{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "from scipy.interpolate import RectBivariateSpline\n", "from skimage.data import shepp_logan_phantom\n", "from skimage.transform import radon, rescale, rotate" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Analytic Reconstruction Methods" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Consider the following setup" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

\n", " \"drawing\"\n", "

" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "An object with unknown attenuation coefficient $\\mu(x,y)$ can be scanned in multiple positions. During scanning, photons are sent through the object and the resulting intensity is picked up by a scanner. It is known that\n", "\n", "$$I = I_0 e^{-\\int \\mu(x,y)ds}$$\n", "\n", "where $ds$ is a particular straight line through the object. If is more useful to write\n", "\n", "$$\\ln(I_0/I) = \\int \\mu(x,y)ds$$ \n", "\n", "The quantity on the left can be measured for a variety of scanner positions. Shown above are two possible scanner positions with corresponding values of $\\ln(I_0/I)$. \n", "\n", "For the rest of this we will call \n", "\n", "* $\\mu(x,y)=f(x,y)$ \n", "* $\\ln(I_0/I)=p(r,\\theta)$.\n", "\n", "The parameters are as follows:\n", "\n", "* The parameter $\\theta$ species the tilt of the scanner (i.e. scanner 1 at $\\theta=90^{\\circ}$ and scanner 2 at $\\theta=-45^{\\circ})$. \n", "* The parameter $r$ specifies the horizontal location on the the scanner (i.e. scanner 1 measures largest value at $r=0$ and decays as $r\\to \\pm$)\n", "\n", "**The goal is to reconstruct $f(x,y)$ given $p(r, \\theta)$**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We'll start with $f(x,y)$, use this to get $p(r,\\theta)$, and then look at techniques to reobtain $f(x,y)$ from $p(r,\\theta)$" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "#image = shepp_logan_phantom()\n", "image = np.ones([100,100])\n", "# Resize Image\n", "diag = len(np.diag(image)//2)\n", "image = np.pad(image, pad_width=diag+10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Define a meshgrid of $x$ and $y$ values that correspond to coordinates of the square. $x=0$ and $y=0$ correspond to the point of rotation" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "_ = np.linspace(-1, 1, image.shape[0])\n", "xv, yv = np.meshgrid(_,_)\n", "image[(xv-0.1)**2+(yv-0.2)**2<0.01] = 2\n", "\n", "# Create a rotated image\n", "image_rot = rotate(image, 45)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the square and its rotation" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1,2, figsize=(10,5))\n", "ax[0].pcolor(xv,yv,image, shading='auto')\n", "ax[1].pcolor(xv,yv,image_rot, shading='auto')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The rotated squares will allow us to get $p(r,\\theta)$ for a variety of $\\theta$s. Let's Create a bunch of different rotations for a bunch of different $\\theta$s" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [], "source": [ "thetas = np.arange(0,180,5) * np.pi/180\n", "rs = _\n", "dtheta = np.diff(thetas)[0]\n", "dr = np.diff(rs)[0]\n", "rotations = np.array([rotate(image, theta*180/np.pi) for theta in thetas])" ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 62, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.imshow(rotations[5])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Define $p(r,\\theta)$: the sinogram. This involves summing each rotated image about the vertical axis (which gives a distribution $g(r)$ for each image) for each value of $\\theta$ (which then gives a net function $p(r,\\theta)$)" ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [], "source": [ "p = np.array([rotation.sum(axis=0)*dr for rotation in rotations]).T" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the scan at a given angle" ] }, { "cell_type": "code", "execution_count": 128, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(rs, p[:,9])\n", "plt.xlabel('r', fontsize=20)\n", "plt.ylabel('$\\ln(I_0/I)$', fontsize=20)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the sinogram" ] }, { "cell_type": "code", "execution_count": 65, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.pcolor(thetas, rs, p, shading='auto')\n", "plt.xlabel(r'$\\theta$', fontsize=20)\n", "plt.ylabel('$r$', fontsize=20)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Regular back projection:\n", "\n", "For a scan at angle $\\theta$, the value of $r$ that the point $(x,y)$ contributes is $x\\cos\\theta + y\\sin\\theta$. \n", "\n", "$$f_{\\text{BP}}(x,y) = \\int_{0}^{\\pi} p(x\\cos\\theta+y\\sin\\theta, \\theta)d\\theta \\approx \\sum_i p(x\\cos\\theta_i+y\\sin\\theta_i, \\theta_i) \\Delta \\theta_i$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Function that provides an interpolation of the sinogram above" ] }, { "cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [], "source": [ "p_interp = RectBivariateSpline(rs, thetas, p)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Define $f_{\\text{BP}}$" ] }, { "cell_type": "code", "execution_count": 67, "metadata": {}, "outputs": [], "source": [ "def get_fBP(x,y):\n", " return p_interp(x*np.cos(thetas)+y*np.sin(thetas), thetas, grid=False).sum() * dtheta\n", "\n", "fBP = np.vectorize(get_fBP)(xv,yv)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the regularily back-projected image" ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(6,6))\n", "plt.pcolor(fBP)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Filtered Back Projection" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This makes use of Fourier domain information" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* $f(x,y)$ has 2D Fourier transform $$F(\\nu_x, \\nu_y) =\\iint dx dy f(x,y)e^{j2\\pi \\nu_x x}e^{j2\\pi \\nu_y y}$$\n", "* $p(r,\\theta)$ has 1D Fourier transform $$P(\\nu, \\theta) = \\int p(r,\\theta)e^{j2\\pi \\nu r} dr$$\n", "\n", "It follows that\n", "\n", "$$F(\\nu\\cos\\theta, \\nu\\sin\\theta) =\\iint dxdy f(x,y) e^{j2\\pi x \\nu\\cos\\theta}e^{j2\\pi y \\nu\\sin\\theta}$$\n", "\n", "Let $r=x\\cos\\theta+y\\sin\\theta$. This is the equation for a line (moves parallel to scanner direction when changing $r$). Also let $t=-x\\cos\\theta+y\\sin\\theta$ be a line perpendicular to this (moves perpendicular to the scanner direction when changing $t$). Then \n", "\n", "$$F(\\nu\\cos\\theta, \\nu\\sin\\theta) =\\iint drdt f(x,y) e^{j2\\pi r \\nu} = \\int dr \\left[ \\int f(x,y) dt \\right] e^{j2\\pi r \\nu} = \\int dr p(r,\\theta)e^{j2\\pi r \\nu} = P(\\nu,\\theta) $$\n", "\n", "In other words, the 2D fourier transform of $f(x,y)$ is related to the 1D fourier transform of the radon function $p(r,\\theta)$\n", "\n", "$$\\boxed{F(\\nu\\cos\\theta, \\nu\\sin\\theta) = P(\\nu,\\theta)}$$\n", "\n", "So given the radon transform (which we have) we can do filtering in the Fourier space, then take the inverse 2D transform to get $f(x,y)$. Using this, we can explictly solve for $f(x,y)$:\n", "\n", "\n", "

