conformal projection
See Also: projection
[map projections] A projection that preserves the correct shapes of small areas.
Conformal mappings are invaluable for solving problems in engineering and physics that can be expressed in terms of functions of a complex variable but that exhibit inconvenient geometries.
Conformal Projection
A map projection which is a conformal mapping, i.e., one for which local (infinitesimal) angles on a sphere are mapped to the same angles in the projection.
Conformal Projections
Introduction
A map projection faithfully reproducing all features of the original sphere would be perfectly equidistant; i.e., distances between every two points would keep the same ratio on both map and sphere.
The Lambert conformal conic projection is a map projection in which all meridians are represented by straight lines radiating from a common point outside the mapped area (for example, a point on the polar axis) and the parallels are represented ...
Conformal Projection
Projection which preserves the original shape of the area of interest but not the area or distance.
Convergence of Information
The principle of using multiple indicators to deduce information.
Conformal
correctly shows the shape of features (A map can not be both equal-area or conformal - it can only be one; or the other; or neither.)
Equidistant
correctly shows the distance between two features ...
Conformality Small areas on a map are represented in their true shape and angles are preserved, a characteristic of some map projections.
Conformal Projection: A projection wherein the scale is the same in every direction at any point. Meridians and parallels intersect at right angles; the shape of small areas and angles with very short sides are preserved.
Conformal maps
A conformal map is one that preserves angles. A conformal map also shows the true shapes (at least locally) of regions on the earth's surface.
Conformality
When the scale of a map at any point on the map is the same in any direction, the projection is conformal. Meridians (lines of longitude) and parallels (lines of latitude) intersect at right angles.
Conformal. Scale is tue only where the central parallel and meridian cross like the Gnomonic or along a circle concentric around the center of the projection. All great and small circles as shown as circular arcs or straight lines.
Conformal (Orthomorphic)
Reference: Mercator projection (Strahler and Strahler 1987, p. 15)
a projection is conformal if the angles in the original features are preserved ...
Conformal - A map projection property that preserves local shape of features on maps.
Conic projections - A class of map projection involving the projection of part of the globe onto a cone-shape surface.
conformal
continents/ oceans, equatorial/ mid-latitude, north-south extent, large and medium scale
topographic large scale map series, N.T.S. and USGS maps
Lambert conformal conic
conic ...
A conformal projection primarily preserves shape, an equidistant projection primarily preserves distance, and an equal-area projection primarily preserves area.
These images show the earth using several different projections: ...
A conformal map projection represents angles and shapes correctly at infinitely small locations. Shapes and angles are only slightly distorted, as the region becomes larger. At any point the scale is the same in every direction.
Three conformal projections were chosen: the Lambert Conformal Conic for states that are longer in the east-west direction, such as Washington, Tennessee, and Kentucky, ...
Lambert Conformal Conic - A conic, confromal projection typically intersecting parallels of latitude, standard parallels, in the northern hemisphere.
Conformal A map projection that preserves the quality of shape. Conformality Small areas on a map are represented in their true shape and angles are preserved, a characteristic of some map projections. Connectivity ...
There are illustrations of conformal mappings of the world onto a square, onto a triangle, onto an ellipse. {I found the "Craig Retroazimuthal" project most entertaining.
Later in the century, some agencies converted to the Lambert conformal conic projection for maps of the entire country.
Each state is covered by one or more zones, over each of which is placed a grid imposed upon a conformal map projection. The relationship between the grid and the map projection is established by mathematical analysis.
With the exception of Alaska Zone 1, the projections are either Transverse Mercator or Lambert Conformal Conic (LCC). Each state consists of one or more zones. The boundaries of these zones always follow State lines and usually follow County lines.
(if you chose "D - Other Projection") "specify projection name": "list" gives you the list of all available projections, examples are "tmerc" for Transverse Mercator, "lcc" for Lambert Conformal Conic, "moll" for Mollweide, etc.
The projections used as the framework of all US military maps and charts are all conformal.
Maps that maintain the shape of objects are called conformal. Maps that correctly show the distance between points are often called equi-distant maps (note that the shortest distance between two points on a map is generally not a straight line.
The Mercator Conformal Projection Norris Wiemer, University of Alberta.
John Snyder An obituary of the man who achieved immortality by computerizing the mathematical algorithms for transforming map projections.
The digitised data were rectified to longitude and latitude coordinates from the lambert conformal projection of the 1:1M air navigation charts using a program which calculated the mathematical inverse of the projection.
Conformal projections are those on which the scale is the same in any direction at any point on the map.
Hipparchus was the first to show that the stereographic projection is conformal, and that it transforms circles on the sphere that do not pass through the center of projection to circles on the plane. This was the basis for the astrolabe.
It does not possess any of the characteristics usually present in true map projections, for example it is not conformal, so that if it is displayed as an image geographic features will be distorted.
Conformal projections seek to preserve true shape: the best known of these is the Mercator (cylindrical), in which they space meridians equally and parallels become closer near the equator.
For those running east west Lambert Conformal is used. Each zone has its own central meridian and false origin to the south and west of the zone.
That is, the image of a circle on the sphere is a circle in the plane and the angle between two lines on the sphere is the same as the angle between their images in the plane. A projection that preserves angles is called a conformal projection.
The SPC system divides the United States into 125 zones (5 cover Texas) and employs both Lambert conformal and Transverse Mercator projections (depending upon a state`s size and shape).
 See also: Projection, Map, Area, Map Projection, Parallel
|
