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Conformal Maps With Least Distortion

Published online by Cambridge University Press:  20 November 2018

H. G. Helfenstein
H. G. Helfenstein*
Affiliation:
University of Alberta
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1. Introduction. Our problem is related to the construction of geographical maps as follows. The reason for using conformai geographical maps is that the scale (viz., the ratio of two corresponding line-elements) does not depend on the direction of these line-elements. In an ideal map the scale, being responsible for the preservation of shape, would also be independent of the points where the line-elements begin.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 7 , 1955 , pp. 306 - 313
Copyright
Copyright © Canadian Mathematical Society 1955

References

1. Tchebycheff, , Sur la construction des cartes géographiques; Oeuvres, tome I, pp. 233–236, 239–247.Google Scholar