Conformal

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 map projections are frequently employed in large-scale applications, and seldom used for continental or world maps (those shown here are included for comparison only).

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 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 - 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 ...

Conformal Projection A projection that can accurately preserve the shape of mapped entities with the drawback of scalar and area distortion All projections introduce same distortion into the cartesian results, to a certain degree, however, ...

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.

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 ...

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.

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.

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.

SIM is a product of remote sensing where discrete blocks of orbital photography are combined into a comprehensive whole and geocoded, or computer-linked to specific Mercator, Lambert Conformal, ...

by the United States Coast and Geodetic Survey, one for each state in the US, for use in defining postions of geodetic stations in terms of planar x and y coordinates. Massachusetts State Plane Coordinate System is based upon the Lambert conformal ...

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, Equator