522 lines
20 KiB
Python
522 lines
20 KiB
Python
# -*- coding: UTF-8 no BOM -*-
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import math,numpy as np
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### --- COLOR CLASS --------------------------------------------------
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class Color():
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"""
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Conversion of colors between different color-spaces.
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Colors should be given in the form Color('model',[vector]).
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To convert or copy color from one space to other, use the methods
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convertTo('model') or expressAs('model'), respectively.
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"""
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__slots__ = [
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'model',
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'color',
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'__dict__',
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]
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# ------------------------------------------------------------------
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def __init__(self,
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model = 'RGB',
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color = np.zeros(3,'d')):
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self.__transforms__ = \
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{'HSV': {'index': 0, 'next': self._HSV2HSL},
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'HSL': {'index': 1, 'next': self._HSL2RGB, 'prev': self._HSL2HSV},
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'RGB': {'index': 2, 'next': self._RGB2XYZ, 'prev': self._RGB2HSL},
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'XYZ': {'index': 3, 'next': self._XYZ2CIELAB, 'prev': self._XYZ2RGB},
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'CIELAB': {'index': 4, 'next': self._CIELAB2MSH, 'prev': self._CIELAB2XYZ},
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'MSH': {'index': 5, 'prev': self._MSH2CIELAB},
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}
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model = model.upper()
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if model not in list(self.__transforms__.keys()): model = 'RGB'
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if model == 'RGB' and max(color) > 1.0: # are we RGB255 ?
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for i in range(3):
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color[i] /= 255.0 # rescale to RGB
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if model == 'HSL': # are we HSL ?
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if abs(color[0]) > 1.0: color[0] /= 360.0 # with angular hue?
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while color[0] >= 1.0: color[0] -= 1.0 # rewind to proper range
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while color[0] < 0.0: color[0] += 1.0 # rewind to proper range
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self.model = model
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self.color = np.array(color,'d')
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# ------------------------------------------------------------------
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def __repr__(self):
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"""Color model and values"""
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return 'Model: %s Color: %s'%(self.model,str(self.color))
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# ------------------------------------------------------------------
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def __str__(self):
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"""Color model and values"""
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return self.__repr__()
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# ------------------------------------------------------------------
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def convertTo(self,toModel = 'RGB'):
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toModel = toModel.upper()
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if toModel not in list(self.__transforms__.keys()): return
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sourcePos = self.__transforms__[self.model]['index']
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targetPos = self.__transforms__[toModel]['index']
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while sourcePos < targetPos:
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self.__transforms__[self.model]['next']()
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sourcePos += 1
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while sourcePos > targetPos:
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self.__transforms__[self.model]['prev']()
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sourcePos -= 1
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return self
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# ------------------------------------------------------------------
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def expressAs(self,asModel = 'RGB'):
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return self.__class__(self.model,self.color).convertTo(asModel)
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def _HSV2HSL(self):
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"""
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Convert H(ue) S(aturation) V(alue or brightness) to H(ue) S(aturation) L(uminance)
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with all values in the range of 0 to 1
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http://codeitdown.com/hsl-hsb-hsv-color/
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"""
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if self.model != 'HSV': return
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converted = Color('HSL',np.array([
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self.color[0],
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1. if self.color[2] == 0.0 or (self.color[1] == 0.0 and self.color[2] == 1.0) \
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else self.color[1]*self.color[2]/(1.-abs(self.color[2]*(2.-self.color[1])-1.)),
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0.5*self.color[2]*(2.-self.color[1]),
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]))
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self.model = converted.model
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self.color = converted.color
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def _HSL2HSV(self):
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"""
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Convert H(ue) S(aturation) L(uminance) to H(ue) S(aturation) V(alue or brightness)
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with all values in the range of 0 to 1
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http://codeitdown.com/hsl-hsb-hsv-color/
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"""
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if self.model != 'HSL': return
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h = self.color[0]
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b = self.color[2]+0.5*(self.color[1]*(1.-abs(2*self.color[2]-1)))
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s = 1.0 if b == 0.0 else 2.*(b-self.color[2])/b
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converted = Color('HSV',np.array([h,s,b]))
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self.model = converted.model
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self.color = converted.color
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def _HSL2RGB(self):
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"""
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Convert H(ue) S(aturation) L(uminance) to R(red) G(reen) B(lue)
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with all values in the range of 0 to 1
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from http://en.wikipedia.org/wiki/HSL_and_HSV
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"""
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if self.model != 'HSL': return
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sextant = self.color[0]*6.0
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c = (1.0 - abs(2.0 * self.color[2] - 1.0))*self.color[1]
