Source code for ClearMap.Visualization.Color

# -*- coding: utf-8 -*-
"""
Color
=====

Provides tools for color manipulation.

Note
----
All numerical color values are by default returned in the range [0,1].
"""
__author__    = 'Christoph Kirst <christoph.kirst.ck@gmail.com>'
__license__   = 'GPLv3 - GNU General Pulic License v3 (see LICENSE)'
__copyright__ = 'Copyright © 2020 by Christoph Kirst'
__webpage__   = 'http://idisco.info'
__download__  = 'http://www.github.com/ChristophKirst/ClearMap2'


import numpy as np

import vispy as vp
import vispy.color as vpc

import matplotlib as mpl
import matplotlib.pyplot as plt
import matplotlib.colors as mpc


###############################################################################
### Color manipulation
###############################################################################


[docs]def color(arg, alpha = None, as_int = False, int_type = int): """Converts color arguent to rgb values Arguments --------- arg : object Color specifiction, e.g. a rgb tuple, color name from matplotlib or vispy, hex code alpha : None, bool or float Include the alpha value in the rgb tuple. If None and an alpha value exists, it is kept, otherwise it is not included. If False the alpha value is not included. If True, the alpha value is included and set to 1 in case its not given in the input. as_int : bool If True, return colors as integers in range 0 to 255. Returns ------- rgb : list of float or int RBG or RGBA values for the colors. """ if isinstance(arg, (list, tuple, np.ndarray)): carray = np.asarray(arg); if alpha is None and carray.shape[-1] == 4: alpha = True; if carray.ndim > 1: return np.array([color(c, alpha=alpha, as_int=as_int, int_type=int_type) for c in arg]); try: c = vpc.Color(arg); if alpha is False or alpha is None: c = c.rgb; else: c = c.rgba; if alpha is not True: c[-1] = alpha; if as_int: c = np.asarray(255 * c, dtype = int_type); return c; except: pass; try: if alpha is False or alpha is None: c = mpl.colors.to_rgb(arg); else: c = mpl.colors.to_rgba(arg); if alpha is not True: c[-1] = alpha; if as_int: c = np.asarray(255 * c, dtype = int_type); return c; except: raise RuntimeError('Color %r not a valid color specification!' % arg);
[docs]def hex_to_rgb(color, alpha = None, as_int = False): """Return rgb color from hex code Arguments --------- color : string Hex code of the color alpha : None, bool, int or float Include the alpha value in the rgb tuple. If None the alpha value is included if given in the hex code, if False no alpha value is given, if True the alpha value is included and set to 1 in case its not given in the input. as_int : bool If True return colors as integers in range 0 to 255. Returns ------- rgb : list of float or int RBG or RGBA values for the colors. """ if not isinstance(color, str) or len(color) not in [6,7,8,9]: raise ValueError('Color argument expected to be a valid hex string, found %r!' % color); c = color.lstrip('#'); if len(c) == 8: c = [int(c[i:i+2], 16) for i in (0, 2 ,4, 6)]; rgb = c[:-1]; a = c[-1]; else: rgb = [int(c[i:i+2], 16) for i in (0, 2 ,4)]; a = 255; if not as_int: rgb = np.array(rgb, dtype = float); rgb = rgb / 255; a = float(a) / 255; if alpha is None: return rgb; elif alpha is True: return np.hstack((rgb,a)); else: return np.hstack((rgb,alpha));
[docs]def rgb_to_hex(rgb, alpha = None, as_int = False): """Return hex code from rgb or rgba colors Arguments --------- color : tuple of int or float Hex code of the color alpha : None, bool or float Include the alpha value in the rgb tuple as_int : bool If True return colors as integers in range 0 to 255. Returns ------- rgb : list of float or int RBG or RGBA values for the colors. """ if not hasattr(rgb, '__len__') or len(rgb) not in [3,4]: raise ValueError('Color argument expected to be a valid rgb or rgba tuple, found %r!' % rgb); if len(rgb) == 3: r,g,b = rgb; if as_int: a = 255; else: a = 1.0; else: r,g,b,a = rgb; if not as_int: r,g,b,a = [int(255*x) for x in (r,g,b,a)]; if alpha is None: return '#%02x%02x%02x' % (r, g, b); elif alpha is True: return '#%02x%02x%02x%02x' % (r, g, b, a); else: if as_int: a = alpha; else: a = int(255*alpha); return '#%02x%02x%02x%02x' % (r, g, b, a);
