<HTML dir=ltr xmlns:o = "urn:schemas-microsoft-com:office:office"><HEAD><TITLE>[Proj] Ellipsoidal Orthographic</TITLE>
<META content="text/html; charset=unicode" http-equiv=Content-Type>
<META name=GENERATOR content="MSHTML 8.00.7600.16821"></HEAD>
<BODY dir=ltr>
<DIV dir=ltr>
<DIV style="FONT-FAMILY: 'Calibri'; COLOR: #000000; FONT-SIZE: 12pt">
<P style="MARGIN: 0in 0in 0pt" class=MsoNormal>Cliff has saved me a trip to the
"old-timey" library by sending me a PDF of the relevant chapter of the 2004
Manual of Photogrammetry.<SPAN style="mso-spacerun: yes"> </SPAN>The LSR
equations are there as they were in 1980 by the name of geocentric local
vertical (see Ellipsoidal Orthographic presentation).<SPAN
style="mso-spacerun: yes"> </SPAN>There is also the statement, "When <I>h0
</I><SPAN style="FONT-FAMILY: ; mso-bidi-font-family: symbol">= 0</SPAN>, and
used only in a 2-dimensional case, it is equivalent to the old European
<I>Müffling </I>or Polyeder (Polyhedric) projection commonly found in 18<SPAN>th
</SPAN>and 19<SPAN>th </SPAN>century maps compiled with plane table and
alidade."<SPAN style="mso-spacerun: yes"> </SPAN>As noted previously,
Cliff has asserted similarly here and in other forums.<SPAN
style="mso-spacerun: yes"> </SPAN></P>
<P style="MARGIN: 0in 0in 0pt" class=MsoNormal> </P>
<P style="MARGIN: 0in 0in 0pt" class=MsoNormal>You're peerless at what you do,
Cliff, but what I mean by "beef" is more than an assertion, but corroboration in
the form (for example) of a photocopy of some hoary document in Dutch or in von
<SPAN style="mso-bidi-font-style: italic">Müffling penmanship from your geodetic
antiquarium.<SPAN style="mso-spacerun: yes"> </SPAN>When you were working
for ONI in the eighties, I was doing a similar job for NCS.<SPAN
style="mso-spacerun: yes"> </SPAN>You'll remember that our clients' motto
was "trust but verify".<SPAN style="mso-spacerun: yes"> </SPAN></SPAN></P>
<P style="MARGIN: 0in 0in 0pt" class=MsoNormal> </P>
<P style="MARGIN: 0in 0in 0pt" class=MsoNormal>One issue is whether von <SPAN
style="mso-bidi-font-style: italic">Müffling was using the LSR equations, but
the other issue is whether he realized he was dealing with the ellipsoidal
orthographic.<SPAN style="mso-spacerun: yes"> </SPAN>Have the authors of
the Manual of Photogrammetry realized that?<SPAN
style="mso-spacerun: yes"> </SPAN>It's not mentioned.<SPAN
style="mso-spacerun: yes"> </SPAN>It first dawned on me in 2005.<SPAN
style="mso-spacerun: yes"> </SPAN>I don't know when ESRI made the
connection, but Dave Burrows communicated it to me 2007 and ESRI knew it before
then.<SPAN style="mso-spacerun: yes"> </SPAN>I wish I knew if these were
Snyder's equations for the ellipsoidal orthographic back in 1979, which he
choose not to share.</SPAN></P>
<P style="MARGIN: 0in 0in 0pt" class=MsoNormal><SPAN
style="mso-bidi-font-style: italic"></SPAN> </P>
<P style="MARGIN: 0in 0in 0pt" class=MsoNormal><SPAN
style="mso-bidi-font-style: italic">Noel</SPAN></P>
<P style="MARGIN: 0in 0in 0pt" class=MsoNormal> </P>
<DIV style="FONT-FAMILY: 'Calibri'; COLOR: #000000; FONT-SIZE: 12pt">Noel Zinn,
Principal, Hydrometronics LLC<BR>+1-832-539-1472 (office), +1-281-221-0051
(cell)<BR>noel.zinn@hydrometronics.com (email)<BR>http://www.hydrometronics.com
(website)<BR></DIV>
<DIV
style="FONT-STYLE: normal; DISPLAY: inline; FONT-FAMILY: 'Calibri'; COLOR: #000000; FONT-SIZE: small; FONT-WEIGHT: normal; TEXT-DECORATION: none">
<DIV style="FONT: 10pt tahoma">
<DIV> </DIV>
<DIV style="BACKGROUND: #f5f5f5">
<DIV style="font-color: black"><B>From:</B> <A title=ndzinn@comcast.net
href="mailto:ndzinn@comcast.net">Noel Zinn (cc)</A> </DIV>
