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I have set of lat long values and I want their equivalent in meters using Mercator projection in C#. Can you please post some sample code or api example of some library that does exactly this?

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2 Answers 2

up vote 4 down vote accepted

Here's some Python I wrote, which I am sure can be moved to C# quite easily:

# Ellipsoid model constants (actual values here are for WGS84) 
sm_a = 6378137.0 
sm_b = 6356752.314

def projLatLonToWorldMercator(lat,lon,isDeg=False):

 Converts a latitude/longitude pair to x and y coordinates in the
 World Mercator projection.

   lat   - Latitude of the point.
   lon   - Longitude of the point.
   isDeg - Whether the given latitude and longitude are in degrees. If False 
           (default) it is assumed they are in radians.

   x,y - A 2-element tuple with the World Mercator x and y values.

lon0 = 0
if isDeg:
    lat = projDegToRad(lat)
    lon = projDegToRad(lon)

x = sm_a*(lon-lon0)
y = sm_a*math.log((math.sin(lat)+1)/math.cos(lat))

return  x,y 

and you also need:

def projDegToRad(deg):
    return (deg / 180.0 * pi)

def projRadToDeg (rad):
    return (rad / pi * 180.0)
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Does this return answer in meters? Can I use the resulting coordinates to compute area in meter square of a rectangle? –  Hasan Khan Oct 3 '11 at 6:44
World Mercator is based on WGS84 and its Projected Bounds are : 20037508.3428, -15496570.7397, 20037508.3428, 18764656.2314 - So it's going to be a fairly simple formula to calculate the area; bear in mind there are negative values in there as well, so it's best to convert the differences between minx/maxx etc, not to try to use the native numbers, if you are calculating area. –  Hairy Oct 3 '11 at 6:51
What is sm_a in your code? Where are these bounds used in your formula? Again is the answer in meters? –  Hasan Khan Oct 3 '11 at 6:57
Sorry: `# Ellipsoid model constants (actual values here are for WGS84) # sm_a = 6378137.0 sm_b = 6356752.314 –  Hairy Oct 3 '11 at 6:58
Hairy you've not yet answered my question whether your function results are in meters. –  Hasan Khan Oct 3 '11 at 7:07

Here is an article that explains this really simply:

How to project a point from Geography to Web Mercator in C#

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I am sorry but your article doesn't explain anything. –  blah238 Mar 16 '12 at 7:08
Yeah, it just has the code to accomplish this. Sorry ... I thought this is what you were looking for. –  Khattab Mar 19 '12 at 7:07

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