File:Vesuvius SRTM3.png

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Description
English: Shaded terrain map of the Naples and Mount Vesuvius region from SRTM3 elevation data. Each pixel corresponds to about 70x70 m. SRTM tile used was http://dds.cr.usgs.gov/srtm/version2_1/SRTM3/Eurasia/N40E014.hgt.zip. The top of the image is 41°N, the left side is 14°E.


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Date
Source Own work
Author Morn the Gorn
compass rose from Maps_template-fr.svg: Eric Gaba (Sting - fr:Sting)
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Derivative works of this file:

This file was derived from: Vesuvius SRTM3.xcf

Code edit

SRTM data was plotted with the following Python 2 script (requires Python Imaging Library and NumPy) and then rescaled in Gimp to correct for the raw data aspect ratio at that latitude (about 92 m x 70 m). Terrain shading and hypsometric colors were combined in Gimp in layer multiply mode.

# Read SRTM3 file and create shaded relief

# 2010-04-05

from struct import unpack,calcsize

from numpy import *
import numpy as np
from PIL import Image

row_length = 1201	# row_length is 1201 for SRTM3 or 3601 for SRTM1
file_name  = "N40E014.hgt"	# from http://dds.cr.usgs.gov/srtm/version2_1/SRTM3/Eurasia/
hlim       = 800	# height limit for map [m]

ref_lat    = 40.55	# reference latitude
earth_eq   = 6371. * 1000. * 2. * pi
x_scale    = 1./360.*earth_eq*cos(ref_lat/180.*pi)/row_length
y_scale    = 1./360.*earth_eq/row_length

print "1 pixel = %u * %u m" % (x_scale, y_scale)
print "factor", y_scale/x_scale

h = zeros((row_length, row_length))
f = open(file_name, 'r')
li = []

for j in range(row_length):
	for i in range(row_length):
		d = f.read(2)
		(height,) = unpack('>h', d)
		h[i,j] = height
		if height < -1000:
			li.append((i,j))

hmax = h.max()
h3 = zeros_like(h)
h3[:,:] = h[:,:]
print len(li), "missing data points"

def get_nei(z):
	h2 = h[z[0]-1:z[0]+2,z[1]-1:z[1]+2]
	nn = sum(where(h2 < -1000, 0, 1))
	av = sum(where(h2 > -1000, h2, 0)) / float(nn)
	return nn, av

# fill missing points with a nearest-neighbor averaging method:
loop = len(li)
lim = 7
while loop > 0:
	sd = False
	for q in range(len(li)):
		if h[li[q]] > -1000.: continue
		n, a = get_nei(li[q])
		if n >= lim:
			print li[q],loop, n, a, lim
			h3[li[q]] = a
			loop -= 1
			sd = True
	if not sd: lim -= 1
	h[:,:] = h3[:,:]
print "missing points done"	

def hext(a):
	"Hex color to triplet."
	r,g,b = a[0:2], a[2:4], a[4:6]
	return int(r, 16), int(g, 16), int(b, 16)

# from http://en.wikipedia.org/wiki/Wikipedia:WikiProject_Maps/Conventions/Topographic_maps:
col_sea = hext("0978ab")
cols = """
{{Mapcolor|r=245|v=244|b=242|hex=#F5F4F2|col=black}}
{{Mapcolor|r=224|v=222|b=216|hex=#E0DED8|col=black}}
{{Mapcolor|r=202|v=195|b=184|hex=#CAC3B8|col=black}}
{{Mapcolor|r=186|v=174|b=154|hex=#BAAE9A|col=black}}
{{Mapcolor|r=172|v=154|b=124|hex=#AC9A7C|col=black}}
{{Mapcolor|r=170|v=135|b=83|hex=#AA8753|col=black}}
{{Mapcolor|r=185|v=152|b=90|hex=#B9985A|col=black}}
{{Mapcolor|r=195|v=167|b=107|hex=#C3A76B|col=black}}
{{Mapcolor|r=202|v=185|b=130|hex=#CAB982|col=black}}
{{Mapcolor|r=211|v=202|b=157|hex=#D3CA9D|col=black}}
{{Mapcolor|r=222|v=214|b=163|hex=#DED6A3|col=black}}
{{Mapcolor|r=232|v=225|b=182|hex=#E8E1B6|col=black}}
{{Mapcolor|r=239|v=235|b=192|hex=#EFEBC0|col=black}}
{{Mapcolor|r=225|v=228|b=181|hex=#E1E4B5|col=black}}
{{Mapcolor|r=209|v=215|b=171|hex=#D1D7AB|col=black}}
{{Mapcolor|r=189|v=204|b=150|hex=#BDCC96|col=black}}
{{Mapcolor|r=168|v=198|b=143|hex=#A8C68F|col=black}}
{{Mapcolor|r=148|v=191|b=139|hex=#94BF8B|col=black}}
{{Mapcolor|r=172|v=208|b=165|hex=#ACD0A5|col=black}}
"""
col = []

