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@magsol
Created September 19, 2013 18:47
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IPython notebook about histogram equalization with images. Basic image processing.
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{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This is a fairly straightforward topic, but as I'm currently taking Computer Vision (my final course requirement for my Ph.D.; after this, I will be officially [ABD](http://en.wikipedia.org/wiki/All_but_dissertation)), the assignments have started coming in and I wanted to step through the first: an application of [histogram equalization](http://en.wikipedia.org/wiki/Histogram_equalization) as a method for sprucing up an image. There is [another post along these lines](http://opencvpython.blogspot.com/2013/03/histograms-2-histogram-equalization.html), but it primarily uses OpenCV. While I urge anyone interested in computer vision with Python to investigate this package, it is a rather nontrivial task to install it and its dependencies, and for an application as simple as histogram equalization, may be overkill."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For the purposes of this assignment, I'll be using the quintessential `lena.png` image:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%pylab inline\n",
"import scipy.ndimage as nd\n",
"import matplotlib.cm as cm\n",
"\n",
"img = nd.imread(\"lena.png\", flatten = True)\n",
"axis('off')\n",
"imshow(img, cmap = cm.gray)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 15,
"text": [
"<matplotlib.image.AxesImage at 0x1140993d0>"
]
},
{
"metadata": {},
"output_type": "display_data",
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WXgRJU59h8AQmjuD4+Fjf/e539Sd/8idqtVqfqeYFOQSzEhgfTozz5P9fmrDC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\nRK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x114099050>"
]
}
],
"prompt_number": 15
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The `flatten` argument in the `imread` method forces the image to be grayscale, which is a simplification I'll be employing throughout this little tutorial (obviously you can stick with color images, but that makes some of the computation a little harder)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A good first step in image analysis is examining the histogram of pixel intensities. Assuming the pixel intensities derive from unsigned 8-bit integers, meaning the values range in [0, 256):"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"hist(img.flatten(), bins = 256)\n",
"show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": [
"<matplotlib.figure.Figure at 0x112bfce90>"
]
}
],
"prompt_number": 17
