![]() | ![]() | ![]() | Projections and coordinate grids |
Selecting the map projection is done by using the second
(from the left) menu-buttons on the bottom of the map window if the
map window is the main window, or the Projection
menu-button if
the lists window is the main window.
If a background image is to be loaded the projection and the datum should be set to the projection and datum used in the image (see above for the details on this). If there is no image, the map projection should be selected according to the map scale and the geometry of the region to be covered.
Projections can be either pre-defined or user-defined. There are a small set of pre-defined projections. Some of them admit particular cases, in the sense that they have parameters whose values can be fixed. The user may define such particular cases along with a coordinates grid associated to it.
Each projection has an associated coordinates grid that will be used as default position format for displaying the map cursor coordinates and when a waypoint is created from the map. This position format can be changed from the map window (menu-button near the cursor coordinates).
When defining a projection, the user may also define a new coordinates grid User-defined grids cannot have more than one zone.
User-defined projections and grids are automatically saved in a file in the GPSMan user directory, and will be loaded when GPSMan is started.
To define/change a projection
there are the appropriate entries under the Definitions
menu-button.
When defining a new projection, which is necessarily a particular case of a general projection, the user must select first the general projection to use, along with a name and short name. The short name is for internal use and will also serve as the coordinates grid name, if the user associates one to the new projection. The values of the projection parameters must be then given. The user may either associate to the new projection an existing grid, or create a new grid by selecting a distance unit (currently either metres or feet), by giving the values for the false easting and northing (for some projections these parameters are in fact the easting/northing of the false origin or of the projection centre), sensible bounds to the coordinates, and by choosing whether or not a fixed datum must be used with the grid. The bounds given will be used to check that the grid is not used outside its intended scope. All values of latitudes and longitudes must be given either in the datum of the grid if there is a fixed one, or in the datum being used for the map.
An user-defined grid cannot be forgot if it is currently associated to another projection or in use for displaying the map coordinates. Changing the definition of a user-defined grid may cause inconsistencies in previously projected data.
With the UTM/UPS (Universal Transverse Mercator/Universal Polar Stereographic) projection a single UTM zone is used, that of the first point displayed. Points in different zones will be projected into the same zone what may produce some deformation. There are no parameters that can be changed by the user.
The Transverse Mercator projection, also known as Gauss or Gauss-Kruegger projection, has 3 parameters: the latitude and longitude of the centre and the scale factor at the central meridian. The first two are computed as the averages of the latitudes/longitudes of the first points being mapped, while the third one has the default value of 0.9996 (used for UTM).
Particular cases of the Transverse Mercator projection are used in several maps. GPSMan pre-defines the following ones:
39.66666666666667
, central longitude
-8.13190611111111
, scale factor 1
. The datum to be used
is called "Lisboa".
Military
coordinates in these maps
correspond to a false easting of 200km and a false northing of
300km.
0
, central longitude in zones of 6 degrees centred
at 0
, 3
, 6
, 9
, 12
, and
15E
, scale factor 1
.
Coordinates
in the GKK grid have a false easting of z×1000 +
500 km, where z is the zone number.
49
, central longitude -2
, scale factor
0.9996012717
. The datum to be used is called "Ordnance
Survey Great Britain".
Coordinates
in this grid correspond to
a false easting of 400km and a false northing of 100km.
0
, central longitude -62
, scale factor
0.9995
. The datum to be used should be based on the "Clarke
1880" ellipsoid.
Coordinates
in this grid correspond to a false easting of 400km.
53.5
, central longitude -8
, scale factor
1.000035
. The datum to be used is called "Ireland 1965".
Coordinates
in this grid correspond to
a false easting of 200km and a false northing of 250km.
0
, central longitude 27
, scale factor
1
.
Coordinates
in this grid correspond to
a false northing of 500km. There is a single zone named 27E
.
0
, central longitude in zones of 6 degrees centred
at 21
, 24
, 27
, and 30E
, scale factor 1
.
Coordinates
in the KKJP grid have a false easting of z×1000 +
500 km, where z is the zone number.
0
, central longitude 15.808277777778
,
scale factor 1
.
Coordinates
in this grid correspond to
a false easting of 1500km.
0
, central longitude in 6 zones of 2 degrees centred
at 115
, 117
, ..., 125
, and
scale factor 0.9999
.
Coordinates
in the TWG grid have a false easting of 250km. This grid is usually
employed with either the "Hu-Tzu-Shan" datum (also known as "TWD67"), or
the "TWD97" datum (whose definition could not be found for inclusion in
GPSMan).
