LMAF: Lambert Conformal Conic Projection with Affine Post Process
This variation of the Lambert Conformal projection adds an Affine Transformation Post Processor to the normal Lambert Conformal algorithm. The Affine Transformation requires six parameters, and these are carried in coordinate system definitions as PARM2 through PARM7. The post processor uses an affine transformation defined as follows:
Xnew = A0 + A1 * Xold + A2 * Yold
Ynew = B0 + B1 * Xold + B2 * Yold
Note that in order for the inverse to function properly, the following condition is not allowed:
A1 * B2 == A2 * B1
Also note that by setting B2 equal to A1, and B1 equal to the complement of A2, one can obtain the Helmert or Similarity Transformation.
|
Parameter Name |
Description |
|
PARM1 |
Longitude, in degrees, on the central meridian. |
|
PARM2 |
A0 in Affine Transformation |
|
PARM3 |
B0 in Affine Transformation |
|
PARM4 |
A1 in Affine Transformation |
|
PARM5 |
A2 in Affine Transformation |
|
PARM6 |
B1 in Affine Transformation |
|
PARM7 |
B2 in Affine Transformation |
|
ORG_LAT |
Latitude, in degrees, of the origin of the projection |
|
SCL_RED |
The scale reduction to be applied. This is also known as the scale of the central meridian. |
|
MAP_SCL |
The scale of the coordinate system. This one factor must include the conversion from metres to coordinate system units, and the mapping scale to be applied. This factor is ignored during computation. |
|
X_OFF |
The false easting to be applied to all X coordinates, selected to cause all X coordinates within the coordinate system to be positive values of reasonable size. |
|
Y_OFF |
The false northing to be applied to all Y coordinates. |