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@RobertLuptonTheGood
Created February 2, 2015 19:02
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{
"metadata": {
"name": "",
"signature": "sha256:1196912243f73afe8dc950212c7631e6897c106b42290da12e980c2f7ac0983e"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Analyse a Tract's CoaddPsf"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numpy as np\n",
"import lsst.pipe.base as pipeBase\n",
"import lsst.daf.persistence as dafPersist\n",
"import lsst.pex.exceptions as pexExcept\n",
"import lsst.afw.geom as afwGeom\n",
"import lsst.afw.image as afwImage\n",
"import lsst.afw.table as afwTable\n",
"import lsst.afw.display.ds9 as ds9\n",
"\n",
"%matplotlib inline\n",
"import matplotlib.pyplot as plt"
],
"language": "python",
"metadata": {},
"outputs": []
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def makeKey(patch, myVisit=None, keys=[]):\n",
" \"\"\"Return the key used to lookup data for a patch and maybe visit\n",
" \n",
" If keys is provided then a key present in keys is returned (if it exists) with \n",
" the requested key as a prefix. \n",
" \"\"\"\n",
" key = patch\n",
" if myVisit and True:\n",
" key += '-%d' % myVisit\n",
" \n",
" if keys and key not in keys:\n",
" for k in keys:\n",
" if k.startswith(key):\n",
" return k\n",
" \n",
" return key\n",
"\n",
"def drawPatches(calexpInfo, patches):\n",
" \"\"\"Overlay a matplotlib image with labelled patch numbers\"\"\"\n",
" for patch in patches:\n",
" key = makeKey(patch, keys=calexpInfo.keys())\n",
" \n",
" bbox = calexpInfo[key].bbox\n",
" wcs = calexpInfo[key].wcs\n",
"\n",
" ra = []; dec = []\n",
" for xy in bbox.getMin(), bbox.getMax():\n",
" rd = [_.asDegrees() for _ in wcs.pixelToSky(*xy)]\n",
" ra.append(rd[0]); dec.append(rd[1])\n",
" ra = np.array([ra[0], ra[1], ra[1], ra[0], ra[0]])\n",
" dec = np.array([dec[0], dec[0], dec[1], dec[1], dec[0]])\n",
"\n",
" rabar, decbar = np.mean(ra[0:-1]), np.mean(dec[0:-1])\n",
" if True:\n",
" if rabar < plt.xlim()[0] or rabar > plt.xlim()[1] or \\\n",
" decbar < plt.ylim()[0] or decbar > plt.ylim()[1]:\n",
" continue\n",
"\n",
" plt.plot(ra, dec, '-', color='black')\n",
" plt.text(rabar, decbar, patch,\n",
" horizontalalignment='center', verticalalignment='center')"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Create a butler and prepare to read data"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"butler = dafPersist.Butler(os.path.join(os.environ[\"SUPRIME_DATA_DIR\"], \"rerun\", \n",
" \"rearmstr/hsc-1127/visit1266-1304\"))\n",
"\n",
"ds9.setMaskTransparency(75)\n",
"\n",
"try:\n",
" calexpInfo\n",
"except NameError:\n",
" calexpInfo = {}\n",
" srcs = {}\n",
"\n",
"tract = 9614\n",
"myVisits = [1266, 1304] # Visits in rerun (needed to avoid butler bugs)\n",
"filter = 'HSC-I'\n",
"display = False"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Read the data. Note that we don't keep all the pixels in the calexps"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"patches = []\n",
"for i in range(10):\n",
" for j in range(10):\n",
" patch = '%d,%d' % (i, j)\n",
" for myVisit in [None] + myVisits:\n",
" try:\n",
" if myVisit is None:\n",
" calexp = butler.get('deepCoadd', immediate=True, \n",
" tract=tract, patch=patch, filter=filter)\n",
" else:\n",
" calexp = butler.get('deepCoadd_tempExp', immediate=True, visit=myVisit,\n",
" tract=tract, patch=patch, filter=filter)\n",
"\n",
" src = butler.get('deepCoadd_src', immediate=True, tract=tract, patch=patch, filter=filter)\n",
" except:\n",
" continue\n",
" #\n",
" # A butler bug looks up into _parents to find patches not present in this rerun\n",
" #\n",
" visitsInPatch = calexp.getInfo().getCoaddInputs().ccds.get('visit')\n",
" nVisit = 0\n",
" for v in myVisits:\n",
" if v in visitsInPatch:\n",
" nVisit += 1\n",
" if nVisit == 0:\n",
" continue\n",
" \n",
" key = makeKey(patch, myVisit)\n",
" calexpInfo[key] = pipeBase.Struct(calexp=calexp if display else None,\n",
" bbox=calexp.getBBox(afwImage.PARENT),\n",
" psf=calexp.getPsf(),\n",
" xy0=calexp.getXY0(),\n",
" wcs=calexp.getWcs(), \n",
" )\n",
" srcs[key] = src\n",
" \n",
" patches.append(patch)\n",
"\n",
"myVisit = None"
],
"language": "python",
"metadata": {},
"outputs": []
