Файл: Earth dry elevation.stl

#! / usr / bin / env pythonпреувеличение  =  20 заголовок  =  ( 'сухой земля % s шрифт Times-преувеличено модель рельефа с помощью CMG Ли с использованием данных НАСА.  %  ( преувеличение )) path_png_alt  =  'earth_dry_elevation.png'  ## 1-канальная равнопромежуточная PNG luma_datum  =  141  ## изображения уровень интенсивности (от 0 до 255  ) базы данных radius_datum =  6378.137  ## средний радиус нулевого уровня в км f_wgs84  =  1  /  298.257223563  ## Коэффициент выравнивания WGS84 km_per_luma  =  ( 10.994  +  8.848)  /  255  *  преувеличение  ## минимальная и максимальная высота в км scale  =  1e-2  ## общий масштаб модели в км ^ -1 lat_offset  =  5.0  /  8  ## вращение вокруг оси планеты в оборотах n_division  =  200  ## каждая кубическая грань разделен на n_division ^ 2 квадратовкласс  Png :  def  __init__ ( self ,  path ):  ( self . width ,  self . height ,  self . пикселей ,  self . metadatas )  =  png . Читатель ( путь ) . read_flat ()  def  __str__ ( self ):  return  str (( self . width ,  self . height , Len ( самостоятельно . пикселей ),  самостоятельно . метаданные )) время импорта ,  re ,  math ,  struct ,  время png . начало = время . time () def log ( string ): print ( ' % 6.3f s \ t % s ' % ( time . time () - time . start , string )) def fmt ( string ): ## string.format (** vars ()) с использованием тегов {expression! format} от CMG Lee            def f(tag): i_sep = tag.rfind('!'); return (re.sub('\.0+$', '', str(eval(tag[1:-1]))) if (i_sep < 0) else ('{:%s}' % tag[i_sep + 1:-1]).format(eval(tag[1: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_hex[i:i+2], 16) >> 3 for i in range(1,7,2)] return (1 << 15) + (colour_top5bits[0] << 10) + (colour_top5bits[1] << 5) + colour_top5bits[2]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)) * multipledef 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) = [facets[3 * 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_rotatessdef translate(facetss, ds): ## ds = (dx,dy,dz) return [facets[:3] + [facets[3 * i_point + i_xyz] + ds[i_xyz] for i_point in range(1,4) for i_xyz in range(3)] for facets in facetss]def flip(facetss): return [facets[:3]+facets[6:9]+facets[3:6]+facets[9:] 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 / 2def 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(altss[0]),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 = ((altss[y0][x0] * (1 - x_dec) + altss[y1][x0] * x_dec) * (1 - y_dec) + (altss[y0][x1] * (1 - x_dec) + altss[y1][x1] * x_dec) * y_dec) # print(map(math.degrees, lat_lons), y,x, alt) return altdef radius_wgs84(lat): if (lat in radius_wgs84.cachess): return radius_wgs84.cachess[lat] (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.cachess[lat] = radius_c_s_s return radius_c_s_sradius_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_altslog("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.pixels[png_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_divisionrange_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 xyzfacetss = []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_llasss[v ][u ] (xyz01, alt01) = face_vertex_llasss[v ][u + 1] (xyz10, alt10) = face_vertex_llasss[v + 1][u ] (xyz11, alt11) = face_vertex_llasss[v + 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 (facets[0] is None or facets[1] is None or facets[2] is None): us = [facets[i_xyz + 9] - facets[i_xyz + 6] for i_xyz in range(3)] vs = [facets[i_xyz + 6] - facets[i_xyz + 3] for i_xyz in range(3)] normals = [us[1]*vs[2] - us[2]*vs[1], us[2]*vs[0] - us[0]*vs[2], us[0]*vs[1] - us[1]*vs[0]] 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(facets[12]))] 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 ]))