for l in cols.splitlines():
	if len(l) < 10: continue
	i = l.find('#')
	if i > -1:
		col.append(hext(l[i+1:i+7]))

col.reverse()	# -> bottom to top

o = Image.new('RGB', h.shape)

def interp(c, f):
	"Interpolate into color table."
	r = int((1.-f) * col[c][0] + f * col[c+1][0])
	g = int((1.-f) * col[c][1] + f * col[c+1][1])
	b = int((1.-f) * col[c][2] + f * col[c+1][2])
	return r,g,b

for j in range(row_length):
	for i in range(row_length):
		c, f = divmod(h[j,i] / hmax * (len(col)-1), 1)
		if 0 < h[j,i] < hmax:
			o.putpixel((j,i), interp(int(c), f))
		elif h[i,j] == hmax:
			o.putpixel((j,i), col[-1])
		else: o.putpixel((j,i), col_sea)

o.save("map_height.png")	# save height map
o2 = o.crop((0,0,942,603))
o2.save("map_height_cropped.png")

# taken from hillshade.py:
#def illumination(idata,azdeg=315.0,altdeg=45.):
def illumination(idata,azdeg=225.0,altdeg=45.):
    # convert alt, az to radians
    az = azdeg*np.pi/180.0
    alt = altdeg*np.pi/180.0
    # gradient in x and y directions
    dx, dy = np.gradient(idata)
    slope = 0.5*np.pi - np.arctan(np.hypot(dx, dy))
    aspect = np.arctan2(dx, dy)
    odata = np.sin(alt)*np.sin(slope) + np.cos(alt)*np.cos(slope)*np.cos(-az -\
             aspect - 0.5*np.pi)
    # rescale to interval -1,1
    # 1 means maximum sun exposure and 0 means complete shade.
    odata = (odata - odata.min())/(odata.max() - odata.min())
    return odata

il = 255 * illumination(h)

o4 = Image.new('RGBA', il.shape)
for j in range(row_length-1):
	for i in range(row_length-1):
		v = int(il[j,i])
		if 0 <= v < 128:
			alpha = (255 - 2*v)
			o4.putpixel((j,i), (0,0,0,alpha))
		elif v == 128:
			o4.putpixel((j,i), (0,0,0,0))
		elif 128 < v < 256:
			alpha = 2*(v-128)
			o4.putpixel((j,i), (255,255,255,alpha))
		else:
			o4.putpixel((j,i), (255,255,255,0))
o4.save("il_NW_alpha.png")	# NW-illuminated (alpha transparency for use with Inkscape)

Licensing edit

I, the copyright holder of this work, hereby publish it under the following licenses:
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attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
You are free:
  • to share – to copy, distribute and transmit the work
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Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
You may select the license of your choice.
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File history

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Date/TimeThumbnailDimensionsUserComment
current01:01, 5 April 2010Thumbnail for version as of 01:01, 5 April 2010942 × 794 (922 KB)Morn (talk | contribs)corrected color of a lake
00:56, 5 April 2010Thumbnail for version as of 00:56, 5 April 2010942 × 794 (1.01 MB)Morn (talk | contribs)removed artifacts in shadows
19:06, 4 April 2010Thumbnail for version as of 19:06, 4 April 2010942 × 794 (908 KB)Morn (talk | contribs)compass rose
14:49, 4 April 2010Thumbnail for version as of 14:49, 4 April 2010942 × 794 (899 KB)Morn (talk | contribs)removed slight banding in the water
14:41, 4 April 2010Thumbnail for version as of 14:41, 4 April 2010942 × 794 (904 KB)Morn (talk | contribs)color version
12:18, 4 April 2010Thumbnail for version as of 12:18, 4 April 2010942 × 794 (750 KB)Morn (talk | contribs)scale
20:55, 3 April 2010Thumbnail for version as of 20:55, 3 April 2010942 × 794 (652 KB)Morn (talk | contribs){{Information |Description={{en|1=Shaded terrain image of the Naples and Mount Vesuvius region from SRTM3 data. Each pixel corresponds to about 70x70 m.}} |Source={{own}} |Author=Morn the Gorn |Date=2010-03-04 |Permission= |other_ve

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