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can tell a few things from this histogram. The first is that there is a sizeable quantity of pixels with a very narrow distribution around the value 10, suggesting a large number of dark pixels. The rest of the values, up to about 200, follow a reasonably smooth and somewhat uniform distribution. If we wanted to perform any kind of image segmentation, doing so by pixel intensities alone (without any further processing) might be difficult beyond the initial spike at the bottom."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"One method of processing is a process called *equalization*. It is a process by which we stretch the histogram of intensities out to fully encompass the [0, 256) range, remapping the image's cumulative distribution function (CDF) to be roughly linear. We'll come back to this specific point later."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"First, we need to calculate the CDF of the image. In case you're not familiar with [the concept](http://en.wikipedia.org/Cumulative_distribution_function), it's a monotonic function that varies from 0 to 1 and captures the percentage of the distribution at any point. Put another way, for each `x`, it is the sum of all values before it. Going back to the above histogram, this equates to associating each pixel intensity [0, 256) with the sum of all the histogram values before it. NumPy has a convenient method for computing this:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"histogram, edges = np.histogram(img.flatten(), bins = 256)\n",
"cdf = histogram.cumsum().astype(\"float\")\n",
"xlim([0, 255])\n",
"plot(cdf)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 29,
"text": [
"[<matplotlib.lines.Line2D at 0x1190455d0>]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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rhauvhkmTFA4i0vEUEN3U22/DV78Ks2bBz3+ucBCRjqd7MXVDf/873Hgj/N//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\nIEREpFkKCBERaZYCQkREmvX/AapZ1D7Qr8KBAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x1191a8f50>"
]
}
],
"prompt_number": 29
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Our goal is to scale this within the range of the pixels. We can do this by remapping our original CDF, $F(x)$, in terms of a \"scaled\" CDF, $F_n(x)$."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$$F_n(x) = round \\left(\\frac{F(x) - \\min(F(x))}{MN - \\min(F(x))}\\right) (L - 1)$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$M$ and $N$ are the height and width of the image, and $L$ is the total number of gray levels in the image. For `lena.png`, this computation becomes"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$$F_n(x) = round \\left(\\frac{F(x) - 199}{(512)(512) - 199}\\right)(255)$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The code itself will look something like this:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"cdf_scaled = np.round(((cdf - cdf.min()) / ((img.shape[0] * img.shape[1]) - cdf.min())) * 255)\n",
"xlim([0, 255])\n",
"plot(cdf_scaled)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 28,
"text": [
