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View Earth dry elevation.stl on viewstl.com
DescriptionEarth dry elevation.stl |
English: Earth without liquid water greatly exaggerated elevation model by CMG Lee using depthmap
File:Earth_dry_elevation.png generated from NASA Visible Earth
topography and
bathymetry data. |
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Date | ||||
Source | Own work | |||
Author | Cmglee | |||
Other versions |
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#!/usr/bin/env python
exaggeration = 10
header = ('Dry Earth %s-times-exaggerated elevation model by CMG Lee using NASA data.'
% (exaggeration))
path_png_alt = 'earth_dry_elevation.png' ## 1-channel equirectangular PNG
luma_datum = 141 ## image intensity level (of 0-255) of datum
radius_datum = 6378.137 ## mean radius of zero level in km
f_wgs84 = 1 / 298.257223563 ## WGS84 flattening factor
km_per_luma = (10.994 + 8.848) / 255 * exaggeration ## min and max elevations in km
scale = 1e-2 ## overall scale of model in km^-1
lat_offset = 5.0 / 8 ## rotation around planet axis in revolutions
n_division = 200 ## each cubic face divided into n_division^2 squares
class Png:
def __init__(self, path):
(self.width, self.height, self.pixels, self.metadatas) = png.Reader(path).read_flat()
def __str__(self): return str((self.width, self.height, len(self.pixels), self.metadatas))
import time, re, math, struct, png
time.start = time.time()
def log(string): print('%6.3fs\t%s' % (time.time() - time.start, string))
def fmt(string): ## string.format(**vars()) using tags {expression!format} by CMG Lee
def f(tag): i_sep = tag.rfind('!'); return (re.sub('\.0+$', '', str(eval(tag1:-1])))
if (i_sep < 0) else ('{:%s}' % tagi_sep + 1:-1]).format(eval(tag1:i_sep])))
return (re.sub(r'(?<!{){[^{}]+}', lambda m:f(m.group()), string)
.replace('{{', '{').replace('}}', '}'))
def append(obj, string): return obj.append(fmt(string))
def tabbify(cellss, separator='|'):
cellpadss = list(rows) + '' * (len(max(cellss, key=len)) - len(rows)) for rows in cellss
fmts = '%%%ds' % (max([len(str(cell)) for cell in cols])) for cols in zip(*cellpadss)]
return '\n'.join([separator.join(fmts) % tuple(rows) for rows in cellpadss])
def hex_rgb(colour): ## convert [#]RGB to #RRGGBB and [#]RRGGBB to #RRGGBB
return '#%s' % (colour if len(colour) > 4 else ''.join([c * 2 for c in colour])).lstrip('#')
def viscam_colour(colour):
colour_hex = hex_rgb(colour)
colour_top5bits = int(colour_hexi:i+2], 16) >> 3 for i in range(1,7,2)]
return (1 << 15) + (colour_top5bits0 << 10) + (colour_top5bits1 << 5) + colour_top5bits2
def roundm(x, multiple=1):
if (isinstance(x, tuple)): return tuple(roundm(list(x), multiple))
elif (isinstance(x, list )): return roundm(x_i, multiple) for x_i in x
else: return int(math.floor(float(x) / multiple + 0.5)) * multiple
def average(xs): return None if (len(xs) == 0) else float(sum(xs)) / len(xs)
def flatten(lss): return l for ls in lss for l in ls
def rotate(facetss, degs): ## around x then y then z axes
(deg_x,deg_y,deg_z) = degs
(sin_x,cos_x) = (math.sin(math.radians(deg_x)), math.cos(math.radians(deg_x)))
(sin_y,cos_y) = (math.sin(math.radians(deg_y)), math.cos(math.radians(deg_y)))
(sin_z,cos_z) = (math.sin(math.radians(deg_z)), math.cos(math.radians(deg_z)))
facet_rotatess = []
for facets in facetss:
facet_rotates = []
for i_point in range(4):
(x,y,z) = facets3 * i_point + i_xyz for i_xyz in range(3)]
if (x is None or y is None or z is None): facet_rotates += x,y,z
else:
