conformal map

In mathematics, a transformation of one graph into another in such a way that the angle of intersection of any two lines or curves remains unchanged.The most common example is the Mercator map, a twodimensional representation of the surface of the earth that preserves compass directions. Other conformal maps, sometimes called orthomorphic projections, preserve angles but not shapes.
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Conformal map — For other uses, see Conformal (disambiguation). A rectangular grid (top) and its image under a conformal map f (bottom). It is seen that f maps pairs of lines intersecting at 90° to pairs of curves still intersecting at 90°. In mathematics, a… … Wikipedia
conformal projection/conformal map projection — A map projection on which the shape of any small area of the surface mapped is preserved unchanged, and all angles around any point are correctly represented. The scale, however, varies with the distance from that point. Also called an… … Aviation dictionary
Least squares conformal map — A Least squares conformal map is a 2 D representation of a 3 D shape created using the Least Squares Conformal Mapping Method. By using the map as a guide when creating a new 2 D image, the colors of the 2 D image can be automatically placed on… … Wikipedia
modified Lambert conformal map projection — A modification of the Lambert conformal projection for use in polar regions. One of the standard parallels is at latitude 89°59’58” and the other latitude is at 71° or 74°. The parallels are expanded slightly to form complete concentric circles.… … Aviation dictionary
Map — /map/, n. Walter, c1140 1209?, Welsh ecclesiastic, poet, and satirist. Also, Mapes /mayps, may peez/. * * * I Graphic representation, drawn to scale and usually on a flat surface, of features usually geographic, geologic, or geopolitical of an… … Universalium
Conformal — may refer to: Conformal map, in mathematics Conformal geometry, in mathematics Conformal map projection, in cartography Conformal film on a surface Conformal coating in electronics Conformal hypergraph, in mathematics Conformal field theory in… … Wikipedia
Map projection — A medieval depiction of the Ecumene (1482, Johannes Schnitzer, engraver), constructed after the coordinates in Ptolemy s Geography and using his second map projection A map projection is any method of representing the surface of a sphere or other … Wikipedia
Conformal radius — In mathematics, the conformal radius is a way to measure the size of a simply connected planar domain D viewed from a point z in it. As opposed to notions using Euclidean distance (say, the radius of the largest inscribed disk with center z),… … Wikipedia
Conformal pictures — Here are examples of conformal maps understood as deforming pictures. This technique is a generalization of domain coloring where the domain space is not colored by a fixed infinite color wheel but by a finite picture tiling the plane. A… … Wikipedia
map — mappable, adj. mapper, n. /map/, n., v., mapped, mapping. n. 1. a representation, usually on a flat surface, as of the features of an area of the earth or a portion of the heavens, showing them in their respective forms, sizes, and relationships… … Universalium