"[<matplotlib.lines.Line2D at 0x11910fc50>]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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fiYhI5+jSZQLaOinJSaKiohg2bBhJSUkkJycDUFNTQ2pqKrGxsaSlpXHgwAGb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\nIiIO8v8BwxEIxwq7Mx4AAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x11910fad0>"
]
}
],
"prompt_number": 28
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now that we have our scaled CDF, it's very simple to use this as a lookup table to generate new intensity values for the image (make sure you convert the image data to integers!)."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"img2 = cdf_scaled[img.astype(\"uint8\")]\n",
"axis('off')\n",
"f, (ax1, ax2) = subplots(1, 2)\n",
"ax1.set_title(\"Original\")\n",
"ax1.axis('off')\n",
"ax1.imshow(img, cmap = cm.gray)\n",
"ax2.set_title(\"Equalized\")\n",
"ax2.axis('off')\n",
"ax2.imshow(img2, cmap = cm.gray)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 39,
"text": [
"<matplotlib.image.AxesImage at 0x11a1c8310>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAXcAAAEACAYAAABI5zaHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text": [
"<matplotlib.figure.Figure at 0x11a1f1890>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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TkFKG+fw6gGDG4nA4sGfPHmzatAkPP/yw6AkHdYWBg4ZB9OD3uthKZ8vnYNsT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\nLErjd1Bd+wAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x11a1f1a90>"
]
}
],
"prompt_number": 39
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"There are noticeable intensity differences between the two images. We can now see quite a bit more detail in some of the darker regions; the contrast is significantly improved. This is quantified by the fact that the CDF for the remapped image is now almost pefectly linear:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"histogram2, edges2 = np.histogram(img2.flatten(), bins = 256)\n",
"cdf2 = histogram2.cumsum()\n",
"xlim([0, 255])\n",
"plot(cdf2)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 33,
"text": [
"[<matplotlib.lines.Line2D at 0x119618e10>]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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Q2OhM0f3OO/Bxj2gR6QK0/pa0iwMH4G/+xpmW+49/hNdeU3IQ6WpUg5A2tXw5\nvPQSlJbC00/DzJluRyQi10oJQtqEGTz+uLNWw7PPgs8HAwe6HZWIXA8lCLkuf/kLbN0KW7bA//0f\nbNsGn/2s21GJSFtQgpBr9sc/woQJMHw4fO5zTqK45Ra3oxKRtqIEIdekuBjuvRcWL4bsbLejEZH2\noAQhV+VnP4MHH4SbboK1a51ZWEUkNGmqDWm1kydh8GD45S+dAW83qJO0SJeluZikzZjBvHnwwQdO\nLUJEujbNxSTX7cgR+K//gnffhUDAGfAmIt2DHhLIJe3d64yG/vBDZ6W3N9/UaGiR7kQ1CLmAmdN9\ndf9+mD0bVq2C++5zOyoRcYMShATV1zvTcG/dCv36wbp18MUvuh2ViLhFCUIAp/E5I8MZBf3nP8PN\nN7sdkYi4TW0QwoEDkJICX/gCvPqqkoOIOFSD6KbOnYNFi2D9eqiogKeecgbAiYicpwTRDZnBV78K\nlZXwwgsQHQ1er9tRiUhnowTRDb30ktNL6Z134MYb3Y5GRDorJYhu5q234NFHoaBAyUFELk8Johs4\ndcqZJuPdd52V3p5/Hj7/ebejEpHOTnMxhbhAACZPdtZsmD0bBg2CqCi3oxIRt2kupm7KDF58EXbt\ncnopffObsGABeDxuRyYiXYlqECHm7Fl45BH4zW+cUdEjRsDYsW5HJSKdjWoQ3UxVFWRmQs+e8Nvf\nOj9FRK7VdY2kjomJYcSIEYwaNYrk5GQAampqSEtLIz4+nvT0dI4fPx78/JIlS/D7/QwZMoTCwsJg\n+e7du0lMTMTv9zN37txgeX19PZmZmfj9flJSUjhy5Mj1hBvSNmyAkSPhzjudx0pKDiJyva4rQXg8\nHoqKiigpKWHnzp0ALF26lLS0NP70pz8xbtw4li5dCsD+/ft5+eWX2b9/PwUFBXzjG98IVm/mzJnD\n6tWrOXjwIAcPHqSgoACA1atXExkZycGDB/nOd77DggULrifckGQGc+Y4XVfXrYN/+Rf4zGfcjkpE\nQsF1z8V08TOsTZs2kZWVBUBWVhYbNmwAYOPGjUyfPp3w8HBiYmKIi4ujuLiYyspK6urqgjWQmTNn\nBvf59HdlZGSwdevW6w035Pznf8LOnZ+s3SAi0lauuwZx9913c/vtt/Pcc88BUFVVRdTH/SijoqKo\nqqoCoKKiAp/PF9zX5/MRCASalXu9XgKBAACBQIABAwYAEBYWRq9evaipqbmekEOCGaxYAffeC9//\nvjMy+pbBZCprAAAJlElEQVRb3I5KRELNdTVS79ixg379+vH++++TlpbGkCFDLtju8XjwqG9lm6qv\ndybV+/Of4bHHnEdKQ4e6HZWIhKLrShD9+vUD4NZbb2Xq1Kns3LmTqKgojh07RnR0NJWVlfT9eI1K\nr9dLWVlZcN/y8nJ8Ph9er5fy8vJm5ef3OXr0KP3796exsZETJ07Qp0+fZnHk5OQE36emppKamno9\nh9UpHToEmzc7DdA9esD27XDTTW5HJSJdRVFREUVFRVe3k12jU6dO2YcffmhmZidPnrQ77rjDNm/e\nbPPnz7elS5eamdmSJUtswYIFZma2b98+S0pKsvr6ejt06JANGjTImpqazMwsOTnZ3n77bWtqarKJ\nEydafn6+mZmtXLnSZs+ebWZma9eutczMzGZxXMchdAkNDWYHDph5vWYzZ5r98IdmZ8+6HZWIdHWt\nuXdecw2iqqqKqVOnAtDY2MhXv/pV0tPTuf3225k2bRqrV68mJiaGV155BYCEhASmTZtGQkICYWFh\nrFq1Kvj4adWqVTz44IOcPn2aSZMmMWHCBACys7OZMWMGfr+fyMhI8vLyrjXcLum11+D++50R0D/+\nMXz9625HJCLdiUZSdyINDfDkk3DiBDQ1wdq18D//Ax938BIRaTOtuXcqQXQi3/0u7NkDX/mK8/sd\nd8CYMe7GJCKhSVNtdBGLFzs1hUAASkogMtLtiEREVINw3fbt8MAD8POfw+DBzvKfIiLtTTWITsbM\nmXq7tPSTst/9DlauhC99yb24RERaogTRgTZscGZZXbLkk7KePTVFhoh0TnrE1I6qqpz1GcCpPXz5\ny/CjH33SCC0i4hY9YnLRH/8IiYnw8UByAG67zUkSIiJdgRJEO/n97+Gee5ypMUREuqLrnu5bWvaH\nP8BFcxeKiHQpShDt5MABzbIqIl2bEkQ7UQ1CRLo69WJqB01NzgI+lZVaG1pEOqfW3DtVg2gHZWUQ\nEaHkICJdmxJEO9DjJREJBermeg1++1uYO9cZ/NaSDz6AyZM7NiYRkbamNohrMG+e8/NrX7v0Z/x+\n6NWrY+IREblaWg+inYwYAc89p7UaRKTrUoJoB3/5C8THO4+RwvSATkS6KPViage//jV88YtKDiIS\n+nSba8GRI/D1r8O5c823vfee00AtIhLqlCBa8KtfwU03wSOPNN/m8cAXvtDxMYmIdDQliBb87/9C\nZibcfbfbkYiIuEeN1Bc5dw5uvRX27YN+/drsa0VEOhU1Ul+D3/0OoqOVHEREut0jppIS+Ld/u/T2\nQ4fgrrs6Lh4Rkc6q2z1imjoVPvc5SE6+9GdSU6F//+uPTUSks9JAuYu8/74zBcbRo5ppVUS6t9bc\nO0P6EdNHH0FV1Se//+xn8OUvKzmIiLRGp08QBQUFzJs3j3PnzjFr1iwWLFjQqv3OnoU77oCaGvjM\nZ5yysDB46aV2DFZEJIR06l5M586d41vf+hYFBQXs37+ftWvXcuDAgUt+vrERqqud15IlTk+kI0eg\ntNR5HTwYuhPsFRUVuR2C63QOHDoPDp2H6z8HnTpB7Ny5k7i4OGJiYggPD+eBBx5g48aNLX72/fdh\n9GiIi3Mm03vhBfj3f3dGPncH+s+gc3CezoND5yHEE0QgEGDAgAHB330+H4FAoNnnxoyBpCSYNMl5\npFRd7XRXjYnpwGBFREJMp26D8LTyz/9//Vfo0weGD+8+NQYRkXZnndhbb71l48ePD/7+5JNP2tKl\nSy/4TGxsrAF66aWXXnpdxSspKemK9+BOPQ6isbGRwYMHs3XrVvr3709ycjJr165l6NChbocmIhLy\nOvUjprCwMH76058yfvx4zp07R3Z2tpKDiEgH6dQ1CBERcU+n7sV0OQUFBQwZMgS/38+yZcvcDqdD\nxcTEMGLECEaNGkXyx5NK1dTUkJaWRnx8POnp6Rw/ftzlKNveww8/TFRUFImJicGyyx33kiVL8Pv9\nDBkyhMLCQjdCbnMtnYOcnBx8Ph+jRo1i1KhR5OfnB7eF4jkAKCsr46677mLYsGEMHz6cZ555Buhe\n18OlzkGbXg9t2qrcQRobGy02NtZKS0utoaHBkpKSbP/+/W6H1WFiYmKsurr6grL58+fbsmXLzMxs\n6dKltmDBAjdCa1fbtm2zPXv22PDhw4Nllzruffv2WVJSkjU0NFhpaanFxsbauXPnXIm7LbV0DnJy\ncuypp55q9tlQPQdmZpWVlVZSUmJmZnV1dRYfH2/79+/vVtfDpc5BW14PXbIGcTUD6EKVXfRkcNOm\nTWRlZQGQlZXFhg0b3AirXd1555307t37grJLHffGjRuZPn064eHhxMTEEBcXx86dOzs85rbW0jmA\n5tcDhO45AIiOjmbkyJEA9OjRg6FDhxIIBLrV9XCpcwBtdz10yQTR2gF0ocrj8XD33Xdz++2389xz\nzwFQVVVFVFQUAFFRUVR9epbCEHap466oqMDn8wU/F+rXyIoVK0hKSiI7Ozv4WKW7nIPDhw9TUlLC\nmDFjuu31cP4cpKSkAG13PXTJBNHaAXShaseOHZSUlJCfn8/KlSvZvn37Bds9Hk+3PEdXOu5QPSdz\n5syhtLSUvXv30q9fPx599NFLfjbUzsHJkyfJyMhg+fLl3HLLLRds6y7Xw8mTJ7nvvvtYvnw5PXr0\naNProUsmCK/XS1lZWfD3srKyCzJjqOv38Xqot956K1OnTmXnzp1ERUVx7NgxACorK+nbt6+bIXaY\nSx33xddIeXk5Xq/XlRjbW9++fYM3w1mzZgUfG4T6OTh79iwZGRnMmDGDKVOmAN3vejh/Dr72ta8F\nz0FbXg9dMkHcfvvtHDx4kMOHD9PQ0MDLL7/M5MmT3Q6rQ3z00UfU1dUBcOrUKQoLC0lMTGTy5Mnk\n5uYCkJubG7xYQt2ljnvy5Mnk5eXR0NBAaWkpBw8eDPb4CjWVlZXB9+vXrw/2cArlc2BmZGdnk5CQ\nwLx584Ll3el6uNQ5aNProa1b1jvK66+/bvHx8RYbG2tPPvmk2+F0mEOHDllSUpIlJSXZsGHDgsde\nXV1t48aNM7/fb2lpaVZbW+typG3vgQcesH79+ll4eLj5fD57/vnnL3vcixcvttjYWBs8eLAVFBS4\nGHnbufgcrF692mbMmGGJiYk2YsQIu/fee+3YsWPBz4fiOTAz2759u3k8HktKSrKRI0fayJEjLT8/\nv1tdDy2dg9dff71NrwcNlBMRkRZ1yUdMIiLS/pQgRESkRUoQIiLSIiUIERFpkRKEiIi0SAlCRERa\npAQhIiItUoIQEZEW/X9jN4m79pb7kwAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x119618e50>"
]
}
],
"prompt_number": 33
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"It reaches the same maximum value as before, but in a very linear, uniform march. We can gain a little intuition as to this behavior in looking at the histogram of the remapped image."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"hist(img2.flatten(), bins = 256)\n",
"show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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qz8z9GQgEYDKZklLHeOTk5GgfvJdfflnrpqdr+x4+fIhdu3Zh79692LlzJ4DM\n2YeTbfvpT3+qtS3T9h8ArFq1Cj/84Q/R3d2d0H2X0gHx1FNPwe/348aNGxgZGUFzczMqKiqSXa2Y\n3b9/H+FwGABw7949dHR0wGazoaKiAo2NjQCAxsZG7Q85Xc3VnoqKCjQ1NWFkZAQ9PT3w+/3aL7nS\nSSgU0v7/l7/8RfuFUzq2TwiBgwcPwmq14vDhw9r0TNiHc7UtU/bfl19+qQ2PPXjwAH/7299QXFyc\n2H23aKfXE+T8+fMiPz9f5ObmijfeeCPZ1YnL9evXhd1uF3a7XWzZskVrz82bN0VpaamwWCzC6XSK\nW7duJbmmkduzZ49Yt26d0Ov1QlVVcfr06Xnbc+LECZGbmys2bdokvF5vEmsemZnta2hoEHv37hU2\nm0088cQT4kc/+pHo7+/Xyqdb+y5cuCAURRF2u10UFRWJoqIi0d7enhH7UNa28+fPZ8z+++STT0Rx\ncbGw2+3CZrOJ3/zmN0KI+Y8n0baPF8oREZFUSg8xERFR8jAgiIhIigFBRERSDAgiIpJiQBARkRQD\ngoiIpBgQREQkxYAgIiKp/wc8sPIkHPKdvAAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x119114f50>"
]
}
],
"prompt_number": 34
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The effect of equalization is most prevalent at the low intensities, where we previously saw the very tall and narrow spike in the distribution of intensities. The same spike is still present, but the pixels have been remapped to make this distribution broader, slowing the growth rate of the associated CDF to the point of being nearly linear. Conversely, intensities that were previously low in quantity and very broadly distributed now have larger quantities. For instance, the number of pixels around intensity 150 previously was quite low; now it seems to be roughly even with the majority of the histogram."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"That's equalization! Pretty simple and straightforward. Next time we'll go through some image segmentation and blurring, mainly because this IPython Notebook thing is pretty swank."
]
}
],
"metadata": {}
}
]
}
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