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CAMPREL: A New Adaptive Conformal Cartographic Projection

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Authors
Nestorov, Ivan
Article (Published version)
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Abstract
The theoretical basis of CAMPREL is discussed. Previously derived partial, differential second- order equations describing the conformal mapping of a rotational ellepsoid onto a plane, and the contour conditions formulated on the basis of the Chebyshev-Grave theorem, have been used to determine the linear-scale function of a harmonic polynomial. A methodology is presented for finding the optimal CAMPREL projection which satisfies the minimax criterion expressed by the Chebyshev-Grave theorem, as well as the variables expressed in the optimization process. The optimal projection was selected from among thousands of projection variants by means of a multicriteria analysis The uniform and symmetric distribution of the extreme linear deformations thus represents a higher-order criterion which can be used to supplement other criteria. A comparison of the optimal CAMPREL projection with those of Gaus-Krüger and Lambert for small countries (e.g., the former Yugoslavia), and with Urmayev's for... the European part of the former USSR, Frankich's for Canada, and Snyder's for USA, confirmed that the new CAMPREL projection yields fewer linear distortions when mapping a rotational ellipsoid onto a plane.

Keywords:
Chebyshev-Grave's theorem / Conformal adaptive cartographic projection / Distribution of distortions / Map of equal linear scales / Poisson's and Laplace's partial differential equations / Reverse ass
Source:
Cartography and Geographic Information Science, 1997, 24, 4, 221-227
Publisher:
  • American Congress on Surveying and Mapping

DOI: 10.1559/152304097782439295

ISSN: 1523-0406

Scopus: 2-s2.0-0031251118
[ Google Scholar ]
7
URI
https://grafar.grf.bg.ac.rs/handle/123456789/10
Collections
  • Radovi istraživača / Researcher's publications
  • Катедра за геодезију и геоинформатику
Institution/Community
GraFar
TY  - JOUR
AU  - Nestorov, Ivan
PY  - 1997
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/10
AB  - The theoretical basis of CAMPREL is discussed. Previously derived partial, differential second- order equations describing the conformal mapping of a rotational ellepsoid onto a plane, and the contour conditions formulated on the basis of the Chebyshev-Grave theorem, have been used to determine the linear-scale function of a harmonic polynomial. A methodology is presented for finding the optimal CAMPREL projection which satisfies the minimax criterion expressed by the Chebyshev-Grave theorem, as well as the variables expressed in the optimization process. The optimal projection was selected from among thousands of projection variants by means of a multicriteria analysis The uniform and symmetric distribution of the extreme linear deformations thus represents a higher-order criterion which can be used to supplement other criteria. A comparison of the optimal CAMPREL projection with those of Gaus-Krüger and Lambert for small countries (e.g., the former Yugoslavia), and with Urmayev's for the European part of the former USSR, Frankich's for Canada, and Snyder's for USA, confirmed that the new CAMPREL projection yields fewer linear distortions when mapping a rotational ellipsoid onto a plane.
PB  - American Congress on Surveying and Mapping
T2  - Cartography and Geographic Information Science
T1  - CAMPREL: A New Adaptive Conformal Cartographic Projection
EP  - 227
IS  - 4
SP  - 221
VL  - 24
DO  - 10.1559/152304097782439295
ER  - 
@article{
author = "Nestorov, Ivan",
year = "1997",
abstract = "The theoretical basis of CAMPREL is discussed. Previously derived partial, differential second- order equations describing the conformal mapping of a rotational ellepsoid onto a plane, and the contour conditions formulated on the basis of the Chebyshev-Grave theorem, have been used to determine the linear-scale function of a harmonic polynomial. A methodology is presented for finding the optimal CAMPREL projection which satisfies the minimax criterion expressed by the Chebyshev-Grave theorem, as well as the variables expressed in the optimization process. The optimal projection was selected from among thousands of projection variants by means of a multicriteria analysis The uniform and symmetric distribution of the extreme linear deformations thus represents a higher-order criterion which can be used to supplement other criteria. A comparison of the optimal CAMPREL projection with those of Gaus-Krüger and Lambert for small countries (e.g., the former Yugoslavia), and with Urmayev's for the European part of the former USSR, Frankich's for Canada, and Snyder's for USA, confirmed that the new CAMPREL projection yields fewer linear distortions when mapping a rotational ellipsoid onto a plane.",
publisher = "American Congress on Surveying and Mapping",
journal = "Cartography and Geographic Information Science",
title = "CAMPREL: A New Adaptive Conformal Cartographic Projection",
pages = "227-221",
number = "4",
volume = "24",
doi = "10.1559/152304097782439295"
}
Nestorov, I.. (1997). CAMPREL: A New Adaptive Conformal Cartographic Projection. in Cartography and Geographic Information Science
American Congress on Surveying and Mapping., 24(4), 221-227.
https://doi.org/10.1559/152304097782439295
Nestorov I. CAMPREL: A New Adaptive Conformal Cartographic Projection. in Cartography and Geographic Information Science. 1997;24(4):221-227.
doi:10.1559/152304097782439295 .
Nestorov, Ivan, "CAMPREL: A New Adaptive Conformal Cartographic Projection" in Cartography and Geographic Information Science, 24, no. 4 (1997):221-227,
https://doi.org/10.1559/152304097782439295 . .

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