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Gnomonic projection of a portion of the north hemisphere centered on the geographic North Pole The gnomonic projection with Tissot's indicatrix of deformation. A gnomonic projection, also known as a central projection or rectilinear projection, is a perspective projection of a sphere, with center of projection at the sphere's center, onto any plane not passing through the center, most commonly ...
Gott, Goldberg and Vanderbei’s double-sided disk map was designed to minimize all six types of map distortions. Not properly "a" map projection because it is on two surfaces instead of one, it consists of two hemispheric equidistant azimuthal projections back-to-back. [5] [6] [7] 1879 Peirce quincuncial: Other Conformal Charles Sanders Peirce
Since the Mercator projection is conformal, that is, bearings in the chart are identical to the corresponding angles in nature, courses plotted on the chart may be used directly as the course-to-steer at the helm. The gnomonic projection is used for charts intended for plotting of great circle routes.
APT handles the commonly used tangent or gnomonic projection (TAN, TPV, and SIP subtypes), as well as the sine (a.k.a. orthographic), Cartesian, and Aitoff projections (the latter is probably only useful for display purposes). APT calculates geometric image distortion only for the tangent projection at this time.
Or if the environment is first considered to be projected onto a sphere, then each face of the cube is its Gnomonic projection. In the majority of cases, cube mapping is preferred over the older method of sphere mapping because it eliminates many of the problems that are inherent in sphere mapping such as image distortion, viewpoint dependency ...
Combined projections from the Klein disk model (yellow) to the Poincaré disk model (red) via the hemisphere model (blue) The Beltrami–Klein model (K in the picture) is an orthographic projection from the hemispherical model and a gnomonic projection of the hyperboloid model (Hy) with the center of the hyperboloid (O) as its center.
Orthographic projection in cartography has been used since antiquity. Like the stereographic projection and gnomonic projection, orthographic projection is a perspective projection in which the sphere is projected onto a tangent plane or secant plane. The point of perspective for the orthographic projection is at infinite distance.
In the past, the gnomonic projection was widely used for navigation charts, and also for polar charts. [29] Since the late 1970s, all charts at a scale of 1:50,000 or larger have used the transverse Mercator projection, [30] which is the projection used for the Ordnance Survey National Grid.