\n", " \"drawing\"\n", "

\n" ] }, { "cell_type": "code", "execution_count": 129, "metadata": {}, "outputs": [], "source": [ "from scipy.fft import fft, ifft" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Get stuff" ] }, { "cell_type": "code", "execution_count": 130, "metadata": {}, "outputs": [], "source": [ "P = fft(p, axis=0)\n", "nu = np.fft.fftfreq(P.shape[0], d=np.diff(rs)[0])" ] }, { "cell_type": "code", "execution_count": 131, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(36, 320)" ] }, "execution_count": 131, "metadata": {}, "output_type": "execute_result" } ], "source": [ "P.T.shape" ] }, { "cell_type": "code", "execution_count": 132, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(320,)" ] }, "execution_count": 132, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nu.shape" ] }, { "cell_type": "code", "execution_count": 153, "metadata": {}, "outputs": [], "source": [ "integrand = P.T * np.abs(nu)\n", "integrand = integrand.T\n", "p_p = np.real(ifft(integrand, axis=0))" ] }, { "cell_type": "code", "execution_count": 154, "metadata": {}, "outputs": [], "source": [ "p_p_interp = RectBivariateSpline(rs, thetas, p_p)" ] }, { "cell_type": "code", "execution_count": 155, "metadata": {}, "outputs": [], "source": [ "def get_f(x,y):\n", " return p_p_interp(x*np.cos(thetas)+y*np.sin(thetas), thetas, grid=False).sum() * dtheta\n", "\n", "f = np.vectorize(get_f)(xv,yv)" ] }, { "cell_type": "code", "execution_count": 156, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(6,6))\n", "plt.pcolor(f)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 157, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 157, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(f[110])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# With SkImage Libraries" ] }, { "cell_type": "code", "execution_count": 170, "metadata": {}, "outputs": [], "source": [ "from skimage.transform import radon, iradon" ] }, { "cell_type": "code", "execution_count": 172, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\lukep\\anaconda3\\lib\\site-packages\\skimage\\transform\\radon_transform.py:87: VisibleDeprecationWarning: Creating an ndarray from ragged nested sequences (which is a list-or-tuple of lists-or-tuples-or ndarrays with different lengths or shapes) is deprecated. If you meant to do this, you must specify 'dtype=object' when creating the ndarray\n", " coords = np.array(np.ogrid[:image.shape[0], :image.shape[1]])\n" ] } ], "source": [ "theta = np.arange(0., 180., 5)\n", "sinogram = radon(image, theta=theta)" ] }, { "cell_type": "code", "execution_count": 173, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 173, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.pcolor(sinogram)" ] }, { "cell_type": "code", "execution_count": 174, "metadata": {}, "outputs": [], "source": [ "reconstruction_img = iradon(sinogram, theta=theta, filter_name='ramp')" ] }, { "cell_type": "code", "execution_count": 175, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 175, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(6,6))\n", "plt.pcolor(reconstruction_img)" ] }, { "cell_type": "code", "execution_count": 176, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 176, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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