410 lines
12 KiB
Python
410 lines
12 KiB
Python
# Differentiable color conversions from https://github.com/TheZino/pytorch-color-conversions
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from warnings import warn
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import numpy as np
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import torch
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from scipy import linalg
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xyz_from_rgb = torch.Tensor([[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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rgb_from_xyz = torch.Tensor(linalg.inv(xyz_from_rgb))
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illuminants = \
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{"A": {'2': torch.Tensor([(1.098466069456375, 1, 0.3558228003436005)]),
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'10': torch.Tensor([(1.111420406956693, 1, 0.3519978321919493)])},
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"D50": {'2': torch.Tensor([(0.9642119944211994, 1, 0.8251882845188288)]),
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'10': torch.Tensor([(0.9672062750333777, 1, 0.8142801513128616)])},
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"D55": {'2': torch.Tensor([(0.956797052643698, 1, 0.9214805860173273)]),
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'10': torch.Tensor([(0.9579665682254781, 1, 0.9092525159847462)])},
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"D65": {'2': torch.Tensor([(0.95047, 1., 1.08883)]), # This was: `lab_ref_white`
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'10': torch.Tensor([(0.94809667673716, 1, 1.0730513595166162)])},
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"D75": {'2': torch.Tensor([(0.9497220898840717, 1, 1.226393520724154)]),
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'10': torch.Tensor([(0.9441713925645873, 1, 1.2064272211720228)])},
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"E": {'2': torch.Tensor([(1.0, 1.0, 1.0)]),
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'10': torch.Tensor([(1.0, 1.0, 1.0)])}}
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# -------------------------------------------------------------
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# The conversion functions that make use of the matrices above
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# -------------------------------------------------------------
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##### RGB - YCbCr
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# Helper for the creation of module-global constant tensors
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def _t(data):
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# device = torch.device("cuda" if torch.cuda.is_available() else "cpu") # TODO inherit this
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device = torch.device("cpu") # TODO inherit this
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return torch.tensor(data, requires_grad=False, dtype=torch.float32, device=device)
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# Helper for color matrix multiplication
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def _mul(coeffs, image):
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# This is implementation is clearly suboptimal. The function will
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# be implemented with 'einsum' when a bug in pytorch 0.4.0 will be
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# fixed (Einsum modifies variables in-place #7763).
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coeffs = coeffs.to(image.device)
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r0 = image[:, 0:1, :, :].repeat(1, 3, 1, 1) * coeffs[:, 0].view(1, 3, 1, 1)
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r1 = image[:, 1:2, :, :].repeat(1, 3, 1, 1) * coeffs[:, 1].view(1, 3, 1, 1)
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r2 = image[:, 2:3, :, :].repeat(1, 3, 1, 1) * coeffs[:, 2].view(1, 3, 1, 1)
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return r0 + r1 + r2
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# return torch.einsum("dc,bcij->bdij", (coeffs.to(image.device), image))
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_RGB_TO_YCBCR = _t([[0.257, 0.504, 0.098], [-0.148, -0.291, 0.439], [0.439 , -0.368, -0.071]])
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_YCBCR_OFF = _t([0.063, 0.502, 0.502]).view(1, 3, 1, 1)
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def rgb2ycbcr(rgb):
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"""sRGB to YCbCr conversion."""
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clip_rgb=False
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if clip_rgb:
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rgb = torch.clamp(rgb, 0, 1)
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return _mul(_RGB_TO_YCBCR, rgb) + _YCBCR_OFF.to(rgb.device)
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def ycbcr2rgb(rgb):
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"""YCbCr to sRGB conversion."""
