{ "metadata": { "language": "Julia", "name": "", "signature": "sha256:c9c902880b4bdd3180f5e1f5f06a2703b6c63078a0de259c2393fb6bcf73b908" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Tomography" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Tomography is the process of reconstructing a density distribution from given\n", "integrals over sections of the distribution. In our example, we will\n", "work with tomography on black and white images.\n", "Suppose $x$ be the vector of $n$ pixel densities, with $x_j$\n", "denoting how white pixel $j$ is.\n", "Let $y$ be the vector of $m$ line integrals over the image, with $y_i$\n", "denoting the integral for line $i$.\n", "We can define a matrix $A$ to describe the geometry of the lines. Entry\n", "$A_{ij}$ describes how much of pixel $j$ is intersected by line $i$.\n", "Assuming our measurements of the line integrals are perfect, we have the relationship that\n", "\n", "$$y = Ax$$\n", "\n", "However, anytime we have measurements, there are usually small errors that occur.\n", "Therefore it makes sense to try to minimize\n", "\n", "$$\\|y - Ax\\|_2^2.$$\n", "\n", "This is simply an unconstrained least squares problem; something we can readily solve!" ] }, { "cell_type": "code", "collapsed": false, "input": [ "using Convex, Gadfly, SCS\n", "\n", "line_mat_x = readdlm(\"tux_sparse_x.txt\")\n", "line_mat_y = readdlm(\"tux_sparse_y.txt\")\n", "line_mat_val = readdlm(\"tux_sparse_val.txt\")\n", "line_vals = readdlm(\"tux_sparse_lines.txt\")\n", "\n", "# Form the sparse matrix from the data\n", "# Image is 50 x 50\n", "img_size = 50\n", "# The number of pixels in the image\n", "num_pixels = img_size * img_size\n", "\n", "line_mat = spzeros(3300, num_pixels)\n", "\n", "num_vals = length(line_mat_val)\n", "\n", "for i in 1:num_vals\n", " x = int(line_mat_x[i])\n", " y = int(line_mat_y[i])\n", " line_mat[x + 1, y + 1] = line_mat_val[i]\n", "end\n", "\n", "pixel_colors = Variable(num_pixels)\n", "# line_mat * pixel_colors should be close to the line_integral_values\n", "# to reflect that, we minimize a norm\n", "objective = sumsquares(line_mat * pixel_colors - line_vals)\n", "problem = minimize(objective)\n", "solve!(problem, SCSSolver(verbose=0))\n", "\n", "rows = zeros(img_size*img_size)\n", "cols = zeros(img_size*img_size)\n", "for i = 1:img_size\n", " for j = 1:img_size\n", " rows[(i-1)*img_size + j] = i\n", " cols[(i-1)*img_size + j] = img_size + 1 - j\n", " end\n", "end\n", "\n", "# Plot the image using the pixel values obtained!\n", "p = plot(\n", " x=rows, y=cols, color=reshape(evaluate(pixel_colors), img_size, img_size), Geom.rectbin,\n", " Scale.ContinuousColorScale(Scale.lab_gradient(color(\"black\"), color(\"white\")))\n", ")" ], 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