G.Projector 3 — Map Projection Explorer

References

Publications that have been useful in developing G.Projector include the following. But note that that this reference list is (probably) not complete.

Most references include the equations for forward projection transformation equations for at most a handful of projections. Some (e.g., publications by Snyder or Evenden) include such equations for many. But most do not include the inverse transformation equations.

For publications that were of particularly helpful use in addressing multiple projections, we note the several books by Snyder as well as the general inverse paper by Ipbüker and Bildirici (2002).


Abbe, C. 1907: Comprehensive maps and models of the globe for specialized meteorological studies. M. Weather Rev., 35, 559-564, doi:10.1175/1520-0493(1907)35<559:CMAMOT>2.0.CO;2.

Adams, O.S., 1919: General Theory of Polyconic Projections. U.S. Coast and Geodetic Survey Special Publication No. 57.

Adams, O.S., 1945: General Theory of Equivalent Projections. U.S. Coast and Geodetic Survey Special Publication No. 236

Airy, G.B., 1861: Explanation of a projection by balance of errors for maps applying to a very large extent of the earth's surface; and comparison of this projection with other projections, Phil. Mag., 22, 409-421, doi:10.1080/14786446108643179.

Anderson, P.B.: A Gallery of Map Projections. Website at https://www.csiss.org/map-projections/ — last accessed 2021-07-19.

Baar, E.J., 1947: The manipulation of projections for world maps. Geogr. Rev., 37, no. 1, 112-120.

Baker, J.G.P., 1986: The "Dinomic" world map projection. Cartogr. J., 23, 66-67.

Beineke, D., 1991: Untersuchung zur Robinson-Abbildung und Vorschlag einer analytischen Abbildungsvorschrift, Kartogr. Nachr., 41, 85-94.

Bildirici, I.O., and C. Ipbüker, 2007. An analytical approach to the distortion characteristics of Ginzburg's polyconic projections. In Proceedings of XIII International Cartographic Conference (Aug. 4-10, 2007, Moscow, Russia).

Bildirici, I.O., C. Ipbüker, and M. Yanalak, 2006: Function matching for Soviet-era table-based modified polyconic projections, Intl. J. Geogr. Inf. Sci., 20, no. 7, 769-795, doi:10.1080/13658810600711303.

Böhm, R, 2021: Kartenprojektionen. Website at http://www.boehmwanderkarten.de/kartographie/initial.html — last accessed 2021-07-19.

Bottomley, H., 2003: Between the Sinusoidal projection and the Werner: An alternative to the Bonne, Cybergeo Eur. J. Geogr., 241, doi:10.4000/cybergeo.3977.

Bromley, R.H., 1965: Mollweide modified. The Professional Geographer, 17, no. 3, 24, doi:10.1111/j.0033-0124.1965.00024.x.

Canters, F., 1989: New projections for world maps: A quantitative-perceptive approach. Cartographica, 26, no. 2, 53-71.

Canters, F., 2002: Small-scale Map Projection Design. Taylor & Francis.

Canters, F., and H. Decleir, 1989: The World in Perspective: A Directory of World Map Projections. John Wiley & Sons.

Calabretta, M.R., and B.F. Roukema, 2007: Mapping on the HEALPix grid. Mon. Not. Roy. Astron. Soc., 381, 865-872, doi:10.1111/j.1365-2966.2007.12297.x.

Čapek, R., and J. Forstová, 2004: The cartographic projections of R.V. Putniņš, Cartographica, 39, no. 4, 15-25, doi:10.3138/R577-R420-MXH5-4276.

Cogley, J.G., 2002: Variations of the Gringorten square equal-area map projection. Cartogr. Geogr. Inf. Syst., 29, no. 4, 381-390, doi:10.1559/152304002782008341.

Deakin, R.E., 1990: A minimum-error equal-area pseudocylindric map projection, Cartogr. Geogr. Inf. Syst., 17, no. 2, 161-171, doi:10.1559/152304090783813880.

DeLucia, A.A., and J.P. Snyder, 1986: An innovative world map projection, Amer. Cartogr, 13, no. 2, 165-167, doi:10.1559/152304086783900112.

Evenden, G., 1995: Cartographic Projection Procedures, Release 4, Second Interim Report. PDF file of document dated 1995-09-24.

Evenden, G., 2008: libproj4: A Comprehensive Library of Cartographic Projection Functions (Preliminary Draft). PDF file of document dated November 2008.

Fenna, D., 2007: Cartographic Science. CRC Press.

Fisher, I., 1943: A world map on a regular icosahedron by gnomonic projection. Geogr. Rev., 33, no. 4, 605-619, doi:10.2307/209914.