############################################################################### ### Color Maps ###############################################################################
[docs]def colormap(cmap = None, alpha = True, as_int = False, int_type = int): """Convert argument to a color map function. Arguments --------- cmap : None, string, tuple or list of colors Color map specification. If a tuple is given a colormap that linearly interpolates is returned. alpha : None, bool, int or float Include the alpha value in the color map. as_int : bool If True return color maps as integers in range 0 to 255. int_type : dtype The type to use for integer color maps. Returns ------- cmap : function A color map function that maps floats in [0,1] to a RBG or RGBA tuples. """ # default color map if cmap is None: return colormap('gray'); # linearly interpolated color maps if isinstance(cmap, (list, tuple, np.ndarray)): cols = [color(a) for a in cmap]; cmap = vpc.Colormap(cols, interpolation = 'linear'); return colormap(cmap, alpha = alpha, as_int = as_int); # vispy color maps cmps = vpc.get_colormaps() if isinstance(cmap, str) and cmap in cmps.keys(): cmap = vpc.colormap.get_colormap(cmap); if isinstance(cmap, vp.color.BaseColormap): if alpha is False or alpha is None: if as_int: def cm(x): return np.array(255*cmap.map(np.array(x))[:,:3], dtype = int_type); else: def cm(x): return cmap.map(np.array(x))[:,:3]; elif alpha is True: if as_int: def cm(x): return np.array(255*cmap.map(np.array(x)), dtype = int_type); else: def cm(x): return cmap.map(np.array(x)); else: if as_int: def cm(x): c = np.array(255 * cmap.map(np.array(x)), dtype = int_type); c[:,-1] = alpha; return c; else: def cm(x): c = cmap.map(np.array(x)); c[:,-1] = alpha; return c; return cm # matplotlib color maps if isinstance(cmap, str) and cmap in plt.cm.cmap_d.keys(): cmap = plt.get_cmap(cmap); if isinstance(cmap, str) and cmap in colormaps: cmap = colormaps[cmap]; if isinstance(cmap, mpl.colors.Colormap): if alpha is False or alpha is None: if as_int: def cm(x): return np.array(255*cmap(np.array(x))[:,:3], dtype = int_type); else: def cm(x): return cmap(np.array(x))[:,:3]; elif alpha is True: if as_int: def cm(x): return np.array(255 * cmap(np.array(x)), dtype = int_type); else: def cm(x): return cmap(np.array(x)); else: if as_int: def cm(x): c = np.array(255*cmap(np.array(x)), dtype = int_type); c[:,-1] = alpha; return c; else: def cm(x): c = cmap(np.array(x)); c[:,-1] = alpha; return c; return cm # custom color maps if cmap in ['boys', 'orientation', orientation_to_boys, orientation_to_rgb]: if cmap == 'boys': cmap = orientation_to_boys; elif cmap == 'orientation': cmap = orientation_to_rgb; if alpha is False or alpha is None: if as_int: def cm(x): return np.array(255*cmap(np.array(x)), dtype = int); else: def cm(x): return cmap(np.array(x))[:,:3]; elif alpha is True: if as_int: def cm(x): return np.array(255 * cmap(np.array(x)), dtype = int); else: def cm(x): return cmap(np.array(x)); else: if as_int: def cm(x): c = np.array(255*cmap(np.array(x)), dtype = int); c[:,-1] = alpha; return c; else: def cm(x): c = cmap(np.array(x)); c[:,-1] = alpha; return c; else: raise RuntimeError('Colormap specification %r is invalid!' % cmap);
color_map = colormap # special color maps
