[Proj] Some Map Projection Formula Resources
Paul B. Anderson
pbander at cavtel.net
Wed Jun 18 12:08:54 EDT 2008
- Hi Everyone,
I thought I might share with you some of the Map Projection Formula
resources that I have:
- John Parr Snyder's personal software [MSDOS, Quick Basic source code] .
While his software is fully functional (send me an e-mail if you want to
know more) most people just extract it to a single subdirectory (or Folder)
and pull out the formulas (Warning -- John's code is not easy to follow):
http://www.csiss.org/map-projections/snyder/
======
German Cartographer Hans Maurer's 1935 map projection catalogue:
http://www.csiss.org/map-projections/maurer/
== file descriptions ==
- MP_Class.txt 05-Oct-2007 18:19 2.6K
My text from a long forgotten Usenet post - it can also be found here:
http://mapmaker.rutgers.edu/355/AndersonProjectionPointers.html
- In the 1930s Hans Maurer published his map projection catalogue. In 1968
someone at Harvard did a literal translation of it from German to English.
BTW, you can stil get this english translation from the Library of Congress
if you are willing to put out 75 dollars for a very poorly done photocopy.
Note that the Maling PDF document at my map projection web site contains a
graphic showing Maurer's classification scheme compared to that of L. P. Lee
and Waldo Tobler.
Main document (in 2 parts):
M_1.pdf 05-Oct-2007 18:20 19M
M_2.pdf 05-Oct-2007 18:21 18M
Better copies of the document's graphics (from Dr. Waldo Tobler):
M_G.pdf 05-Oct-2007 18:21 3.0M
My feeble attempt at identifying the Maurer formulas in the context of
today's map projection names:
Maurer.txt 05-Oct-2007 18:21 7.8K
Note that any additions or corrections here are welcome.
A seven (7) page table (in German) from the end of the document listing the
presented map projections and their formulas. Poorly done in the original
photocopy, these 'enlarged' pages were provided to me by Dr. Tobler as paper
documents. they are 11x17 page size, and in landscape. I just scanned them
to PDF:
page_1.pdf 05-Oct-2007 18:21 281K
page_2.pdf 05-Oct-2007 18:21 266K
page_3.pdf 05-Oct-2007 18:21 273K
page_4.pdf 05-Oct-2007 18:21 244K
page_5.pdf 05-Oct-2007 18:21 251K
page_6.pdf 05-Oct-2007 18:21 271K
page_7.pdf 05-Oct-2007 18:21 254K
======
Tobler
A partial list of Azimuthal equations:
http://www.galleryofmapprojections.com/Tobler/AzEqns.PDF
Note that my math skills are not up snuff in figuring out some of the
equations presented. Any help here would be appreciated.
One of the things I've experimented with in the last year is a variation of
the Tobler graphic (after gedymin) on page 9 of this reference:
http://www.galleryofmapprojections.com/Tobler/GeoCoordCompP2.pdf
Here is my version, done entirely in ArcGIS 9.2, but, it has problems with
all the graticules of the single hemisphere Azimuthals.
http://www.galleryofmapprojections.com/images/gedymin_prof.pdf
What frustrates me is that I'm only 2 courses from completing Old Dominion
University's 'GIS certificate' and I've had 3 of their courses using ArcGIS.
I have yet to learn how to fix my Hemisphere graticule problem. Here are the
project files if anyone wants to tinker with it:
http://www.galleryofmapprojections.com/Anderson/arcgis_gedymin.zip
======
Anderson
Some of MY old stuff:
http://www.csiss.org/map-projections/anderson/
In particular 'wv.zip' - compiled MSDOS Quick Basic, extract it to any
subdirectory (folder) and run 'wv.exe'.
And 'wvsrc_2007.zip', my reasonably readable source code in Quick Basic.
While my software is not perfect, the majority of the graphics at my web
site were initially created with this software as HPGL files. They were then
brought into Corel Draw where I cleaned and sized them before exporting
them back out as PDF files. I ran out of room in the MSDOS environment, so I
have around 125 more stand alone programs for some of my other graphics.
Take Care,
- Paul B. Anderson
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