Frančula, N., 1971: Die vorteilhaftesten Abbildungen in der Atlaskartographie. PDF file of thesis

Furuti, C.A.: Map Projections. Website formerly at www.progonos.com — last accessed 2018-07-19 but no longer available. Versions of the site may be found archived elsewhere on-line.

Gott, J.R., D.M. Goldberg, and R.J. Vanderbei, 2021: Flat maps that improve on the Winkel Tripel, arXiv:2102.08176.

Gott, J.R., C. Mugnolo, and W.N. Colley, 2007: Map projections minimizing distance errors. Cartographica, 42, no. 3, 219-234, doi:10.3138/carto.42.3.219.

Gringorten, I.I., 1972: A square equal-area map of the world. J. Appl. Meteorol., 11, no. 5, 763-767, doi:10.1175/1520-0450(1972)011<0763:ASEAMO>2.0.CO;2.

Györffy, J., 2018: Minimum distortion pointed-polar projections for world maps by applying graticule transformation. Intl. J. Cartogr., 4, no. 2, 224-240, doi:10.1080/23729333.2018.1455263.

Hägerstrand, T., 1957. Migration and area: Survey of a sample of Swedish migration fields and hypothetical considerations on their genesis. In Lund Studies in Geography, Ser. B, Human Geography, no. 13, 27-158.

Ipbüker, C., 2004: Numerical evaluation of the Robinson projection, Cartogr. Geogr. Inf. Sci., 31, 79-88.

Ipbüker, C., 2008: Equations of the Mayr projection, Cartogr. Geogr. Inf. Sci., 35, 157-169, doi:10.1559/152304008784864659.

Ipbüker, C., and I.O. Bildirici, 2002: A general algorithm for the inverse transformation of map projections using Jacobian matrices. In Proceedings of the Third International Symposium on Mathematical and Computational Applications (Sep. 4-6, 2002, Konya, Turkey), pp. 175-182.

James, H., and A.R. Clarke, 1862: On projections for maps applying to a very large extent of the Earth's surface, Phil. Mag., 23, 306-312, doi:10.1080/14786446208643253.

Jenny, B., B. Šavrič, and D.R. Strebe, 2017: A computational method for the Hufnagel pseudocylindric map projection family, Cartogr. Geogr. Inf. Sci., 44, 86-94, doi:10.1080/15230406.2015.1128853.

Jenny, B., B. Šavrič, and T. Patterson, 2015: A compromise aspect-adaptive cylindrical projection for world maps, Intl. J. Geogr. Inf. Sci., 29, no. 6, 935-952, doi:10.1080/13658816.2014.997734.

Jung, T.: Compare Map Projections, auf deutsch Kartenprojektionen vergleichen. Website at https://map-projections.net/ and (auf Deutsch) https://www.kartenprojektionen.de/ — last accessed 2021-07-19.

Maurer, H., 1922: Uber Bezeichnungen von Kartehentwürfen, insbesondere über doppelsymmetrische unecht-abstandstreue Weltkarten mit Pol-Punkten. Z. Ges. Erdkunde Berlin, 1922, 115-126.

Maurer, H., 1935: Ebene kugelbilder: ein Linnésches system der kartenentwürfe, Justus Perthes Verlag.

Maurer, H., and P. Ludwig (trans.), 1968: Plane Globe Projection: A Linnaean System of Map Projection, Harvard University Laboratory for Computer Graphics and Spatial Analysis. A translation of Maurer (1935), edited by and with a foreword by W. Warntz.

McBryde, F.W., and P.D. Thomas, 1949: Equal-Area Projections for World Maps. U.S. Coast and Geodetic Survey, Special Publication No. 245.

Miller, O.M., 1942: Notes on cylindrical world map projections, Geogr. Rev, 3, 424-430, doi:10.2307/210384.

Patterson, T., B. Šavrič, and B. Jenny, 2014: Introducing the Patterson cylindrical projection, Cartogr. Perspect., no. 78, 77-81, doi:10.14714/CP78.1270.

Philbrick, A.K., 1953: An oblique equal area map for world distributions. Ann. Assoc. Amer. Geogr., 43, no. 3, 201-215.

Pierpont, J., 1896: Note on C.S. Peirce's paper on "A Quincuncial projection of the sphere", Amer. J. Math., 18, 145-152, 1896.

Raisz, E.J., 1943: Orthoapsidal world maps. Geogr. Rev., 33, 132-134, doi:10.2307/210623.

Redway, J.W., and R. Hinman, 1898a: Natural Advanced Geography, American Book Company.