[docs]def orientation_to_boys(orientations, alpha = None, as_int = False): """Colormap mapping 3d orientation vectors into rgb colors. Arguments --------- orientations : array List of 3d vectors as nx3 array alpha : None, bool, int or float Include the alpha value in the color map. as_int : bool If True return color maps as integers in range 0 to 255. Returns ------- colors : array RGB colors for the oreitnation vectors according to Boys coloring. Note ---- The Boys color map is a smooth way of coloring orientations. """ def _cc(na, nd): return (na * np.cos(nd * np.pi / 180.0)) def _ss(na, nd): return na * np.sin(nd * np.pi / 180.0); x = orientations[:,0] y = orientations[:,1] z = orientations[:,2] x2 = x ** 2 y2 = y ** 2 z2 = z ** 2 x3 = x * x2 y3 = y * y2 z3 = z * z2 z4 = z * z2 xy = x * y xz = x * z yz = y * z hh1 = .5 * (3 * z2 - 1) / 1.58 hh2 = 3 * xz / 2.745 hh3 = 3 * yz / 2.745 hh4 = 1.5 * (x2 - y2) / 2.745 hh5 = 6 * xy / 5.5 hh6 = (1 / 1.176) * .125 * (35 * z4 - 30 * z2 + 3) hh7 = 2.5 * x * (7 * z3 - 3 * z) / 3.737 hh8 = 2.5 * y * (7 * z3 - 3 * z) / 3.737 hh9 = ((x2 - y2) * 7.5 * (7 * z2 - 1)) / 15.85 hh10 = ((2 * xy) * (7.5 * (7 * z2 - 1))) / 15.85 hh11 = 105 * (4 * x3 * z - 3 * xz * (1 - z2)) / 59.32 hh12 = 105 * (-4 * y3 * z + 3 * yz * (1 - z2)) / 59.32 s0 = -23.0 s1 = 227.9 s2 = 251.0 s3 = 125.0 ss23 = _ss(2.71, s0) cc23 = _cc(2.71, s0) ss45 = _ss(2.12, s1) cc45 = _cc(2.12, s1) ss67 = _ss(.972, s2) cc67 = _cc(.972, s2) ss89 = _ss(.868, s3) cc89 = _cc(.868, s3) X = 0.0 X = X + hh2 * cc23 X = X + hh3 * ss23 X = X + hh5 * cc45 X = X + hh4 * ss45 X = X + hh7 * cc67 X = X + hh8 * ss67 X = X + hh10 * cc89 X = X + hh9 * ss89 Y = 0.0 Y = Y + hh2 * -ss23 Y = Y + hh3 * cc23 Y = Y + hh5 * -ss45 Y = Y + hh4 * cc45 Y = Y + hh7 * -ss67 Y = Y + hh8 * cc67 Y = Y + hh10 * -ss89 Y = Y + hh9 * cc89 Z = 0.0 Z = Z + hh1 * -2.8 Z = Z + hh6 * -0.5 Z = Z + hh11 * 0.3 Z = Z + hh12 * -2.5 # scale and normalize to fit # in the rgb space w_x = 4.1925 trl_x = -2.0425 w_y = 4.0217 trl_y = -1.8541 w_z = 4.0694 trl_z = -2.1899 if alpha is None or alpha is False: C = np.zeros((3,) + x.shape); elif alpha is True: C = np.ones((4,) + x.shape); else: C = np.ones((4,) + x.shape); C[3] = 1.0; C[0] = 0.9 * np.abs(((X - trl_x) / w_x)) + 0.05 C[1] = 0.9 * np.abs(((Y - trl_y) / w_y)) + 0.05 C[2] = 0.9 * np.abs(((Z - trl_z) / w_z)) + 0.05 ids = np.logical_and(x == 0, np.logical_and(y == 0, z == 0)); C[:,ids] = 0; C = np.moveaxis(C, 0, -1); if as_int: C = np.array(255 * C, dtype = int); return C;
[docs]def orientation_to_rgb(orientation, alpha = None, as_int = False): """Color map mapping 3d orientation vectors into rgb colors using normalized coordinates. Arguments --------- orientations : array List of 3d vectors as nx3 array alpha : None, bool, int or float Include the alpha value in the color map. as_int : bool If True return color maps as integers in range 0 to 255. Returns ------- colors : array RGB colors for the orientation vectors according to standard coloring. Note ---- This color map is not continous. """ rgb = np.asarray(orientation, dtype = float); rgb = np.abs(rgb.T / np.linalg.norm(rgb, axis = 1)).T; if alpha is None or alpha is False: if as_int: return np.array(255*rgb, dtype = int); else: return rgb; else: if alpha is True: alpha = 1.0; rgb = np.concatenate([rgb, alpha * np.ones((len(rgb),1))], axis = 1); if as_int: return np.array(255*rgb, dtype = int); else: return rgb;
_twilight_data = [ [0.88575015840754434, 0.85000924943067835, 0.8879736506427196], [0.88378520195539056, 0.85072940540310626, 0.88723222096949894], [0.88172231059285788, 0.85127594077653468, 0.88638056925514819], [0.8795410528270573, 0.85165675407495722, 0.8854143767924102], [0.87724880858965482, 0.85187028338870274, 0.88434120381311432], [0.87485347508575972, 0.85191526123023187, 0.88316926967613829], [0.87233134085124076, 0.85180165478080894, 0.88189704355001619], [0.86970474853509816, 0.85152403004797894, 0.88053883390003362], [0.86696015505333579, 0.8510896085314068, 0.87909766977173343], [0.86408985081463996, 