The Chamberlin Trimetric Projection

Author: Christensen, Albert H.J.

Source: Cartography and Geographic Information Science, 1 April 1992, vol. 19, no. 2, pp. 88-100(13)

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Abstract:

A computer solution to the Chamberlin Trimetric projection is presented with a numerical method that circumvents the need for closed formulas to analyze distortions. The existence and consequence of singularities in the computer algorithms are discussed in detail, with suggestions to minimize their adverse effect. Linear, area, and angular distortions are estimated for the Chamberlin projection, and compared with values analytically computed for the Transverse Mercator and Albers Equal-Area Conic projections. In addition, distance distortions for the three projections are computed, listed, and compared. The author concludes that the Chamberlin projection is an excellent compromise between the other two, provided the discontinuities are resolved.

Keywords: CARTOGRAPHY; CHAMBERLIN TRIMETRIC; DISCONTINUITIES; DISTORTIONS; PROJECTION; SINGULARITIES

Document Type: Research Article

DOI: http://dx.doi.org/10.1559/152304092783786609

Publication date: April 1, 1992

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