[Proj] Ellipsoidal Orthographic

[Noel Zinn (cc)]

[Proj] Ellipsoidal OrthographicThanks, Cliff.  A search of “Polyhedric Müffling” turns up a trail of your postings in many forums, but no “beef” (equations).  I’m off to the library tomorrow to find the 2004 photogrammetry manual.  Cheers.

Noel Zinn, Principal, Hydrometronics LLC
+1-832-539-1472 (office), +1-281-221-0051 (cell)
noel.zinn at hydrometronics.com (email)
http://www.hydrometronics.com (website)


From: Clifford J Mugnier 
Sent: Tuesday, June 28, 2011 9:20 AM
To: PROJ.4 and general Projections Discussions 
Subject: Re: [Proj] Ellipsoidal Orthographic

I have always considered the identical equations to represent the Polyhedric projection (also known as the Müffling projection).  At large scales 1:100,000, 1:50,000 it seems to fit perfectly in my personal experience.  My first experience with the Local Space Rectangular was in 1968 at Army Map Service for the photo-triangulation of the Apollo Lunar Landing Map series.  It's a standard transformation in many photogrammetric photo-triangulation software packages.  See my treatment of the Polyhedric/Müffling projection in the Manual of Photogrammetry, 5th edition, 2004, Chapter 3, Section 3.1.2.2, page 189.  John Snyder and I did discuss that back in the 1980s, and I explained to him that this was exactly what I used to solve the infamous "Tampico Datum" problem of Mexico when I was doing some consulting work over at Offshore Navigation, Inc. back then.

Clifford J. Mugnier, C.P., C.M.S.
Chief of Geodesy,
Center for GeoInformatics
Department of Civil Engineering 
Patrick F. Taylor Hall 3531
LOUISIANA STATE UNIVERSITY 
Baton Rouge, LA  70803
Voice and Facsimile:  (225) 578-8536 [Academic] 
Voice and Facsimile:  (225) 578-4578 [Research] 
Cell: (225) 328-8975 [Academic & Research]
Honorary Life Member of the 
Louisiana Society of Professional Surveyors 
Fellow Emeritus of the ASPRS 
Member of the Americas Petroleum Survey Group




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From: proj-bounces at lists.maptools.org on behalf of Noel Zinn (cc)
Sent: Tue 28-Jun-11 06:43
To: PROJ.4 and general Projections Discussions
Subject: [Proj] Ellipsoidal Orthographic


The only equations for the ellipsoidal orthographic that I've ever found
published (in a book or journal) are those of Bugayevskiy and Snyder (1995),
which are complicated and (the authors acknowledge) truncated.  Following
EPSG Guidance Note 7, Part 2, I've prepared a presentation on the
ellipsoidal orthographic that offers simple, exact equations.  The
derivation also suggests that the ellipsoidal orthographic is unique among
projections, being transitional between distorted cartography in 2D and
undistorted visualization in 3D on a computer in ECEF or ENU (topocentric)
coordinates.  A link to the presentation follows:

http://www.hydrometronics.com/downloads/Ellipsoidal%20Orthographic%20Projection.pdf

Does anyone in this group have other sources of information on the
ellipsoidal orthographic?

Noel

PS - Scroll the page if it presents in black

Noel Zinn, Principal, Hydrometronics LLC
+1-832-539-1472 (office), +1-281-221-0051 (cell)
noel.zinn at hydrometronics.com (email)
http://www.hydrometronics.com (website)


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