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uqim_utils.py
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uqim_utils.py
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"""
# > Modules for computing the Underwater Image Quality Measure (UIQM)
# Maintainer: Jahid (email: [email protected])
"""
from scipy import ndimage
from PIL import Image
import numpy as np
import math
def mu_a(x, alpha_L=0.1, alpha_R=0.1):
"""
Calculates the asymetric alpha-trimmed mean
"""
# sort pixels by intensity - for clipping
x = sorted(x)
# get number of pixels
K = len(x)
# calculate T alpha L and T alpha R
T_a_L = math.ceil(alpha_L*K)
T_a_R = math.floor(alpha_R*K)
# calculate mu_alpha weight
weight = (1/(K-T_a_L-T_a_R))
# loop through flattened image starting at T_a_L+1 and ending at K-T_a_R
s = int(T_a_L+1)
e = int(K-T_a_R)
val = sum(x[s:e])
val = weight*val
return val
def s_a(x, mu):
val = 0
for pixel in x:
val += math.pow((pixel-mu), 2)
return val/len(x)
def _uicm(x):
R = x[:,:,0].flatten()
G = x[:,:,1].flatten()
B = x[:,:,2].flatten()
RG = R-G
YB = ((R+G)/2)-B
mu_a_RG = mu_a(RG)
mu_a_YB = mu_a(YB)
s_a_RG = s_a(RG, mu_a_RG)
s_a_YB = s_a(YB, mu_a_YB)
l = math.sqrt( (math.pow(mu_a_RG,2)+math.pow(mu_a_YB,2)) )
r = math.sqrt(s_a_RG+s_a_YB)
return (-0.0268*l)+(0.1586*r)
def sobel(x):
dx = ndimage.sobel(x,0)
dy = ndimage.sobel(x,1)
mag = np.hypot(dx, dy)
mag *= 255.0 / np.max(mag)
return mag
def eme(x, window_size):
"""
Enhancement measure estimation
x.shape[0] = height
x.shape[1] = width
"""
# if 4 blocks, then 2x2...etc.
k1 = x.shape[1]/window_size
k2 = x.shape[0]/window_size
# weight
w = 2./(k1*k2)
blocksize_x = window_size
blocksize_y = window_size
# make sure image is divisible by window_size - doesn't matter if we cut out some pixels
x = x[:blocksize_y*k2, :blocksize_x*k1]
val = 0
for l in range(k1):
for k in range(k2):
block = x[k*window_size:window_size*(k+1), l*window_size:window_size*(l+1)]
max_ = np.max(block)
min_ = np.min(block)
# bound checks, can't do log(0)
if min_ == 0.0: val += 0
elif max_ == 0.0: val += 0
else: val += math.log(max_/min_)
return w*val
def _uism(x):
"""
Underwater Image Sharpness Measure
"""
# get image channels
R = x[:,:,0]
G = x[:,:,1]
B = x[:,:,2]
# first apply Sobel edge detector to each RGB component
Rs = sobel(R)
Gs = sobel(G)
Bs = sobel(B)
# multiply the edges detected for each channel by the channel itself
R_edge_map = np.multiply(Rs, R)
G_edge_map = np.multiply(Gs, G)
B_edge_map = np.multiply(Bs, B)
# get eme for each channel
r_eme = eme(R_edge_map, 10)
g_eme = eme(G_edge_map, 10)
b_eme = eme(B_edge_map, 10)
# coefficients
lambda_r = 0.299
lambda_g = 0.587
lambda_b = 0.144
return (lambda_r*r_eme) + (lambda_g*g_eme) + (lambda_b*b_eme)
def plip_g(x,mu=1026.0):
return mu-x
def plip_theta(g1, g2, k):
g1 = plip_g(g1)
g2 = plip_g(g2)
return k*((g1-g2)/(k-g2))
def plip_cross(g1, g2, gamma):
g1 = plip_g(g1)
g2 = plip_g(g2)
return g1+g2-((g1*g2)/(gamma))
def plip_diag(c, g, gamma):
g = plip_g(g)
return gamma - (gamma * math.pow((1 - (g/gamma) ), c) )
def plip_multiplication(g1, g2):
return plip_phiInverse(plip_phi(g1) * plip_phi(g2))
#return plip_phiInverse(plip_phi(plip_g(g1)) * plip_phi(plip_g(g2)))
def plip_phiInverse(g):
plip_lambda = 1026.0
plip_beta = 1.0
return plip_lambda * (1 - math.pow(math.exp(-g / plip_lambda), 1 / plip_beta));
def plip_phi(g):
plip_lambda = 1026.0
plip_beta = 1.0
return -plip_lambda * math.pow(math.log(1 - g / plip_lambda), plip_beta)
def _uiconm(x, window_size):
"""
Underwater image contrast measure
https://github.com/tkrahn108/UIQM/blob/master/src/uiconm.cpp
https://ieeexplore.ieee.org/abstract/document/5609219
"""
plip_lambda = 1026.0
plip_gamma = 1026.0
plip_beta = 1.0
plip_mu = 1026.0
plip_k = 1026.0
# if 4 blocks, then 2x2...etc.
k1 = x.shape[1]/window_size
k2 = x.shape[0]/window_size
# weight
w = -1./(k1*k2)
blocksize_x = window_size
blocksize_y = window_size
# make sure image is divisible by window_size - doesn't matter if we cut out some pixels
x = x[:blocksize_y*k2, :blocksize_x*k1]
# entropy scale - higher helps with randomness
alpha = 1
val = 0
for l in range(k1):
for k in range(k2):
block = x[k*window_size:window_size*(k+1), l*window_size:window_size*(l+1), :]
max_ = np.max(block)
min_ = np.min(block)
top = max_-min_
bot = max_+min_
if math.isnan(top) or math.isnan(bot) or bot == 0.0 or top == 0.0: val += 0.0
else: val += alpha*math.pow((top/bot),alpha) * math.log(top/bot)
#try: val += plip_multiplication((top/bot),math.log(top/bot))
return w*val
def getUIQM(x):
"""
Function to return UIQM to be called from other programs
x: image
"""
x = x.astype(np.float32)
### UCIQE: https://ieeexplore.ieee.org/abstract/document/7300447
#c1 = 0.4680; c2 = 0.2745; c3 = 0.2576
### UIQM https://ieeexplore.ieee.org/abstract/document/7305804
c1 = 0.0282; c2 = 0.2953; c3 = 3.5753
uicm = _uicm(x)
uism = _uism(x)
uiconm = _uiconm(x, 10)
uiqm = (c1*uicm) + (c2*uism) + (c3*uiconm)
return uiqm