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x = c*(1.0 - abs(sextant%2 - 1.0))
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m = self.color[2] - 0.5*c
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converted = Color('RGB',np.array([
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[c+m, x+m, m],
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[x+m, c+m, m],
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[m, c+m, x+m],
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[m, x+m, c+m],
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[x+m, m, c+m],
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[c+m, m, x+m],
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][int(sextant)],'d'))
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self.model = converted.model
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self.color = converted.color
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def _RGB2HSL(self):
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"""
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Convert R(ed) G(reen) B(lue) to H(ue) S(aturation) L(uminance)
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with all values in the range of 0 to 1
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from http://130.113.54.154/~monger/hsl-rgb.html
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"""
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if self.model != 'RGB': return
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HSL = np.zeros(3,'d')
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maxcolor = self.color.max()
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mincolor = self.color.min()
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HSL[2] = (maxcolor + mincolor)/2.0
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if(mincolor == maxcolor):
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HSL[0] = 0.0
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HSL[1] = 0.0
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else:
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if (HSL[2]<0.5):
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HSL[1] = (maxcolor - mincolor)/(maxcolor + mincolor)
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else:
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HSL[1] = (maxcolor - mincolor)/(2.0 - maxcolor - mincolor)
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if (maxcolor == self.color[0]):
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HSL[0] = 0.0 + (self.color[1] - self.color[2])/(maxcolor - mincolor)
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elif (maxcolor == self.color[1]):
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HSL[0] = 2.0 + (self.color[2] - self.color[0])/(maxcolor - mincolor)
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elif (maxcolor == self.color[2]):
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HSL[0] = 4.0 + (self.color[0] - self.color[1])/(maxcolor - mincolor)
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HSL[0] = HSL[0]*60.0 # scaling to 360 might be dangerous for small values
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if (HSL[0] < 0.0):
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HSL[0] = HSL[0] + 360.0
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for i in range(2):
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HSL[i+1] = min(HSL[i+1],1.0)
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HSL[i+1] = max(HSL[i+1],0.0)
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converted = Color('HSL', HSL)
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self.model = converted.model
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self.color = converted.color
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def _RGB2XYZ(self):
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"""
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Convert R(ed) G(reen) B(lue) to CIE XYZ
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with all values in the range of 0 to 1
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from http://www.cs.rit.edu/~ncs/color/t_convert.html
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"""
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if self.model != 'RGB': return
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XYZ = np.zeros(3,'d')
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RGB_lin = np.zeros(3,'d')
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convert = np.array([[0.412453,0.357580,0.180423],
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[0.212671,0.715160,0.072169],
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[0.019334,0.119193,0.950227]])
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for i in range(3):
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if (self.color[i] > 0.04045): RGB_lin[i] = ((self.color[i]+0.0555)/1.0555)**2.4
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else: RGB_lin[i] = self.color[i] /12.92
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XYZ = np.dot(convert,RGB_lin)
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for i in range(3):
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XYZ[i] = max(XYZ[i],0.0)
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converted = Color('XYZ', XYZ)
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self.model = converted.model
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self.color = converted.color
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def _XYZ2RGB(self):
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"""
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Convert CIE XYZ to R(ed) G(reen) B(lue)
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with all values in the range of 0 to 1
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from http://www.cs.rit.edu/~ncs/color/t_convert.html
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"""
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if self.model != 'XYZ':
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return
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convert = np.array([[ 3.240479,-1.537150,-0.498535],
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[-0.969256, 1.875992, 0.041556],
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[ 0.055648,-0.204043, 1.057311]])
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RGB_lin = np.dot(convert,self.color)
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RGB = np.zeros(3,'d')
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for i in range(3):
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if (RGB_lin[i] > 0.0031308): RGB[i] = ((RGB_lin[i])**(1.0/2.4))*1.0555-0.0555
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else: RGB[i] = RGB_lin[i] *12.92
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for i in range(3):
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RGB[i] = min(RGB[i],1.0)
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RGB[i] = max(RGB[i],0.0)
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maxVal = max(RGB) # clipping colors according to the display gamut
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if (maxVal > 1.0): RGB /= maxVal
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converted = Color('RGB', RGB)
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self.model = converted.model
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self.color = converted.color
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def _CIELAB2XYZ(self):
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"""
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Convert CIE Lab to CIE XYZ
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with XYZ in the range of 0 to 1
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from http://www.easyrgb.com/index.php?X=MATH&H=07#text7
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"""
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if self.model != 'CIELAB': return
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ref_white = np.array([.95047, 1.00000, 1.08883],'d') # Observer = 2, Illuminant = D65
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XYZ = np.zeros(3,'d')
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XYZ[1] = (self.color[0] + 16.0 ) / 116.0
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XYZ[0] = XYZ[1] + self.color[1]/ 500.0
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XYZ[2] = XYZ[1] - self.color[2]/ 200.0
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for i in range(len(XYZ)):
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if (XYZ[i] > 6./29. ): XYZ[i] = XYZ[i]**3.