(y,z) = (y * cos_x - z * sin_x, y * sin_x + z * cos_x) ## rotate about x
(x,z) = (x * cos_y + z * sin_y,-x * sin_y + z * cos_y) ## rotate about y
(x,y) = (x * cos_z - y * sin_z, x * sin_z + y * cos_z) ## rotate about z
facet_rotates += round(value, 9) for value in x,y,z]]
facet_rotatess.append(facet_rotates)
return facet_rotatess
def translate(facetss, ds): ## ds = (dx,dy,dz)
return facets[:3 + facets3 * i_point + i_xyz + dsi_xyz
for i_point in range(1,4) for i_xyz in range(3)] for facets in facetss
def flip(facetss): return facets[:3+facets6:9+facets3:6+facets9:] for facets in facetss
def cube_xyz_to_sphere_xyz(cube_xyzs):
(x,y,z) = float(xyz) for xyz in cube_xyzs
(x_squared,y_squared,z_squared) = (x * x,y * y,z * z)
return (x * (1 - (y_squared + z_squared) / 2 + y_squared * z_squared / 3) ** 0.5,
y * (1 - (x_squared + z_squared) / 2 + x_squared * z_squared / 3) ** 0.5,
z * (1 - (y_squared + x_squared) / 2 + y_squared * x_squared / 3) ** 0.5)
def xyz_to_lla(xyzs):
(x,y,z) = xyzs
alt = (x * x + y * y + z * z) ** 0.5
lon = math.atan2(y, x)
lat = math.asin(z / alt)
return (lat,lon,alt)
deg_90 = math.pi / 2
def find_alt(lat_lons, altss):
(lat,lon) = lat_lons
if (lat == deg_90): alt = average(altss 0])
elif (lat == -deg_90): alt = average(altss-1])
else:
(width,height) = (len(altss0]),len(altss))
x = (0.5 + lon / (deg_90 * 4) + lat_offset) * width
y = (0.5 - lat / (deg_90 * 2) ) * height
(x_int,y_int) = (int(x) , int(y) )
(x_dec,y_dec) = (x - x_int, y - y_int)
(x0,x1) = (x_int % width , (x_int + 1) % width )
(y0,y1) = (y_int % height, (y_int + 1) % height)
alt = ((altssy0][x0 * (1 - x_dec) + altssy1][x0 * x_dec) * (1 - y_dec) +
(altssy0][x1 * (1 - x_dec) + altssy1][x1 * x_dec) * y_dec)
# print(map(math.degrees, lat_lons), y,x, alt)
return alt
def radius_wgs84(lat):
if (lat in radius_wgs84.cachess): return radius_wgs84.cachesslat
(sin_lat, cos_lat) = (math.sin(lat), math.cos(lat))
ff = (1 - f_wgs84) ** 2
c = 1 / (cos_lat ** 2 + ff * sin_lat ** 2) ** 0.5
s = c * ff
radius_c_s_s = (radius_datum * c, radius_datum * s)
radius_wgs84.cachesslat = radius_c_s_s
return radius_c_s_s
radius_wgs84.cachess = {}
def lla_to_sphere_xyz(llas):
(lat,lon,alt) = llas
(sin_lat,sin_lon) = (math.sin(lat),math.sin(lon))
(cos_lat,cos_lon) = (math.cos(lat),math.cos(lon))
(radius_c, radius_s) = [(c_s_radius + alt * km_per_luma) * scale
for c_s_radius in radius_wgs84(lat)]
return (radius_c * cos_lat * cos_lon,radius_c * cos_lat * sin_lon,radius_s * sin_lat)
def xyz_alt_to_xyza(xyzs, altss):
(lat,lon,alt) = xyz_to_lla(xyzs)
alt = find_alt((lat,lon), altss)
lla_alts = list(lla_to_sphere_xyz((lat,lon,alt))), alt
return lla_alts
log("Read elevation data")
png_alt = Png(path_png_alt)
if (png_alt.metadatas'planes' != 1): print("%s not 1-channel PNG" % (path_png_alt)); sys.exit(1)
log(png_alt)
altss = [[png_alt.pixelspng_alt.width * y + x - luma_datum
for x in range(png_alt.width)] for y in range(png_alt.height)] ## altss[y][x]
log("Find vertices")
k = 2.0 / n_division
range_k = range(n_division + 1)
face_vertex_llassss = ## [0=top][i_y][i_x][xyz,alt]
[[xyz_alt_to_xyza((x*k-1,y*k-1, 1), altss) for y in range_k for x in range_k],
[[xyz_alt_to_xyza((x*k-1, -1,y*k-1), altss) for y in range_k for x in range_k],
[[xyz_alt_to_xyza(( 1,x*k-1,y*k-1), altss) for y in range_k for x in range_k],
[[xyz_alt_to_xyza((y*k-1,x*k-1, -1), altss) for y in range_k for x in range_k],
[[xyz_alt_to_xyza((y*k-1, 1,x*k-1), altss) for y in range_k for x in range_k],