The Swiss Oblique Mercator projection
is a particular case of an Oblique Mercator projection, which in turn
differs from the Mercator and Transverse Mercator projections in that
the central line with true scale is neither the equator (as in the
Mercator), nor a meridian (as in the Transverse Mercator), and is
chosen to suit the region to be mapped. In the Swiss Oblique Mercator
this line has an azimuth of 90 degrees and contains the centre of the
projection. There are three parameters: the latitude and longitude of
the centre, and the scale factor, the default values being the
averages of latitudes and of longitudes of the first points to be
projected and 1, respectively.
The Swiss LV03 Grid projection is a particular case of the Swiss Oblique Mercator projection with centre at Bern, N46.9524055556, E7.43958333333 degrees in the "CH-1903" datum, and a scale factor of 1.
The Swiss LV03
grid
has false easting and northing of 600km and 200km, and use the
"CH-1903" datum.
The Lambert Conic Conformal projection
has two variants: single standard parallel (under the name
Lambert Conic Conf 1
in GPSMan), and two
standard parallels (called in GPSMan Lambert Conic Conf 2
).
The former has 3 parameters: the latitude and longitude of the centre and the scale factor at the natural origin. The first two are computed as the averages of the latitudes/longitudes of the first points being mapped, while the third one has the default value of 1 (corresponding to a tangent cone; a value of less than 1 stands for a secant cone).
The latter has 4 parameters: latitudes of the two standard parallels (along which the cone intersects the geoid) and of the false origin, and longitude of the false origin. The first two default to the extremes of latitudes of the first points being mapped, and the position of the false origin defaults to the average of the positions of these points.
The Iceland Grid projection
is a particular case of the Lambert Conic Conformal projection with 2
standard parallels at N64.75 and N64.25 degrees, and the "WGS 84"
datum.
The Iceland
grid
has a false origin at N65, W19 degrees, and a false easting and a
false northing of 500km.
The Mercator projection can be defined as a Lambert Conic Conformal projection either with the equator as its single standard parallel, or with the two standard parallels at equal North and South latitudes (i.e., symmetrical with respect to the equator).
This leads to two variants: single standard parallel (named in GPSMan
Mercator 1
), and two standard parallels (named in GPSMan
Mercator 2
).
The former has 2 parameters: the longitude of the centre and the scale factor at the natural origin. They are taken as the average of the longitudes of the first points being mapped, and as 1, respectively.
The latter has 3 parameters: the latitudes of one of the two standard parallels and of the false origin, and longitude of the false origin. The first default to the maximum of the absolute values of the latitudes of the first points being mapped, the position of the false origin defaults to the average of the positions of these points.
The Stereographic projection is an azimuthal conformal projection used both for large scale and small scale mapping. There are 3 possible aspects: polar, oblique and equatorial, which are dealt with automatically by GPSMan. A particular case of this projection is the Universal Polar Stereographic that is used in the UTM/UPS.
The Stereographic projection has three parameters: the latitude and the longitude of the centre (tangent point) and a scale factor. By default the scale factor is 1 and the coordinates of the centre are taken as the average of the latitudes of the first points to be mapped.
The Schreiber double projection
is a variant of the Stereographic projection, in which each point in the
ellipsoid is first projected in a sphere and the resulting point
projected in a plane that intersects the sphere. This projection must
be used with a datum based on the "Bessel 1841" ellipsoid, usually the
"Rijks Driehoeksmeting" datum. If the given datum is for a different
ellipsoid, GPSMan will change the datum to "Rijks Driehoeksmeting".
All parameters for this projection are fixed: the centre is at N52 09 22.178
E5 23 15.5 in the "Rijks Driehoeksmeting" datum
(coordinates of the Amersfoot OLV church), the scale factor is
0.9999079, and the constants for the conversions between the
isometric latitudes in the ellipsoid and in the sphere are
n=1.00047585668 and m=0.003773953832.
The Netherlands
grid
uses the Schreiber dual projection with a false easting of 155km and a false
northing of 463km, and the "Rijks Driehoeksmeting" datum. Acceptable
ranges of values are: 0-290000 for x, 290000-630000 for y,
50.3-53.45 for latitude, and 3-7.45 for longitude.
The Cassini-Soldner projection is a neither conformal nor equal-area projection used in the 19th century. It is still used for mapping areas with a small E-W extent. Scale is true along a central meridian and distortion increases significantly with distance from it. It has two parameters: the latitude and the longitude of the natural origin. These parameters are taken as the averages of the latitudes and longitudes of the first points being mapped.
The American Polyconic projection is also a neither conformal nor equal-area projection used before the computer era. It has a single parameter: the standard latitude, whose default value is taken as the average of the latitudes of the first points to be mapped.
mig_at_ncc.up.pt
, DCC-FC & LIACC,
Universidade do Porto, 2003![]() | ![]() | ![]() | Projections and coordinate grids |