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else: XYZ[i] = 108./841. * (XYZ[i] - 4./29.)
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converted = Color('XYZ', XYZ*ref_white)
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self.model = converted.model
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self.color = converted.color
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def _XYZ2CIELAB(self):
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"""
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Convert CIE XYZ to CIE Lab
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with XYZ in the range of 0 to 1
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from http://en.wikipedia.org/wiki/Lab_color_space,
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http://www.cs.rit.edu/~ncs/color/t_convert.html
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"""
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if self.model != 'XYZ': return
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ref_white = np.array([.95047, 1.00000, 1.08883],'d') # Observer = 2, Illuminant = D65
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XYZ = self.color/ref_white
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for i in range(len(XYZ)):
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if (XYZ[i] > 216./24389 ): XYZ[i] = XYZ[i]**(1.0/3.0)
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else: XYZ[i] = (841./108. * XYZ[i]) + 16.0/116.0
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converted = Color('CIELAB', np.array([ 116.0 * XYZ[1] - 16.0,
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500.0 * (XYZ[0] - XYZ[1]),
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200.0 * (XYZ[1] - XYZ[2]) ]))
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self.model = converted.model
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self.color = converted.color
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def _CIELAB2MSH(self):
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"""
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Convert CIE Lab to Msh colorspace
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from http://www.cs.unm.edu/~kmorel/documents/ColorMaps/DivergingColorMapWorkshop.xls
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"""
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if self.model != 'CIELAB': return
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Msh = np.zeros(3,'d')
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Msh[0] = math.sqrt(np.dot(self.color,self.color))
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if (Msh[0] > 0.001):
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Msh[1] = math.acos(self.color[0]/Msh[0])
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if (self.color[1] != 0.0):
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Msh[2] = math.atan2(self.color[2],self.color[1])
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converted = Color('MSH', Msh)
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self.model = converted.model
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self.color = converted.color
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def _MSH2CIELAB(self):
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"""
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Convert Msh colorspace to CIE Lab
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with s,h in radians
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from http://www.cs.unm.edu/~kmorel/documents/ColorMaps/DivergingColorMapWorkshop.xls
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"""
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if self.model != 'MSH': return
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Lab = np.zeros(3,'d')
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Lab[0] = self.color[0] * math.cos(self.color[1])
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Lab[1] = self.color[0] * math.sin(self.color[1]) * math.cos(self.color[2])
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Lab[2] = self.color[0] * math.sin(self.color[1]) * math.sin(self.color[2])
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converted = Color('CIELAB', Lab)
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self.model = converted.model
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self.color = converted.color
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class Colormap():
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"""Perceptually uniform diverging or sequential colormaps."""
