of a triangle Polygon triangulation — triangle mesh...
70 KB (8,327 words) - 09:12, 7 June 2025
Straight skeleton Stabbing line problem Triangulation Delaunay triangulation Point-set triangulation Polygon triangulation Voronoi diagram Minimum bounding box...
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The Meades Ranch Triangulation Station is a survey marker in Osborne County in the state of Kansas in the Midwestern United States. The marker was initially...
15 KB (1,486 words) - 23:10, 30 March 2025
The Principal Triangulation of Britain was the first high-precision triangulation survey of the whole of Great Britain and Ireland, carried out between...
23 KB (2,692 words) - 12:38, 23 May 2025
entire set of n + 1 available colors. Because f is continuous, this simplex can be made arbitrarily small by choosing an arbitrarily fine triangulation. Hence...
61 KB (8,516 words) - 14:55, 14 June 2025
Sperner's lemma (category Triangulation (geometry))
lemma is a combinatorial result on colorings of triangulations, analogous to the Brouwer fixed point theorem, which is equivalent to it. It states that...
30 KB (4,087 words) - 22:28, 28 August 2024
causal set. Monte-Carlo simulations have provided evidence for a continuum phase in 2D using the Benincasa–Dowker action. Causal dynamical triangulation (CDT)...
42 KB (5,420 words) - 16:39, 28 May 2025
Zero-point energy (ZPE) is the lowest possible energy that a quantum mechanical system may have. Unlike in classical mechanics, quantum systems constantly...
206 KB (26,528 words) - 19:35, 4 June 2025
^{n}} . The example set X is not integrally convex, and indeed ch(X) does not admit an integral triangulation: every triangulation of ch(X), either has...
4 KB (556 words) - 17:48, 10 January 2024