orientation. Conformal maps preserve both angles and the shapes of infinitesimally small figures, but not necessarily their size or curvature. The conformal property...
22 KB (2,511 words) - 19:47, 30 May 2024
is a conformal map in the mathematical sense. For example, if two roads cross each other at a 39° angle, their images on a map with a conformal projection...
11 KB (1,211 words) - 00:36, 1 September 2024
Fuller projection Dymaxion-like conformal projection Comparison of the Fuller projection and Strebe's Dymaxion-like conformal projection with Tissot's indicatrices...
13 KB (1,367 words) - 06:28, 2 November 2024
needed] The most well-known map projection is the Mercator projection.: 45 This map projection has the property of being conformal. However, it has been criticized...
59 KB (6,478 words) - 00:47, 19 September 2024
A Lambert conformal conic projection (LCC) is a conic map projection used for aeronautical charts, portions of the State Plane Coordinate System, and...
10 KB (1,196 words) - 19:06, 12 October 2024
A Least squares conformal map (LSCM) is a 2-D representation of a 3-D shape created using the Least Squares Conformal Mapping Method.[circular definition]...
912 bytes (114 words) - 16:20, 12 August 2023
Look up conformal in Wiktionary, the free dictionary. Conformal may refer to: Conformal (software), in ASIC Software Conformal coating in electronics Conformal...
717 bytes (115 words) - 16:24, 24 May 2024
Complex analysis (redirect from Complex map)
orientation. Conformal maps preserve both angles and the shapes of infinitesimally small figures, but not necessarily their size or curvature. The conformal property...
18 KB (2,522 words) - 01:18, 23 October 2024
transformations that preserve the conformal geometry of the space. Several specific conformal groups are particularly important: The conformal orthogonal group. If...
13 KB (1,935 words) - 02:22, 28 September 2024
also known as the planisphere projection or the azimuthal conformal projection, is a conformal map projection whose use dates back to antiquity. Like the...
6 KB (721 words) - 21:47, 22 September 2024
mathematical physics, the conformal symmetry of spacetime is expressed by an extension of the Poincaré group, known as the conformal group; in layman's terms...
9 KB (1,088 words) - 20:20, 26 August 2024
UV mapping (redirect from UV map)
{\arcsin(d_{y})}{\pi }}.} Cartographic projection Geodesic Least squares conformal map Mesh parameterization NURBS Polygon mesh Radon transformation Lightmap...
5 KB (678 words) - 11:04, 18 January 2024
Riemann mapping theorem (redirect from Riemann's theorem on conformal mappings)
{\displaystyle f} is biholomorphic implies that it is a conformal map and therefore angle-preserving. Such a map may be interpreted as preserving the shape of any...
44 KB (7,469 words) - 17:28, 2 October 2024
conformal geometry is the study of the set of angle-preserving (conformal) transformations on a space. In a real two dimensional space, conformal geometry...
21 KB (3,351 words) - 09:08, 12 December 2023
The Lee conformal world in a tetrahedron is a polyhedral, conformal map projection that projects the globe onto a tetrahedron using Dixon elliptic functions...
3 KB (281 words) - 03:06, 5 August 2024
Holomorphic function (redirect from Holomorphic map)
regions where the first derivative is not zero, holomorphic functions are conformal: they preserve angles and the shape (but not size) of small figures. Every...
24 KB (3,339 words) - 10:35, 11 November 2024
Mercator projection (redirect from Mercator map projection)
The Mercator projection (/mərˈkeɪtər/) is a conformal cylindrical map projection first presented by Flemish geographer and mapmaker Gerardus Mercator...
49 KB (6,748 words) - 08:45, 4 November 2024
Geometric function theory (section Conformal maps)
are some of the most important topics in geometric function theory: A conformal map is a function which preserves angles locally. In the most common case...
13 KB (1,787 words) - 15:31, 22 January 2024
{\displaystyle f'(z)\neq 0} for all z ∈ U {\displaystyle z\in U} is a conformal map, which means that if two curves passing through a point a {\displaystyle...
28 KB (4,664 words) - 06:35, 6 July 2024
intersecting at point P. A conformal map has an isotropic scale factor. Conversely isotropic scale factors across the map imply a conformal projection. Isotropy...
35 KB (5,382 words) - 07:35, 22 June 2024
has the ability to control the growth of the GSOM. The conformal map approach uses conformal mapping to interpolate each training sample between grid...
33 KB (3,845 words) - 20:22, 19 September 2024
sphere, using particular projection to map each face with low distortion. Conformal Preserves angles locally, implying that local shapes are not distorted...
31 KB (780 words) - 01:12, 11 October 2024
transformation may refer to: Bilinear map or bilinear operator Bilinear transform (signal processing), a type of conformal map used to switch between continuous-time...
431 bytes (79 words) - 20:23, 24 June 2020
Analytic function (redirect from Analytic Map)
Laurent series Isolated singularity Residue theorem Argument principle Conformal map Schwarz lemma Harmonic function Laplace's equation Geometric function...
15 KB (2,178 words) - 19:48, 25 October 2024
unique conformal map f : D → D onto the unit disk (usually referred to as the uniformizing map) with f(z) = 0 ∈ D and f′(z) ∈ R+. The conformal radius...
9 KB (1,447 words) - 12:51, 30 August 2024
Peirce quincuncial projection (redirect from Quincuncial map)
The Peirce quincuncial projection is the conformal map projection from the sphere to an unfolded square dihedron, developed by Charles Sanders Peirce...
13 KB (1,511 words) - 20:20, 2 September 2024
Biholomorphism (redirect from Biholomorphic map)
conformal map as one with nonzero derivative, but without requiring that the map be injective. According to this weaker definition, a conformal map need...
4 KB (557 words) - 04:57, 13 September 2023
Schwarz–Christoffel mapping (redirect from Schwarz-Christoffel map)
Schwarz–Christoffel mapping is a conformal map of the upper half-plane or the complex unit disk onto the interior of a simple polygon. Such a map is guaranteed to exist...
8 KB (913 words) - 13:06, 26 December 2023
conditions) the integral powers of the moduli of the derivatives of conformal maps into the open unit disk. The conjecture was formulated by James E. Brennan...
2 KB (272 words) - 09:32, 29 January 2022
Quasiconformal mapping (redirect from Quasi-conformal mapping)
and medical imaging. Computational quasi-conformal geometry has been developed, which extends the quasi-conformal theory into a discrete setting. It has...
11 KB (1,323 words) - 17:40, 25 July 2024