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__slots__ = [
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'left',
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'right',
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'interpolate',
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]
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__predefined__ = {
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'gray': {'left': Color('HSL',[0,1,1]),
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'right': Color('HSL',[0,0,0.15]),
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'interpolate': 'perceptualuniform'},
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'grey': {'left': Color('HSL',[0,1,1]),
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'right': Color('HSL',[0,0,0.15]),
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'interpolate': 'perceptualuniform'},
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'red': {'left': Color('HSL',[0,1,0.14]),
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'right': Color('HSL',[0,0.35,0.91]),
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'interpolate': 'perceptualuniform'},
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'green': {'left': Color('HSL',[0.33333,1,0.14]),
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'right': Color('HSL',[0.33333,0.35,0.91]),
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'interpolate': 'perceptualuniform'},
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'blue': {'left': Color('HSL',[0.66,1,0.14]),
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'right': Color('HSL',[0.66,0.35,0.91]),
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'interpolate': 'perceptualuniform'},
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'seaweed': {'left': Color('HSL',[0.78,1.0,0.1]),
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'right': Color('HSL',[0.40000,0.1,0.9]),
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'interpolate': 'perceptualuniform'},
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'bluebrown': {'left': Color('HSL',[0.65,0.53,0.49]),
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'right': Color('HSL',[0.11,0.75,0.38]),
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'interpolate': 'perceptualuniform'},
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'redgreen': {'left': Color('HSL',[0.97,0.96,0.36]),
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'right': Color('HSL',[0.33333,1.0,0.14]),
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'interpolate': 'perceptualuniform'},
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'bluered': {'left': Color('HSL',[0.65,0.53,0.49]),
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'right': Color('HSL',[0.97,0.96,0.36]),
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'interpolate': 'perceptualuniform'},
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'blueredrainbow':{'left': Color('HSL',[2.0/3.0,1,0.5]),
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'right': Color('HSL',[0,1,0.5]),
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'interpolate': 'linear' },
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'orientation': {'left': Color('RGB',[0.933334,0.878432,0.878431]),
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'right': Color('RGB',[0.250980,0.007843,0.000000]),
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'interpolate': 'perceptualuniform'},
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'strain': {'left': Color('RGB',[0.941177,0.941177,0.870588]),
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'right': Color('RGB',[0.266667,0.266667,0.000000]),
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'interpolate': 'perceptualuniform'},
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'stress': {'left': Color('RGB',[0.878432,0.874511,0.949019]),
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'right': Color('RGB',[0.000002,0.000000,0.286275]),
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'interpolate': 'perceptualuniform'},
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}
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# ------------------------------------------------------------------
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def __init__(self,
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left = Color('RGB',[1,1,1]),
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right = Color('RGB',[0,0,0]),
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interpolate = 'perceptualuniform',
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predefined = None
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):
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if predefined is not None:
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left = self.__predefined__[predefined.lower()]['left']
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right= self.__predefined__[predefined.lower()]['right']
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interpolate = self.__predefined__[predefined.lower()]['interpolate']
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if left.__class__.__name__ != 'Color':
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left = Color()
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if right.__class__.__name__ != 'Color':
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right = Color()
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self.left = left
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self.right = right
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self.interpolate = interpolate
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# ------------------------------------------------------------------
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def __repr__(self):
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"""Left and right value of colormap"""
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return 'Left: %s Right: %s'%(self.left,self.right)
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# ------------------------------------------------------------------
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def invert(self):
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(self.left, self.right) = (self.right, self.left)
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return self
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# ------------------------------------------------------------------
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def color(self,fraction = 0.5):
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def interpolate_Msh(lo, hi, frac):
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def rad_diff(a,b):
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return abs(a[2]-b[2])
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# if saturation of one of the two colors is too less than the other, hue of the less
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def adjust_hue(Msh_sat, Msh_unsat):
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if Msh_sat[0] >= Msh_unsat[0]:
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return Msh_sat[2]
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else:
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hSpin = Msh_sat[1]/math.sin(Msh_sat[1])*math.sqrt(Msh_unsat[0]**2.0-Msh_sat[0]**2)/Msh_sat[0]
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if Msh_sat[2] < - math.pi/3.0: hSpin *= -1.0
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return Msh_sat[2] + hSpin
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Msh1 = np.array(lo[:])
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Msh2 = np.array(hi[:])
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if (Msh1[1] > 0.05 and Msh2[1] > 0.05 and rad_diff(Msh1,Msh2) > math.pi/3.0):
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M_mid = max(Msh1[0],Msh2[0],88.0)
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if frac < 0.5:
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Msh2 = np.array([M_mid,0.0,0.0],'d')
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frac *= 2.0
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else:
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Msh1 = np.array([M_mid,0.0,0.0],'d')
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frac = 2.0*frac - 1.0
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if Msh1[1] < 0.05 and Msh2[1] > 0.05: Msh1[2] = adjust_hue(Msh2,Msh1)
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elif Msh1[1] > 0.05 and Msh2[1] < 0.05: Msh2[2] = adjust_hue(Msh1,Msh2)
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|
Msh = (1.0 - frac) * Msh1 + frac * Msh2
|
|
|
|
return Color('MSH',Msh)
|
|
|
|
def interpolate_linear(lo, hi, frac):
|
|
"""Linear interpolation between lo and hi color at given fraction; output in model of lo color."""