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clip_rgb=False
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rgb = _mul(torch.inverse(_RGB_TO_YCBCR), rgb - _YCBCR_OFF.to(rgb.device))
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if clip_rgb:
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rgb = torch.clamp(rgb, 0, 1)
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return rgb
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##### HSV - RGB
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def rgb2hsv(rgb):
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"""
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R, G and B input range = 0 ÷ 1.0
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H, S and V output range = 0 ÷ 1.0
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"""
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eps = 1e-7
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var_R = rgb[:,0,:,:]
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var_G = rgb[:,1,:,:]
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var_B = rgb[:,2,:,:]
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var_Min = rgb.min(1)[0] #Min. value of RGB
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var_Max = rgb.max(1)[0] #Max. value of RGB
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del_Max = var_Max - var_Min ##Delta RGB value
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H = torch.zeros([rgb.shape[0], rgb.shape[2], rgb.shape[3]]).to(rgb.device)
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S = torch.zeros([rgb.shape[0], rgb.shape[2], rgb.shape[3]]).to(rgb.device)
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V = torch.zeros([rgb.shape[0], rgb.shape[2], rgb.shape[3]]).to(rgb.device)
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V = var_Max
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#This is a gray, no chroma...
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mask = del_Max == 0
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H[mask] = 0
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S[mask] = 0
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#Chromatic data...
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S = del_Max / (var_Max + eps)
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del_R = ( ( ( var_Max - var_R ) / 6 ) + ( del_Max / 2 ) ) / (del_Max + eps)
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del_G = ( ( ( var_Max - var_G ) / 6 ) + ( del_Max / 2 ) ) / (del_Max + eps)
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del_B = ( ( ( var_Max - var_B ) / 6 ) + ( del_Max / 2 ) ) / (del_Max + eps)
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H = torch.where( var_R == var_Max , del_B - del_G, H)
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H = torch.where( var_G == var_Max , ( 1 / 3 ) + del_R - del_B, H)
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H = torch.where( var_B == var_Max ,( 2 / 3 ) + del_G - del_R, H)
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# if ( H < 0 ) H += 1
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# if ( H > 1 ) H -= 1
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return torch.stack([H, S, V], 1)
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def hsv2rgb(hsv):
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"""
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H, S and V input range = 0 ÷ 1.0
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R, G and B output range = 0 ÷ 1.0
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"""
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eps = 1e-7
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bb,cc,hh,ww = hsv.shape
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H = hsv[:,0,:,:]
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S = hsv[:,1,:,:]
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V = hsv[:,2,:,:]
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# var_h = torch.zeros(bb,hh,ww)
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# var_s = torch.zeros(bb,hh,ww)
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# var_v = torch.zeros(bb,hh,ww)
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# var_r = torch.zeros(bb,hh,ww)
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# var_g = torch.zeros(bb,hh,ww)
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# var_b = torch.zeros(bb,hh,ww)
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# Grayscale
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if (S == 0).all():
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R = V
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G = V
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B = V
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# Chromatic data
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else:
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var_h = H * 6
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var_h[var_h == 6] = 0 #H must be < 1
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var_i = var_h.floor() #Or ... var_i = floor( var_h )
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var_1 = V * ( 1 - S )
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var_2 = V * ( 1 - S * ( var_h - var_i ) )
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var_3 = V * ( 1 - S * ( 1 - ( var_h - var_i ) ) )
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# else { var_r = V ; var_g = var_1 ; var_b = var_2 }
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var_r = V
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var_g = var_1
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var_b = var_2
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# var_i == 0 { var_r = V ; var_g = var_3 ; var_b = var_1 }
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var_r = torch.where(var_i == 0, V, var_r)
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var_g = torch.where(var_i == 0, var_3, var_g)
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var_b = torch.where(var_i == 0, var_1, var_b)
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# else if ( var_i == 1 ) { var_r = var_2 ; var_g = V ; var_b = var_1 }
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var_r = torch.where(var_i == 1, var_2, var_r)
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var_g = torch.where(var_i == 1, V, var_g)
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var_b = torch.where(var_i == 1, var_1, var_b)
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# else if ( var_i == 2 ) { var_r = var_1 ; var_g = V ; var_b = var_3 }
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var_r = torch.where(var_i == 2, var_1, var_r)
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var_g = torch.where(var_i == 2, V, var_g)
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var_b = torch.where(var_i == 2, var_3, var_b)
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# else if ( var_i == 3 ) { var_r = var_1 ; var_g = var_2 ; var_b = V }
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var_r = torch.where(var_i == 3, var_1, var_r)
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var_g = torch.where(var_i == 3, var_2, var_g)
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var_b = torch.where(var_i == 3, V, var_b)
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# else if ( var_i == 4 ) { var_r = var_3 ; var_g = var_1 ; var_b = V }
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var_r = torch.where(var_i == 4, var_3, var_r)
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var_g = torch.where(var_i == 4, var_1, var_g)
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var_b = torch.where(var_i == 4, V, var_b)
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R = var_r #* 255
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G = var_g #* 255
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B = var_b #* 255
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return torch.stack([R, G, B], 1)
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##### LAB - RGB
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def _convert(matrix, arr):
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"""Do the color space conversion.
