Bugayevskiy L., Snyder J. Map Projections - A Reference Manual

L.: Taylor & Francis, 1995. — 352 p. — ISBN 0-7484-0304-3.Bugayevskiy and Snyder's Map Projections, A Reference Manual, is a comprehensive reference of cartographic projections used in mapping the whole Earth, continents and smaller areas. It discusses in depth the main families of projections, their calculations and their most used instances.General theory of map projections
Coordinate systems used in mathematical cartography
Definition of map projections: equations for meridians and parallels; the map graticule; conditions for transformation
Elements for transforming an infinitestimal spheroidal (or spherical) quadrangle onto a plane
Scale
Conditions for conformal, equal-area, and equidistant transformation of an ellipsoidal (or spherical) surface onto a plane
Distortion on map projections
Transformation of one type of surface onto other types: that of the ellipsoid of revolution onto the surface of a sphere
Classification of map projections
Map projections with straight parallels
Cylindrical projections
Pseudocylindrical projections
Map projections with parallels in the shape of concentric circles
Conic projections
Azimuthal projections
Perspective azimuthal projections
Pseudoconic projections
Pseudoazimuthal projections
Retroazimuthal projections
Map projections with parallels in the shape of non-concentric circles
General formulas for polyconic projections
Polyconic projections in a general sense
Polyconic projections in a narrow sense
Characteristics of polyconic projections
Projections for topographic and named-quadrangle maps; projections used in geodesy
Topographic map projections
Projections used for maps at scales of : and I:
Conformal projections of the ellipsoid used in geodesy
Map projection research
Direct and inverse problems of mathematical cartography involved in the theory of direct transformation of surfaces onto a plane
Equations for inverse transformation
Map projection research by solving the direct problem of mathematical cartography
Map projection research by solving the inverse problem of mathematical cartography
Best and ideal map projections; projections satisfying given conditions of representation
General conditions for the best and ideal projections
Chebyshev projections
Conformal projections with adaptable isocols
Conformal projections using elliptic functions
Quasiconformal transformation offlat regions; classes of equal-area projections closest to conformality
Projections with orthogonal map graticules
Euler projections
Two-point azimuthal projection
Two-point equidistant projection
Projections for anamorphous maps
Isometric coordinates and conformal cylindrical projections of the triaxial ellipsoid
Map projections for maps on globes
Mapping geodetic lines, loxodromes, small circles, and trajectory lines of artificial satellites of the Earth
Numerical methods in mathematical cartography
Interpolation and extrapolation
Numerical differentiation
Numerical integration
Approximation
Choice and identification of map projections
Theoretical fundamentals of choosing a map projection
Distortion characteristics on projections of the former USSR, continents, oceans, hemispheres, and world maps
Projections for published maps
Approximate hierarchy of requirements for map projections with varying perception and assessment of cartographic information
Distortion requirements on various types of small-scale maps
Identification of a map projection from the shape of its graticule of meridians and parallels
Problems and directions of automation in obtaining and applying map projections
Calculation of map projections on a computer
Transformation of the map projection of a base map into a given projection
Computerized selection of map projections
Research on map projections in an automated environment to meet given requirements
Identification of map projections in an automated environment
Automated identification and reduction of measurements from maps using their mathematical basis
Automated plotting of elements of the mathematical basis
Summary of miscellaneous projections, with references