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February 21, 2017 18:45
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This Gist is focused on converting decimal degrees length to meters (or vise versa) for a specific point on the globe. It is based on an approximation and only should be used as a general measurement (errors around 10 m).
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import numpy as np | |
def dd2meters(inPt,scale=0.1): | |
"""Function to convert decimal degrees to meters based on the approximation | |
given by: https://en.wikipedia.org/wiki/Geographic_coordinate_system | |
Args: | |
inPt (list or array): A Y,X point provided in geographic coordinates | |
in that order. | |
Keywords: | |
scale (int): Resolution of the raster value to covert into meters, | |
must be in decimal degrees. | |
Returns: | |
list: List of Y,X resolution values converted from meters to decimal degrees | |
""" | |
lat = inPt[0] #get latitude value | |
radLat = np.deg2rad(lat) #convert degree latitude to radians | |
a = 6378137 #radius of Earth in meters | |
ba = 0.99664719 #constant of b/a | |
ss = np.arctan(ba*np.tan(radLat)) #calculate the reduced latitude | |
#factor to convert meters to decimal degrees for X axis | |
xfct = (np.pi/180)*a*np.cos(ss) | |
#factor to convert meters to decimal degrees for Y axis | |
yfct = (111132.92-559.82*np.cos(2*radLat)+1.175*np.cos(4*radLat)- | |
0.0023*np.cos(6*radLat)) | |
#get meter resolution | |
y_meters = scale * yfct | |
x_meters = scale * xfct | |
#return list of converted resolution values | |
return [y_meters,x_meters] | |
def main(): | |
inPt = [75,0] | |
outScale = dd2meters(inPt) | |
print outScale | |
return | |
if __name__ == "__main__": | |
main() |
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import numpy as np | |
def meters2dd(inPt,scale=30): | |
"""Function to convert meters to decimal degrees based on the approximation | |
given by: https://en.wikipedia.org/wiki/Geographic_coordinate_system | |
Args: | |
inPt (list or array): A Y,X point provided in geographic coordinates | |
in that order. | |
Keywords: | |
scale (int): Resolution of the raster value to covert into decimal | |
degrees, must be in meters. | |
Returns: | |
list: List of Y,X resolution values converted from meters to decimal degrees | |
""" | |
lat = inPt[0] #get latitude value | |
radLat = np.deg2rad(lat) #convert degree latitude to radians | |
a = 6378137 #radius of Earth in meters | |
ba = 0.99664719 #constant of b/a | |
ss = np.arctan(ba*np.tan(radLat)) #calculate the reduced latitude | |
#factor to convert meters to decimal degrees for X axis | |
xfct = (np.pi/180)*a*np.cos(ss) | |
#factor to convert meters to decimal degrees for Y axis | |
yfct = (111132.92-559.82*np.cos(2*radLat)+1.175*np.cos(4*radLat)- | |
0.0023*np.cos(6*radLat)) | |
#get decimal degree resolution | |
ydd = scale / yfct | |
xdd = scale / xfct | |
#return list of converted resolution values | |
return [ydd,xdd] | |
def main(): | |
inPt = [75,0] | |
outScale = meters2dd(inPt) | |
print outScale | |
return | |
if __name__ == "__main__": | |
main() |
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