<DIV><B>Sent:</B> Tuesday, June 28, 2011 5:14 PM</DIV>
<DIV><B>To:</B> <A title=proj@lists.maptools.org
href="mailto:proj@lists.maptools.org">PROJ.4 and general Projections
Discussions</A> </DIV>
<DIV><B>Subject:</B> Re: [Proj] Ellipsoidal Orthographic</DIV></DIV></DIV>
<DIV> </DIV></DIV>
<DIV
style="FONT-STYLE: normal; DISPLAY: inline; FONT-FAMILY: 'Calibri'; COLOR: #000000; FONT-SIZE: small; FONT-WEIGHT: normal; TEXT-DECORATION: none">
<DIV dir=ltr>
<DIV style="FONT-FAMILY: 'Calibri'; COLOR: #000000; FONT-SIZE: 12pt">
<DIV>Thanks, Cliff. A search of “Polyhedric <SPAN
style="FONT-FAMILY: ; mso-ansi-language: en-us; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: 'Times New Roman'; mso-fareast-language: en-us; mso-bidi-language: ar-sa">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.</SPAN></DIV>
<DIV> </DIV>
<DIV style="FONT-FAMILY: 'Calibri'; COLOR: #000000; FONT-SIZE: 12pt">Noel Zinn,
Principal, Hydrometronics LLC<BR>+1-832-539-1472 (office), +1-281-221-0051
(cell)<BR>noel.zinn@hydrometronics.com (email)<BR>http://www.hydrometronics.com
(website)<BR></DIV>
<DIV
style="FONT-STYLE: normal; DISPLAY: inline; FONT-FAMILY: 'Calibri'; COLOR: #000000; FONT-SIZE: small; FONT-WEIGHT: normal; TEXT-DECORATION: none">
<DIV style="FONT: 10pt tahoma">
<DIV> </DIV>
<DIV style="BACKGROUND: #f5f5f5">
<DIV style="font-color: black"><B>From:</B> <A title=cjmce@lsu.edu
href="mailto:cjmce@lsu.edu">Clifford J Mugnier</A> </DIV>
<DIV><B>Sent:</B> Tuesday, June 28, 2011 9:20 AM</DIV>
<DIV><B>To:</B> <A title=proj@lists.maptools.org
href="mailto:proj@lists.maptools.org">PROJ.4 and general Projections
Discussions</A> </DIV>
<DIV><B>Subject:</B> Re: [Proj] Ellipsoidal Orthographic</DIV></DIV></DIV>
<DIV> </DIV></DIV>
<DIV
style="FONT-STYLE: normal; DISPLAY: inline; FONT-FAMILY: 'Calibri'; COLOR: #000000; FONT-SIZE: small; FONT-WEIGHT: normal; TEXT-DECORATION: none">
<DIV dir=ltr id=idOWAReplyText21743>
<DIV dir=ltr><FONT color=#000000 size=2 face="Times New Roman">I have always
considered the identical equations to represent the Polyhedric projection (also
known as the <SPAN
style="FONT-FAMILY: 'Times New Roman','serif'; FONT-SIZE: 10pt; mso-ansi-language: en-us; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: 'Times New Roman'; mso-fareast-language: en-us; mso-bidi-language: ar-sa">Müffling
projection</SPAN>). 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/<SPAN
style="FONT-FAMILY: 'Times New Roman','serif'; FONT-SIZE: 10pt; mso-ansi-language: en-us; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: 'Times New Roman'; mso-fareast-language: en-us; mso-bidi-language: ar-sa">Müffling
projection</SPAN> in the <EM>Manual of Photogrammetry</EM>, 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.</FONT></DIV>
<DIV dir=ltr><FONT color=#000000 size=2
face="Times New Roman"></FONT> </DIV></DIV>
<DIV dir=ltr id=idSignature11323>
<DIV><FONT color=#000000 size=2 face="Times New Roman"><SPAN
style="FONT-SIZE: 10pt">
<DIV style="MARGIN: 0in 0in 0pt" class=MsoNormal><SPAN
style="FONT-SIZE: 10pt; mso-ansi-language: de" lang=DE>Clifford J. Mugnier,
C.P., C.M.S.<o:p></o:p></SPAN></DIV>
<DIV style="MARGIN: 0in 0in 0pt" class=MsoNormal><SPAN
style="FONT-SIZE: 10pt">Chief of Geodesy,<o:p></o:p></SPAN></DIV>
<DIV style="MARGIN: 0in 0in 0pt" class=MsoNormal><B><SPAN
style="FONT-VARIANT: small-caps; FONT-SIZE: 10pt">Center for
GeoInformatics<o:p></o:p></SPAN></B></DIV>
<DIV style="MARGIN: 0in 0in 0pt" class=MsoNormal><SPAN
style="FONT-SIZE: 10pt">Department of Civil Engineering <o:p></o:p></SPAN></DIV>
<DIV style="MARGIN: 0in 0in 0pt" class=MsoNormal><SPAN
