Minimum-Error Equal-Area Map Projections

Authors: Dyer, John A.; Snyder, John P.

Source: Cartography and Geographic Information Science, 1 January 1989, vol. 16, no. 1, pp. 39-46(8)

Publisher:

Buy & download fulltext article:

The full text article is temporarily unavailable.

We apologise for the inconvenience. Please try again later.

Abstract:

An equal-area map projection minimizing scale variation within a desired region may be prepared by combining the principle of least squares with an iteration of three elementary equal-area transformations. Constants are determined on a one-time basis using the Gram-Schmidt orthonormalization procedure with any number of chosen points on the Earth sphere or ellipsoid for which minimal distortion is desired. A standard initial projection such as the Lambert Azimuthal Equal-Area is then transformed using these constants and the iterative transformations to produce the final equal-area projection with irregular lines of constant distortion suiting the chosen region.

Keywords: EQUAL-AREA; LEAST SQUARES; MAP PROJECTION

Document Type: Research Article

DOI: http://dx.doi.org/10.1559/152304089783875613

Publication date: January 1, 1989

Related content

Key

Free Content
Free content
New Content
New content
Open Access Content
Open access content
Subscribed Content
Subscribed content
Free Trial Content
Free trial content

Text size:

A | A | A | A
Share this item with others: These icons link to social bookmarking sites where readers can share and discover new web pages. print icon Print this page