0.85050391167507788, 0.87757925784892632], [0.86110245436899846, 0.84976754857001258, 0.87599242923439569], [0.85798259245670372, 0.84888934810281835, 0.87434038553446281], [0.85472593189256985, 0.84787488124672816, 0.8726282980930582], [0.85133714570857189, 0.84672735796116472, 0.87086081657350445], [0.84780710702577922, 0.8454546229209523, 0.86904036783694438], [0.8441261828674842, 0.84406482711037389, 0.86716973322690072], [0.84030420805957784, 0.8425605950855084, 0.865250882410458], [0.83634031809191178, 0.84094796518951942, 0.86328528001070159], [0.83222705712934408, 0.83923490627754482, 0.86127563500427884], [0.82796894316013536, 0.83742600751395202, 0.85922399451306786], [0.82357429680252847, 0.83552487764795436, 0.85713191328514948], [0.81904654677937527, 0.8335364929949034, 0.85500206287010105], [0.81438982121143089, 0.83146558694197847, 0.85283759062147024], [0.8095999819094809, 0.82931896673505456, 0.85064441601050367], [0.80469164429814577, 0.82709838780560663, 0.84842449296974021], [0.79967075421267997, 0.82480781812080928, 0.84618210029578533], [0.79454305089231114, 0.82245116226304615, 0.84392184786827984], [0.78931445564608915, 0.82003213188702007, 0.8416486380471222], [0.78399101042764918, 0.81755426400533426, 0.83936747464036732], [0.77857892008227592, 0.81502089378742548, 0.8370834463093898], [0.77308416590170936, 0.81243524735466011, 0.83480172950579679], [0.76751108504417864, 0.8098007598713145, 0.83252816638059668], [0.76186907937980286, 0.80711949387647486, 0.830266486168872], [0.75616443584381976, 0.80439408733477935, 0.82802138994719998], [0.75040346765406696, 0.80162699008965321, 0.82579737851082424], [0.74459247771890169, 0.79882047719583249, 0.82359867586156521], [0.73873771700494939, 0.79597665735031009, 0.82142922780433014], [0.73284543645523459, 0.79309746468844067, 0.81929263384230377], [0.72692177512829703, 0.7901846863592763, 0.81719217466726379], [0.72097280665536778, 0.78723995923452639, 0.81513073920879264], [0.71500403076252128, 0.78426487091581187, 0.81311116559949914], [0.70902078134539304, 0.78126088716070907, 0.81113591855117928], [0.7030297722540817, 0.77822904973358131, 0.80920618848056969], [0.6970365443886174, 0.77517050008066057, 0.80732335380063447], [0.69104641009309098, 0.77208629460678091, 0.80548841690679074], [0.68506446154395928, 0.7689774029354699, 0.80370206267176914], [0.67909554499882152, 0.76584472131395898, 0.8019646617300199], [0.67314422559426212, 0.76268908733890484, 0.80027628545809526], [0.66721479803752815, 0.7595112803730375, 0.79863674654537764], [0.6613112930078745, 0.75631202708719025, 0.7970456043491897], [0.65543692326454717, 0.75309208756768431, 0.79550271129031047], [0.64959573004253479, 0.74985201221941766, 0.79400674021499107], [0.6437910831099849, 0.7465923800833657, 0.79255653201306053], [0.63802586828545982, 0.74331376714033193, 0.79115100459573173], [0.6323027138710603, 0.74001672160131404, 0.78978892762640429], [0.62662402022604591, 0.73670175403699445, 0.78846901316334561], [0.62099193064817548, 0.73336934798923203, 0.78718994624696581], [0.61540846411770478, 0.73001995232739691, 0.78595022706750484], [0.60987543176093062, 0.72665398759758293, 0.78474835732694714], [0.60439434200274855, 0.7232718614323369, 0.78358295593535587], [0.5989665814482068, 0.71987394892246725, 0.78245259899346642], [0.59359335696837223, 0.7164606049658685, 0.78135588237640097], [0.58827579780555495, 0.71303214646458135, 0.78029141405636515], [0.58301487036932409, 0.70958887676997473, 0.77925781820476592], [0.5778116438998202, 0.70613106157153982, 0.77825345121025524], [0.5726668948158774, 0.7026589535425779, 0.77727702680911992], [0.56758117853861967, 0.69917279302646274, 0.77632748534275298], [0.56255515357219343, 0.69567278381629649, 0.77540359142309845], [0.55758940419605174, 0.69215911458254054, 0.7745041337932782], [0.55268450589347129, 