|
|
interpolation = (1.0 - frac) * np.array(lo.color[:]) \
|
|
+ frac * np.array(hi.expressAs(lo.model).color[:])
|
|
|
|
return Color(lo.model,interpolation)
|
|
|
|
if self.interpolate == 'perceptualuniform':
|
|
return interpolate_Msh(self.left.expressAs('MSH').color,
|
|
self.right.expressAs('MSH').color,fraction)
|
|
elif self.interpolate == 'linear':
|
|
return interpolate_linear(self.left,
|
|
self.right,fraction)
|
|
else:
|
|
raise NameError('unknown color interpolation method')
|
|
|
|
# ------------------------------------------------------------------
|
|
def export(self,name = 'uniformPerceptualColorMap',\
|
|
format = 'paraview',\
|
|
steps = 2,\
|
|
crop = [-1.0,1.0],
|
|
model = 'RGB'):
|
|
"""
|
|
[RGB] colormap for use in paraview or gmsh, or as raw string, or array.
|
|
|
|
Arguments: name, format, steps, crop.
|
|
Format is one of (paraview, gmsh, raw, list).
|
|
Crop selects a (sub)range in [-1.0,1.0].
|
|
Generates sequential map if one limiting color is either white or black,
|
|
diverging map otherwise.
|
|
"""
|
|
format = format.lower() # consistent comparison basis
|
|
frac = 0.5*(np.array(crop) + 1.0) # rescale crop range to fractions
|
|
colors = [self.color(float(i)/(steps-1)*(frac[1]-frac[0])+frac[0]).expressAs(model).color for i in range(steps)]
|
|
if format == 'paraview':
|
|
colormap = ['[\n {{\n "ColorSpace" : "RGB", "Name" : "{}",\n "RGBPoints" : ['.format(name)] \
|
|
+ [' {:4d},{:8.6f},{:8.6f},{:8.6f},'.format(i,color[0],color[1],color[2],)
|
|
for i,color in enumerate(colors[:-1])]\
|
|
+ [' {:4d},{:8.6f},{:8.6f},{:8.6f} '.format(len(colors),colors[-1][0],colors[-1][1],colors[-1][2],)]\
|
|
+ [' ]\n }\n]']
|
|
elif format == 'gmsh':
|
|
colormap = ['View.ColorTable = {'] \
|
|
+ [',\n'.join(['{%s}'%(','.join([str(x*255.0) for x in color])) for color in colors])] \
|
|
+ ['}']
|
|
|
|
elif format == 'gom':
|
|
colormap = ['1 1 ' + str(name) \
|
|
+ ' 9 ' + str(name) \
|
|
+ ' 0 1 0 3 0 0 -1 9 \ 0 0 0 255 255 255 0 0 255 ' \
|
|
+ '30 NO_UNIT 1 1 64 64 64 255 1 0 0 0 0 0 0 3 0 ' + str(len(colors)) \
|
|
+ ' '.join([' 0 %s 255 1'%(' '.join([str(int(x*255.0)) for x in color])) for color in reversed(colors)])]
|
|
|
|
elif format == 'raw':
|
|
colormap = ['\t'.join(map(str,color)) for color in colors]
|
|
|
|
elif format == 'list':
|
|
colormap = colors
|
|
|
|
else:
|
|
raise NameError('unknown color export format')
|
|
|
|
return '\n'.join(colormap) + '\n' if type(colormap[0]) is str else colormap
|