[[xyz_alt_to_xyza(( -1,y*k-1,x*k-1), altss) for y in range_k for x in range_k],
log("Add facets") ## cube xyz -> ll(a) -> image xy -> a -> sphere xyz
facetss = []
for (i_face,face_vertex_llasss) in enumerate(face_vertex_llassss):
for v in range(n_division):
for u in range(n_division):
(xyz00, alt00) = face_vertex_llasssv ][u
(xyz01, alt01) = face_vertex_llasssv ][u + 1
(xyz10, alt10) = face_vertex_llasssv + 1][u
(xyz11, alt11) = face_vertex_llasssv + 1][u + 1
(xyz_m, alt_m) = xyz_alt_to_xyza([average(xyzs) for xyzs in zip(*(xyz00,xyz01,xyz10,xyz11))],
altss)
if (alt_m > max(alt00,alt01,alt10,alt11) or alt_m < min(alt00,alt01,alt10,alt11)):
facetss.append([None,0,0 + xyz_m + xyz00 + xyz10)
facetss.append([None,0,0 + xyz_m + xyz10 + xyz11)
facetss.append([None,0,0 + xyz_m + xyz11 + xyz01)
facetss.append([None,0,0 + xyz_m + xyz01 + xyz00)
else:
if (abs(alt00 - alt11) < abs(alt01 - alt10)):
facetss.append([None,0,0 + xyz00 + xyz10 + xyz11)
facetss.append([None,0,0 + xyz11 + xyz01 + xyz00)
else:
facetss.append([None,0,0 + xyz10 + xyz11 + xyz01)
facetss.append([None,0,0 + xyz01 + xyz00 + xyz10)
log("Calculate normals")
for facets in facetss:
if (facets0 is None or facets1 is None or facets2 is None):
us = facetsi_xyz + 9 - facetsi_xyz + 6 for i_xyz in range(3)]
vs = facetsi_xyz + 6 - facetsi_xyz + 3 for i_xyz in range(3)]
normals = us1*vs2 - us2*vs1], us2*vs0 - us0*vs2], us0*vs1 - us1*vs0]]
normal_length = sum([component * component for component in normals]) ** 0.5
facets[:3 = -round(component / normal_length, 10) for component in normals
# log(tabbify([['N%s' % (xyz ) for xyz in list('xyz')] +
# ['%s%d' % (xyz, n) for n in range(3) for xyz in list('XYZ')] + ['RGB']] + facetss))
log("Compile STL")
outss = ([[('STL\n\n%-73s\n\n' % (header[:73])).encode('utf-8'), struct.pack('<L',len(facetss))]] +
[[struct.pack('<f',float(value)) for value in facets[:12]] +
struct.pack('<H',0 if (len(facets) <= 12) else
viscam_colour(facets12]))] for facets in facetss])
out = b''.join([bytes(out) for outs in outss for out in outs])
# out += ('\n\n## Python script to generate STL\n\n%s\n' % (open(__file__).read())).encode('utf-8')
log("Write STL")
with open(__file__[:__file__.rfind('.')] + '.stl', 'wb') as f_out: f_out.write(out)
log("#bytes:%d\t#facets:%d\ttitle:\"%-73s\"" % (len(out), len(facetss), header[:73]))
The uploader of this file has agreed to the Wikimedia Foundation 3D patent license: This file and any 3D objects depicted in the file are both my own work. I hereby grant to each user, maker, or distributor of the object depicted in the file a worldwide, royalty-free, fully-paid-up, nonexclusive, irrevocable and perpetual license at no additional cost under any patent or patent application I own now or in the future, to make, have made, use, offer to sell, sell, import, and distribute this file and any 3D objects depicted in the file that would otherwise infringe any claims of any patents I hold now or in the future. Please note that in the event of any differences in meaning or interpretation between the original English version of this license and a translation, the original English version takes precedence. |
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Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 13:21, 15 April 2018 | 5,120 × 2,880 (27.66 MB) | Cmglee | Rotate to show the Himalayas and Mariana Trench in the thumbnail. | |
12:43, 15 April 2018 | 5,120 × 2,880 (27.63 MB) | Cmglee | User created page with UploadWizard |
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