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<H2><A NAME="SECTION001348000000000000000">
5.4.8 Miller Cylindrical Projections (<B>-Jj</B> <B>-JJ</B>)</A>
</H2>
<P>
<A NAME="8715"></A>
<A NAME="8716"></A>
<A NAME="8717"></A>
<P>
This cylindrical projection, presented by O. M. Miller of the
American Geographic Society in 1942, is neither equal nor conformal.
All meridians and parallels are straight lines. The projection was
designed to be a compromise between Mercator and other cylindrical
projections. Specifically, Miller spaced the parallels by using
Mercators formula with 0.8 times the actual latitude, thus avoiding
the singular poles; the result was then divided by 0.8. There is
only a spherical form for this projection. The requirements to
define this projection are:
<P>
<DL>
<DD><P>
</DD>
<DT><STRONG><IMG
WIDTH="12" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
SRC="img54.gif"
ALT="$\bullet$"></STRONG></DT>
<DD>The central meridian
<P>
</DD>
<DT><STRONG><IMG
WIDTH="12" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
SRC="img54.gif"
ALT="$\bullet$"></STRONG></DT>
<DD>The standard parallel
<P>
</DD>
<DT><STRONG><IMG
WIDTH="12" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
SRC="img54.gif"
ALT="$\bullet$"></STRONG></DT>
<DD>Scale in inch/degree or as 1:xxxxx (<B>-Jj</B>),
or map width (<B>-JJ</B>)
<P>
</DD>
</DL>
<P>
For instance, a world map centered on the 90<IMG
WIDTH="11" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
SRC="img61.gif"
ALT="$^{o}$">E meridian
at a map scale of 1: 400,000,000 can be obtained as follows:
<P>
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<BR>
<PRE>
#!/bin/sh
# $Id: GMT_miller.sh,v 1.1 2001/03/21 04:10:21 pwessel Exp $
#
pscoast -R-90/270/-80/90 -Jj90/1:400000000 -B45g45/30g30 -Dc -A10000 -G200 -W0.25p -P \
> GMT_miller.ps
</PRE>
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<DIV ALIGN="CENTER"><A NAME="fig:GMT_miller"></A><A NAME="8843"></A>
<TABLE>
<CAPTION ALIGN="BOTTOM"><STRONG>Figure 5.25:</STRONG>
World map using the Miller cylindrical projection</CAPTION>
<TR><TD><IMG
WIDTH="544" HEIGHT="357" BORDER="0"
SRC="img87.gif"
ALT="\begin{figure}\centering\epsfig{figure=eps/GMT_miller.eps}\end{figure}"></TD></TR>
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<ADDRESS>
Paul Wessel
2001-04-18
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