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@adonath
Last active August 29, 2015 14:24
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GSoC2015_Model_Rasterization
.ipynb_checkpoints
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Comments and Instructions\n",
"- don't use slices, because it works only if models are defined in pixel\n",
"coordinates, but models can also be defined in world coordinates. Returning a tuple in the same coordinates as model parameters is fine.\n",
"\n",
"- don't do the rounding of bbox values in the model, again this depends on the coordinate\n",
"system. Handling of this will be done in `render_model`\n",
"\n",
"\n",
"- move `bounding_box` and `bounding_box.setter` to super class (`Model` in core.py)\n",
" - models can define a function `_bounding_box_default`, only returning the default values\n",
"\n",
"Like so:\n",
"```\n",
"@property\n",
"def bounding_box():\n",
" if self._bounding_box == 'default':\n",
" return self._bounding_box_default() # Which is implemented by every model\n",
" else:\n",
" return self._bounding_box\n",
" \n",
"@bounding_box.setter \n",
"def bounding_box(bounding_box):\n",
" # check if bounding_box has correct format or is 'default'\n",
" self._bounding_box = bounding_box\n",
" \n",
"```\n",
"\n",
"- You can stick with bounding_box = None or re-introduce a flag `_use_bounding_box`, to set whether a bounding should be used for evaluation. It doesn't matter to me...\n",
"\n",
"\n",
"\n",
"\n",
"\n",
"- bounding box for ellipse is more complicated (Use the same for Gaussian2D), see implementation below and:\n",
"http://stackoverflow.com/questions/87734/how-do-you-calculate-the-axis-aligned-bounding-box-of-an-ellipse\n",
"\n",
"- make `render_model` work in ND. It comes almost 'for free' when using `add_array` and `extract_array` (see comments below).\n",
"\n",
"- Tests!!!!!\n",
" - e.g. check image of Box/Gaussian with and without bbox against eachother for several sub-pixel positions\n",
" - also check for all models by adding a `test_eval_bbox2D` function to `Fittable2DModelTester` \n",
" - check if model images are correct at the boundaries i.e. when they are only \"half contained\"\n",
" - check bounding_box setter\n",
"\n",
"- Try to finish this by Wendnesday next week"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"source": [
"%pylab inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from astropy.modeling.models import Gaussian2D\n",
"from astropy.convolution.kernels import _round_up_to_odd_integer\n",
"from astropy.nddata.utils import extract_array, add_array"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def extent_ellipse(a, b, theta):\n",
" \"\"\"\n",
" Ref: http://stackoverflow.com/questions/87734/how-do-you-calculate-the-axis-aligned-bounding-box-of-an-ellipse\n",
" \"\"\"\n",
" # should be checked again, but look correct, can live in modeling.utils\n",
" # as a hidden (name starts with an underscore) function\n",
" t = np.arctan2(-b * np.tan(theta), a)\n",
" dx = a * np.cos(t) * np.cos(theta) - b * np.sin(t) * np.sin(theta)\n",
" \n",
" t = np.arctan2(b, a * np.tan(theta))\n",
" dy = b * np.sin(t) * np.cos(theta) + a * np.cos(t) * np.sin(theta)\n",
" return np.abs([dx, dy])"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# Remember to seed!\n",
"np.random.seed(0)\n",
"\n",
"# Copied from your notebook\n",
"imshape = (800, 1250)\n",
"nsrc = 100\n",
"data = {}\n",
"data['x_mean'] = np.random.rand(nsrc) * imshape[1]\n",
"data['y_mean'] = np.random.rand(nsrc) * imshape[0]\n",
"data['amplitude'] = np.abs(np.random.randn(nsrc) + 10.)\n",
"data['x_stddev'] = np.abs(np.random.rand(nsrc) + 5)\n",
"data['y_stddev'] = data['x_stddev'] * (np.random.rand(nsrc) + 1)\n",
"data['theta'] = np.random.rand(nsrc) * np.pi\n",
"\n",
"model_list = [Gaussian2D(x_mean=data['x_mean'][i], y_mean=data['y_mean'][i], \n",
" x_stddev=data['x_stddev'][i], y_stddev=data['y_stddev'][i],\n",
" amplitude=data['amplitude'][i], theta=data['theta'][i])\n",
" for i in range(nsrc)]"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"sky_image = np.zeros(imshape)\n",
"\n",
"# for ND just: coordinates = np.indices(arbitrary_shape)\n",
"# render_model could have an argument to pass the large coordinate arrays\n",
"y, x = np.indices(imshape)\n",
"\n",
"# loop will be outside\n",
"for model in model_list:\n",
" \n",
" # I think it's OK to use parameter names explicitely and just make an exception\n",
" # for the Gaussian otherwise define _position for \n",
" position = (model.y_mean, model.x_mean)\n",
" \n",
" \n",
" # move implementation to Gaussian2D._bounding_box_default\n",
" # and change from extent to the bounding_box definition\n",
" # size of the bbox should be larger, but I'd like to the see the residuals\n",
" a = 5 * model.x_stddev.value\n",
" b = 5 * model.y_stddev.value\n",
" extent = extent_ellipse(a, b, model.theta.value)\n",
" \n",
" # extract_array doesn't work properly for even shapes...bug?\n",
" # but rounding up to odd shapes is OK ...\n",
" # in the worst case the bounding box is increased by one pixel\n",
" # TODO: make _round_up_to_odd_integer work for arrays. Needed for ND \n",
" x_extent = _round_up_to_odd_integer(extent[0])\n",
" y_extent = _round_up_to_odd_integer(extent[1])\n",
" shape = (y_extent, x_extent)\n",
" \n",
" # shape = _round_up_to_odd_integer(extent) for ND\n",
" # if you stick with the current implementation, i.e. without the large coordinate arrays\n",
" # (which is fine...) make sure that it works correctly with `add_array` (check boundaries!)\n",
" # call extract_array in loop over all dimensions in ND \n",
" \n",
" x_cutout = extract_array(x, shape, position)\n",
" y_cutout = extract_array(y, shape, position)\n",
" \n",
" # for ND don't use the name 'image' maybe just 'data' \n",
" image_cutout = model(x_cutout, y_cutout)\n",
" \n",
" # you can use the * operator for ND like so:\n",
" # image_cutout = model(*coordinates_cutout)\n",
" \n",
" sky_image = add_array(sky_image, image_cutout, position)\n",
" "
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0x7f1c17f5b110>"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
},
{
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],
"text/plain": [
"<matplotlib.figure.Figure at 0x7f1c1c0b8dd0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"figsize(16, 8)\n",
"imshow(sky_image, cmap='gray')\n",
"colorbar()"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"sky_image_reference = np.array([model(x, y) for model in model_list]).sum(axis=0)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0x7f1c1c4f4850>"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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],
"text/plain": [
"<matplotlib.figure.Figure at 0x7f1c1c5d7650>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"imshow(sky_image_reference, cmap='gray')\n",
"colorbar()"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0x7f1c1c794950>"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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],
"text/plain": [
"<matplotlib.figure.Figure at 0x7f1c21670110>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"imshow(sky_image_reference - sky_image, cmap='RdBu', vmax=0.01, vmin=-0.01)\n",
"colorbar()\n",
"# Could you try to change the scaling in your notebook, so that the rectangular\n",
"# features of the bbox become more visible?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Result looks as expected! Of course the size of the bounding box should be increased..."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"98.0531552389 %\n"
]
}
],
"source": [
"# check total flux\n",
"print '{} %'.format(100 * sky_image.sum() / sky_image_reference.sum())"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.6"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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