0.68863194515166382, 0.7736279426902245], [0.54784098153018634, 0.68509142218509878, 0.77277386473440868], [0.54305932424018233, 0.68153767253065878, 0.77194079697835083], [0.53834015575176275, 0.67797081129095405, 0.77112734439057717], [0.53368389147728401, 0.67439093705212727, 0.7703325054879735], [0.529090861832473, 0.67079812302806219, 0.76955552292313134], [0.52456151470593582, 0.66719242996142225, 0.76879541714230948], [0.52009627392235558, 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0.86979617048190971], [0.88369127145898041, 0.84764891761519268, 0.87274147101441557], [0.88432713054113543, 0.84844741572055415, 0.87556785228242973], [0.88485138159908572, 0.84908426422893801, 0.87828235285372469], [0.88525897972630474, 0.84955892810989209, 0.88088414794024839], [0.88554714811952384, 0.84987174283631584, 0.88336206121170946], [0.88571155122845646, 0.85002186115856315, 0.88572538990087124]]; colormaps = {name : mpc.ListedColormap(data, name=name) for name, data in (('twilight', _twilight_data),)}; ############################################################################### ### Utility and Lookup tables ###############################################################################
[docs]def lighter(arg, fraction = 0.3): col = color(arg); delta = np.ones(3) - col[...,:3]; col[...,:3] = col[...,:3] + fraction * delta; return col;
[docs]def darker(arg, fraction = 0.3): col = color(arg); col[...,:3] = col[...,:3] * fraction; return col;
[docs]def rgb_LUT(): """Returns a lookup table listing all integer rgb colors Note ---- Useful to color data and plot in imagej. """ xl = np.mgrid[0:256, 0:256, 0:256] lut = np.vstack((xl[0].reshape(1, 256**3), xl[1].reshape(1, 256**3), xl[2].reshape(1, 256**3), 255 * np.ones((1, 256**3)))).T return lut.astype('int32')
[docs]def rgb_to_LUT(rgb): """Converts the rgb colors to the index color in the full rgb color look up table Arguments --------- rgb : array Integer rgb values as nX3 array Returns ------- index : array The indices of the rgb values in the full rgb LUT. """ r,g,b = rgb.T; return 256**2 * r + 256 * g + b
[docs]def write_LUT(filename, colors): """Write a lut lookup table file from a list of colors for use with imagej Arguments --------- filename : str file name of the lookup table colors : array Colors as nX3 array to write to te ookup table Returns ------- filename : str Filename of the lookup table. """ with open(filename, 'w') as f: for c in colors: f.write(('%d' % c[0]).rjust(4) + ('%d' % c[1]).rjust(5) + ('%d' % c[2]).rjust(5)); f.write('\n'); f.close(); return filename;
[docs]def write_PAL(filename, colors): """Write a pal pallette file from a list of colors for use with e.g. imaris Arguments --------- filename : str file name of the lookup table colors : array Colors as nX3 array to write to te ookup table Returns ------- filename : str Filename of the lookup table. """ with open(filename, 'w') as f: for c in colors: f.write(('%3.3f' % c[0]).rjust(10) + ('%3.3f' % c[1]).rjust(11) + ('%3.3f' % c[2]).rjust(11)); f.write('\n'); f.close(); return filename;
############################################################################### ### Tests ############################################################################### def _test(): import ClearMap.Visualization.Color as col from importlib import reload reload(col); col.hex_to_rgb('FFFFFF') #orientation color maps #import numpy as np import ClearMap.Visualization.Mesh.IcoSphere as ics vertices, faces = ics.icosphere(n_refinements = 7); vertex_colors = col.boys_to_rgb(vertices, alpha=1.0); import ClearMap.Visualization.Plot3d as p3d p = p3d.plot_mesh_3d(vertices, faces, vertex_colors=vertex_colors) vertex_colors = col.orientation_to_rgb(vertices, alpha=1.0) p = p3d.plot_mesh_3d(vertices, faces, vertex_colors=vertex_colors) p3d.set_light_to_camera(p)