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Frep Julia.ipynb 71.4 KiB
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{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [],
   "source": [
    "# using Plots \n",
    "using Images"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "pixelGrid (generic function with 2 methods)"
      ]
     },
     "execution_count": 90,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function pixelGrid(res=64)\n",
    "    m=collect(Iterators.product(-1.0:2.0/(res-1):1.0, -1:2.0/(res-1):1.0))[:] #equivilant to meshgrid\n",
    "    m=reshape(collect(Iterators.flatten(m)),2,length(m))\n",
    "    return m\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "circle (generic function with 4 methods)"
      ]
     },
     "execution_count": 91,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function circle(resolution=64,radius=1,thresholded=true)\n",
    "    pixels = pixelGrid(resolution);\n",
    "    X=pixels[1,:];\n",
    "    Y=pixels[2,:];\n",
    "    frep1= ((radius).*(radius).-((X.-(0)).*(X.-(0)).+(Y.-(0)).*(Y.-(0))));\n",
    "    if thresholded\n",
    "        frep1[frep1.<0.5].=0.0;\n",
    "        frep1[frep1.>=0.5].=1.0;\n",
    "    end\n",
    "    return reshape(frep1,resolution,resolution)\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "metadata": {},
   "outputs": [
    {
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       "</svg>\n"
      ]
     },
     "execution_count": 100,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "resolution=32\n",
    "thresholded=true\n",
    "radius=1\n",
    "target=circle(resolution,radius,thresholded)\n",
    "f=target.*rand(resolution,resolution)\n",
    "heatmap(f)\n",
    "# fileName=\"./target_julia.png\"\n",
    "# save(fileName, maximum(target).-target)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "lossFunction (generic function with 1 method)"
      ]
     },
     "execution_count": 105,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function lossFunction(im,frep1)\n",
    "    return sum(abs.(im.-frep1))/length(im)\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.0"
      ]
     },
     "execution_count": 107,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lossFunction(target,target)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 102,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1024"
      ]
     },
     "execution_count": 102,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Julia 1.5.2",
   "language": "julia",
   "name": "julia-1.5"
  },
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "1.5.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}