convert projection "height" to scale for proj.4

[LorenDawe]

The projection "MAGNA_Bogota_DC_2005" has the following parameters:

False_Easting: 92334.879
False_Northing: 109320.965
Longitude_Of_Center: -74.14659166666668
Latitude_Of_Center: 4.680486111111112
Height: 2550.0
Linear Unit: Meter (1.0)

However, the projection library proj.4 does not support a height parameter as input,  rather the more standard TM parameter scale (k_0). Does anyone know how I would define the above projection in proj.4?

[MelitaKennedy]

Hi Loren, 

As far as I know, PROJ.4 hasn't implemented this map projection method yet. EPSG now has it, calling it "Colombia Urban", WKID:1052, so it would be relatively simple for someone to implement it. You might add an issue to the proj.4 GitHub repository.

It's very unusual and there's not really another projection like it that I know about. It actually has different x and y scaling so there isn't a single scale factor. 

Melita