{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from IPython.display import Image"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "Image(filename='../img/basin-parameters.png', width=500)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "from fatiando import utils\n",
    "from fatiando.mesher import Polygon\n",
    "from fatiando.gravmag import talwani, interactive, basin2d\n",
    "from fatiando.vis import mpl\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "app = interactive.Moulder.load('modelo_bacia')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "x, z = app.x, app.z\n",
    "dados = app.predicted\n",
    "modelo = app.model[0]\n",
    "topo = modelo.y.min()\n",
    "xlim = [modelo.x.min(), modelo.x.max()]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "mpl.figure()\n",
    "mpl.plot(x, dados, '.k')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "mpl.polygon(app.model[0])\n",
    "mpl.gca().invert_yaxis()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "solver = basin2d.PolygonalBasinGravity(x, z, dados, 30, {'density': modelo.props['density']}, top=topo, xlim=xlim)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "initial = np.ones(solver.nparams)*1000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "solver.config('levmarq', initial=initial).fit()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "mpl.plot(x, dados, '.k', x, solver.predicted(), '-r')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "mpl.polygon(modelo)\n",
    "mpl.polygon(solver.estimate_, '-r')\n",
    "mpl.gca().invert_yaxis()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from fatiando.inversion.regularization import Damping, Smoothness1D"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "regul = solver + 1e-8*Damping(solver.nparams)\n",
    "regul = solver + 1e-8*Smoothness1D(solver.nparams)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "regul.config('levmarq', initial=initial).fit()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "mpl.plot(x, dados, '.k', x, regul.predicted(), '-r')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "mpl.polygon(app.model[0])\n",
    "mpl.polygon(regul.estimate_, '-r')\n",
    "mpl.gca().invert_yaxis()"
   ]
  }
 ],
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