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Parameters
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----------
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matrix : array_like
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The 3x3 matrix to use.
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arr : array_like
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The input array.
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Returns
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-------
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out : ndarray, dtype=float
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The converted array.
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"""
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if arr.is_cuda:
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matrix = matrix.cuda()
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bs, ch, h, w = arr.shape
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arr = arr.permute((0,2,3,1))
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arr = arr.contiguous().view(-1,1,3)
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matrix = matrix.transpose(0,1).unsqueeze(0)
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matrix = matrix.repeat(arr.shape[0],1,1)
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res = torch.bmm(arr,matrix)
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res = res.view(bs,h,w,ch)
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res = res.transpose(3,2).transpose(2,1)
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return res
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def get_xyz_coords(illuminant, observer):
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"""Get the XYZ coordinates of the given illuminant and observer [1]_.
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Parameters
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----------
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illuminant : {"A", "D50", "D55", "D65", "D75", "E"}, optional
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The name of the illuminant (the function is NOT case sensitive).
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observer : {"2", "10"}, optional
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The aperture angle of the observer.
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Returns
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-------
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(x, y, z) : tuple
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A tuple with 3 elements containing the XYZ coordinates of the given
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illuminant.
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Raises
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------
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ValueError
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If either the illuminant or the observer angle are not supported or
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unknown.
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References
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----------
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.. [1] https://en.wikipedia.org/wiki/Standard_illuminant
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"""
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illuminant = illuminant.upper()
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try:
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return illuminants[illuminant][observer]
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except KeyError:
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raise ValueError("Unknown illuminant/observer combination\
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(\'{0}\', \'{1}\')".format(illuminant, observer))
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def rgb2xyz(rgb):
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mask = rgb > 0.04045
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rgbm = rgb.clone()
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tmp = torch.pow((rgb + 0.055) / 1.055, 2.4)
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rgb = torch.where(mask, tmp, rgb)
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rgbm = rgb.clone()
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rgb[~mask] = rgbm[~mask]/12.92
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return _convert(xyz_from_rgb, rgb)
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def xyz2lab(xyz, illuminant="D65", observer="2"):
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# arr = _prepare_colorarray(xyz)
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xyz_ref_white = get_xyz_coords(illuminant, observer)
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#cuda
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if xyz.is_cuda:
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xyz_ref_white = xyz_ref_white.cuda()
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# scale by CIE XYZ tristimulus values of the reference white point
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xyz = xyz / xyz_ref_white.view(1,3,1,1)
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# Nonlinear distortion and linear transformation
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mask = xyz > 0.008856
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xyzm = xyz.clone()
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xyz[mask] = torch.pow(xyzm[mask], 1/3)
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xyzm = xyz.clone()
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xyz[~mask] = 7.787 * xyzm[~mask] + 16. / 116.
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x, y, z = xyz[:, 0, :, :], xyz[:, 1, :, :], xyz[:, 2, :, :]
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# Vector scaling
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L = (116. * y) - 16.
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a = 500.0 * (x - y)
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b = 200.0 * (y - z)
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return torch.stack((L,a,b), 1)
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def rgb2lab(rgb, illuminant="D65", observer="2"):
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"""RGB to lab color space conversion.
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Parameters
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----------
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rgb : array_like
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The image in RGB format, in a 3- or 4-D array of shape
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``(.., ..,[ ..,] 3)``.