style="FONT-SIZE: 10pt">Patrick F. Taylor Hall 3531</SPAN></DIV>
<DIV style="MARGIN: 0in 0in 0pt" class=MsoNormal><B><SPAN
style="FONT-SIZE: 10pt">LOUISIANA STATE UNIVERSITY <o:p></o:p></SPAN></B></DIV>
<DIV style="MARGIN: 0in 0in 0pt" class=MsoNormal><SPAN
style="FONT-SIZE: 10pt">Baton Rouge, LA<SPAN style="mso-spacerun: yes">
</SPAN>70803<o:p></o:p></SPAN></DIV>
<DIV style="MARGIN: 0in 0in 0pt" class=MsoNormal><SPAN
style="FONT-SIZE: 10pt">Voice and Facsimile:<SPAN
style="mso-spacerun: yes"> </SPAN>(225) 578-8536 [Academic]
<o:p></o:p></SPAN></DIV>
<DIV style="MARGIN: 0in 0in 0pt" class=MsoNormal><SPAN
style="FONT-SIZE: 10pt">Voice and Facsimile:<SPAN
style="mso-spacerun: yes"> </SPAN>(225) 578-4578 [Research]
<o:p></o:p></SPAN></DIV>
<DIV style="MARGIN: 0in 0in 0pt" class=MsoNormal><SPAN
style="FONT-SIZE: 10pt">Cell: (225) 328-8975 [Academic &
Research]<o:p></o:p></SPAN></DIV>
<DIV style="MARGIN: 0in 0in 0pt" class=MsoNormal><SPAN
style="FONT-SIZE: 10pt">Honorary Life Member of the <o:p></o:p></SPAN></DIV>
<DIV style="MARGIN: 0in 0in 0pt" class=MsoNormal><SPAN
style="FONT-SIZE: 10pt">Louisiana Society of Professional Surveyors
<o:p></o:p></SPAN></DIV>
<DIV style="MARGIN: 0in 0in 0pt" class=MsoNormal><SPAN
style="FONT-SIZE: 10pt">Fellow Emeritus of the ASPRS <o:p></o:p></SPAN></DIV>
<DIV style="MARGIN: 0in 0in 0pt" class=MsoNormal><SPAN
style="FONT-SIZE: 10pt">Member of the Americas Petroleum Survey
Group<o:p></o:p></SPAN></DIV><BR></SPAN></FONT></DIV></DIV>
<DIV dir=ltr><BR>
<HR tabIndex=-1>
<FONT size=2 face=Tahoma><B>From:</B> proj-bounces@lists.maptools.org on behalf
of Noel Zinn (cc)<BR><B>Sent:</B> Tue 28-Jun-11 06:43<BR><B>To:</B> PROJ.4 and
general Projections Discussions<BR><B>Subject:</B> [Proj] Ellipsoidal
Orthographic<BR></FONT><BR></DIV>
<DIV>
<P><FONT size=2>The only equations for the ellipsoidal orthographic that I've
ever found<BR>published (in a book or journal) are those of Bugayevskiy and
Snyder (1995),<BR>which are complicated and (the authors acknowledge)
truncated. Following<BR>EPSG Guidance Note 7, Part 2, I've prepared a
presentation on the<BR>ellipsoidal orthographic that offers simple, exact
equations. The<BR>derivation also suggests that the ellipsoidal
orthographic is unique among<BR>projections, being transitional between
distorted cartography in 2D and<BR>undistorted visualization in 3D on a computer
in ECEF or ENU (topocentric)<BR>coordinates. A link to the presentation
follows:<BR><BR><A
href="http://www.hydrometronics.com/downloads/Ellipsoidal%20Orthographic%20Projection.pdf">http://www.hydrometronics.com/downloads/Ellipsoidal%20Orthographic%20Projection.pdf</A><BR><BR>Does
anyone in this group have other sources of information on the<BR>ellipsoidal
orthographic?<BR><BR>Noel<BR><BR>PS - Scroll the page if it presents in
black<BR><BR>Noel Zinn, Principal, Hydrometronics LLC<BR>+1-832-539-1472
(office), +1-281-221-0051 (cell)<BR>noel.zinn@hydrometronics.com (email)<BR><A
href="http://www.hydrometronics.com/">http://www.hydrometronics.com</A>
(website)<BR><BR><BR>_______________________________________________<BR>Proj
mailing list<BR>Proj@lists.maptools.org<BR><A
href="http://lists.maptools.org/mailman/listinfo/proj">http://lists.maptools.org/mailman/listinfo/proj</A><BR></FONT></P></DIV>
<P>
<HR>
_______________________________________________<BR>Proj mailing
list<BR>Proj@lists.maptools.org<BR>http://lists.maptools.org/mailman/listinfo/proj</DIV></DIV></DIV>
<P>
<HR>
_______________________________________________<BR>Proj mailing
list<BR>Proj@lists.maptools.org<BR>http://lists.maptools.org/mailman/listinfo/proj</DIV></DIV></DIV></BODY></HTML>