Gnomonic projections

A projective plane may be generated by adding to the Euclidean plane a line at infinity. The Euclidean plane itself is equivalent to the gnomonic projection of a sphere on a plane, a shown in figure 12. Each point P in the... 

Figure 7.12 Gnomonic projection of point Pi on P in the Euclidean plane a. The line m maps the stippled great circle.

McGregor JL (1997) Semi-Lagrangian advection on a cubic gnomonic projection of the sphere. In Lin C, Laprise R, Ritchie H (eds) Numerical methods in atmospheric and oceanic modelling the Andre J. Robert Memorial (Companion volume to atmosphere-ocean). Canadian Meteorological and Oceanographic Society, Ottawa, Canada, pp 153-169... 

Chau, P.-L. and Dean, P.M. (1987). Molecular Recognition 3D Surface Structure Comparison by Gnomonic Projection. J.MoLGraphics, 5, 97-100. 

A useful transformation of the flat film Laue pattern is the gnomonic projection. This converts the pattern of spots lying on curved arcs to points lying on straight lines. This is advantageous in determining the soft limits Amin, Amax and dmin (Cruickshank, Carr and Harding, to be... 

It follows from the mapping of the points on a sphere to a tangential plane using central or gnomonic projection through the centre O of the sphere as... 

Figure 13 2D representation of gnomonic projection. The two vectors shown refer to the radial distance (VSj), and the minimum distance from the vertex to the molecular surface... 

Figure 14 Tessellated icosahedron of the kind applied to define the position of sphere surface points used in SPERM gnomonic projection calculations. ...

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