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illuminant : {"A", "D50", "D55", "D65", "D75", "E"}, optional
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The name of the illuminant (the function is NOT case sensitive).
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observer : {"2", "10"}, optional
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The aperture angle of the observer.
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Returns
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-------
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out : ndarray
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The image in Lab format, in a 3- or 4-D array of shape
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``(.., ..,[ ..,] 3)``.
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Raises
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------
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ValueError
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If `rgb` is not a 3- or 4-D array of shape ``(.., ..,[ ..,] 3)``.
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References
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----------
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.. [1] https://en.wikipedia.org/wiki/Standard_illuminant
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Notes
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-----
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This function uses rgb2xyz and xyz2lab.
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By default Observer= 2A, Illuminant= D65. CIE XYZ tristimulus values
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x_ref=95.047, y_ref=100., z_ref=108.883. See function `get_xyz_coords` for
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a list of supported illuminants.
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"""
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return xyz2lab(rgb2xyz(rgb), illuminant, observer)
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def lab2xyz(lab, illuminant="D65", observer="2"):
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arr = lab.clone()
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L, a, b = arr[:, 0, :, :], arr[:, 1, :, :], arr[:, 2, :, :]
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y = (L + 16.) / 116.
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x = (a / 500.) + y
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z = y - (b / 200.)
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# if (z < 0).sum() > 0:
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# warn('Color data out of range: Z < 0 in %s pixels' % (z < 0).sum().item())
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# z[z < 0] = 0 # NO GRADIENT!!!!
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out = torch.stack((x, y, z),1)
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mask = out > 0.2068966
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outm = out.clone()
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out[mask] = torch.pow(outm[mask], 3.)
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outm = out.clone()
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out[~mask] = (outm[~mask] - 16.0 / 116.) / 7.787
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# rescale to the reference white (illuminant)
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xyz_ref_white = get_xyz_coords(illuminant, observer)
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# cuda
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if lab.is_cuda:
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xyz_ref_white = xyz_ref_white.cuda()
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xyz_ref_white = xyz_ref_white.unsqueeze(2).unsqueeze(2).repeat(1,1,out.shape[2],out.shape[3])
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out = out * xyz_ref_white
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return out
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def xyz2rgb(xyz):
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arr = _convert(rgb_from_xyz, xyz)
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mask = arr > 0.0031308
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arrm = arr.clone()
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arr[mask] = 1.055 * torch.pow(arrm[mask], 1 / 2.4) - 0.055
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arrm = arr.clone()
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arr[~mask] = arrm[~mask] * 12.92
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# CLAMP KILLS GRADIENTS
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# mask_z = arr < 0
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# arr[mask_z] = 0
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# mask_o = arr > 1
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# arr[mask_o] = 1
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# torch.clamp(arr, 0, 1, out=arr)
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return arr
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def lab2rgb(lab, illuminant="D65", observer="2"):
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"""Lab to RGB color space conversion.
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Parameters
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----------
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lab : array_like
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The image in Lab format, in a 3-D array of shape ``(.., .., 3)``.
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illuminant : {"A", "D50", "D55", "D65", "D75", "E"}, optional
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The name of the illuminant (the function is NOT case sensitive).
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observer : {"2", "10"}, optional
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The aperture angle of the observer.
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Returns
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-------
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out : ndarray
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The image in RGB format, in a 3-D array of shape ``(.., .., 3)``.
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Raises
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------
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ValueError
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If `lab` is not a 3-D array of shape ``(.., .., 3)``.
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References
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----------
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.. [1] https://en.wikipedia.org/wiki/Standard_illuminant
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Notes
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-----
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This function uses lab2xyz and xyz2rgb.
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By default Observer= 2A, Illuminant= D65. CIE XYZ tristimulus values
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x_ref=95.047, y_ref=100., z_ref=108.883. See function `get_xyz_coords` for
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a list of supported illuminants.
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"""
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return xyz2rgb(lab2xyz(lab, illuminant, observer))
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