Redway, J.W., and R. Hinman, 1898b (rev. ed. 1907): Natural School Geography: Part One, American Book Company.

Rivière, P., 2017. Bertin projection (1953), On visionscarto website. Available at https://visionscarto.net/bertin-projection-1953 — last accessed 2021-07-19.

Šavrič, B., 2011: Derivation of a Polynomial Equation for the Natural Earth Projection. Graduation Thesis, University of Ljubljana.

Šavrič, B., B. Jenny, T. Patterson, D. Petrovič, and L. Hurni, 2011: A polynomial equation for the Natural Earth projection, Cartogr. Geogr. Inf. Sci., 28, 363-372, doi:10.1559/15230406384363.

Šavrič, B., T. Patterson, and B. Jenny, 2015: The Natural Earth II world map projection, Intl. J. Cartogr., 1, no. 2, 123-133, doi:10.1080/23729333.2015.1093312.

Šavrič, B., T. Patterson, and B. Jenny, 2019: The Equal Earth map projection, Cartogr. Geogr. Inf. Sci., 33, no. 3, 454-465, doi:10.1080/13658816.2018.1504949.

Schmid, E., 1974: World Maps on the August Epicycloidal Conformal Projection, NOAA Technical Report NOS 63.

Snyder, J.P., 1977: A comparison of pseudocylindrical map projections, Amer. Cartogr., 4, no. 1, 59-81, doi:10.1559/152304077784080031.

Snyder, J.P., 1981. The perspective map projection of the Earth, Amer. Cartogr., 8, 149-160, doi:10.1559/152304081784447336.

Snyder, J.P., 1982/1983: Map Projections Used by the U.S. Geological Survey, 2nd ed. Geological Survey Bulletin 1532. U.S. Government Printing Office. Available at https://pubs.er.usgs.gov/publication/b1532 — last accessed 2021-07-19

Snyder, J.P., 1987: Map Projections — A Working Manual. Geological Survey Professional Paper 1395. U.S. Government Printing Office. Available at https://pubs.er.usgs.gov/publication/pp1395 — last accessed 2021-07-19.

Snyder, J.P., 1993 (rev. ed. 1997): Flattening the Earth: Two Thousand Years of Map Projections. University of Chicago Press.

Snyder, J.P., 1994: The Hill Eucyclic projection, Cartogr. Geogr. Inf. Syst, 21, 213-218, doi:10.1559/152304094782540682.

Snyder, J.P., and P.M. Voxland, 1989: An Album of Map Projections. Geological Survey Professional Paper 1453. U.S. Government Printing Office. Available at https://pubs.er.usgs.gov/publication/pp1453 — last accessed 2021-07-19

Spilhaus, A.F., 1942: Maps of the whole world ocean. Geogr. Rev., 32, 431-435.

Strebe, D., 2011: Abetting a tattoo: Description of the tattoo's projection. Posting on Mapthematics.com forum available at https://www.mapthematics.com/forums/viewtopic.php?f=8&t=223 — last accessed 2018-03-15.

Strebe, D., 2018: A bevy of area-preserving transforms for map projection designers. Cartogr. Geogr. Info. Syst., 46, 3, 260-276, doi:10.1080/15230406.2018.1452632.

Taylor, D.B., 2013: Astronomical applications of some map projections. NAO Technical Note No. 75. HM Nautical Almanac Office. Available at http://astro.ukho.gov.uk/nao/technotes/ — last accessed 2021-07-19.

Tissot, A., 1881: Mémoire sur la représentation des surfaces et les projections des cartes géographiques. Gauthier-Villars.

Tissot, A., and E. Hammer (trans.), 1887: Die Netzentwürfe geographischer Karten nebst Aufgaben über Abbildung beliebiger Flächen auf einander. J.B. Mestzlersche.

Tobler, W., 1973: The hyperelliptical and other new pseudo cylindrical equal area map proiections, J. Geophys. Res., 78, 1753-1759.

Tobler, W., 1997: Alternatives to Miller's projection. Cartogr. Geogr. Inf. Syst., 23, no. 2, 110-112, doi:10.1559/152304097782439358.

Van der Grinten, A.J., 1904: Darstellung der ganzen Erdoberfläche auf einer kreisförmigen Projektionschene. Petermanns Geographische Mitteilungen, 50, no. 7, 155-159.

William-Olsson, W., 1968: A new equal area projection of the world, Acta Geographica (Helsinki), 20, 389-393.

Zöppritz, K., and A. Bludau, 1912: Leitfaden der Kartenentwurfslehre (3rd, exp. ed.). Teubner: Leipzig.

Thanks also to Paul B. Anderson for helpful discussion of cartography and code references.


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