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Display on ds9\n",
"frame0 = 0\n",
" \n",
"for i, patch in enumerate(patches):\n",
" key = makeKey(patch, myVisit)\n",
"\n",
" if not calexpInfo[key].calexp:\n",
" continue\n",
" xy0 = afwGeom.PointD(calexpInfo[key].xy0)\n",
" wcs = calexpInfo[key].wcs\n",
"\n",
" ds9.mtv(calexpInfo[key].calexp, title='%d %s %s' % (tract, patch, filter), frame=frame0+i)\n",
" with ds9.Buffering():\n",
" for s in srcs[key]:\n",
" ds9.dot('o', *(wcs.skyToPixel(s.getCoord()) - xy0), frame=frame0+i, ctype=ds9.WHITE)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 5
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Prepare to measure"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from lsst.meas.algorithms.detection import SourceDetectionTask\n",
"from lsst.meas.algorithms.measurement import SourceMeasurementTask\n",
"\n",
"detectionConfig = SourceDetectionTask.ConfigClass()\n",
"detectionConfig.reEstimateBackground = False\n",
"\n",
"measurementConfig = SourceMeasurementTask.ConfigClass()\n",
"#\n",
"# Create the tasks\n",
"#\n",
"schema = afwTable.SourceTable.makeMinimalSchema()\n",
"\n",
"sourceDetectionTask = SourceDetectionTask(config=detectionConfig, schema=schema)\n",
"sourceMeasurementTask = SourceMeasurementTask(config=measurementConfig,\n",
" schema=schema)\n",
"try:\n",
" SourceDetectionTask.run\n",
"except AttributeError:\n",
" SourceDetectionTask.run = SourceDetectionTask.makeSourceCatalog "
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 6
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Create a grid of PSFs"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"gridN = 30 if True else 75\n",
"myVisit = 1266 if False else None\n",
"\n",
"tractBBox = None\n",
"for patch in patches:\n",
" key = makeKey(patch, myVisit, keys=calexpInfo.keys())\n",
" bbox = calexpInfo[key].bbox\n",
"\n",
" if tractBBox:\n",
" tractBBox.include(bbox.getMin())\n",
" tractBBox.include(bbox.getMax())\n",
" else:\n",
" tractBBox = type(bbox)(bbox)\n",
"\n",
"xsize, ysize = tractBBox.getDimensions()\n",
"xy0 = tractBBox.getMin()\n",
"\n",
"x = xy0[0] + np.linspace(0.5*xsize/gridN, xsize - 0.5*xsize/gridN, gridN)\n",
"y = xy0[1] + np.linspace(0.5*ysize/gridN, ysize - 0.5*ysize/gridN, gridN)\n",
"\n",
"X, Y = np.meshgrid(x, y)\n",
"X, Y = X.flatten(), Y.flatten()\n",
"Xdeg, Ydeg = np.empty_like(X), np.empty_like(Y)\n",
"dx = np.nan + np.empty_like(X)\n",
"dy = np.nan + np.empty_like(dx)\n",
"dmag = np.nan + np.empty_like(dx)\n",
"\n",
"for patch in patches:\n",
" import re\n",
" if False and not re.search(r\"[3],[2]$\", patch):\n",
" continue\n",
" \n",
" key = makeKey(patch, myVisit)\n",
" if not key in calexpInfo:\n",
" continue\n",
" \n",
" #print key\n",
" bbox = calexpInfo[key].bbox\n",
" \n",
" psf = calexpInfo[key].psf\n",
" sigma = psf.computeShape().getDeterminantRadius()\n",
"\n",
" wcs = calexpInfo[key].wcs\n",
" pixelScale = wcs.pixelScale().asArcseconds()\n",
"\n",
" for i, xy in enumerate(zip(X, Y)):\n",
" if not bbox.contains(afwGeom.PointI(afwGeom.PointD(*xy))):\n",
" continue\n",
"\n",
" x, y = xy\n",
" \n",
" Xdeg[i], Ydeg[i] = [_.asDegrees() for _ in wcs.pixelToSky(afwGeom.PointD(*xy))]\n",
" #dmag[i] = 2\n",
"\n",
" try:\n",
" im = psf.computeImage(afwGeom.PointD(x, y))\n",
" except pexExcept.LsstCppException as e:\n",
" #print patch, e, bbox, x, y\n",
" continue\n",
" xc = afwGeom.PointD(x - im.getX0(), y - im.getY0()) # relative to im's origin\n",
" im.setXY0(afwGeom.PointI(0, 0))\n",
" \n",
" exp = afwImage.makeExposure(afwImage.makeMaskedImage(im.convertF()))\n",
" tab = afwTable.SourceTable.make(schema)\n",
"\n",
" result = sourceDetectionTask.run(tab, exp, sigma=sigma)\n",
" sourceMeasurementTask.measure(exp, result.sources)\n",
"\n",
" dc = result.sources[0].getCentroid() - xc\n",
" dx[i] = pixelScale*dc[0]\n",
" dy[i] = pixelScale*dc[1]\n",
" \n",
" dmag[i] = result.sources[0].getCalibFlux()\n",
"\n",
"dmag = -2.5*np.log10(dmag)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"Q = plt.scatter(Xdeg, Ydeg, c=dmag, s=5, norm=pyplot.Normalize(0.01, 0.07),\n",
" edgecolors=\"none\")\n",
"cb = plt.colorbar()\n",
"cb.ax.get_yaxis().labelpad = 15\n",
"cb.set_label('$\\Delta$ PSF Magnitude', rotation=270)\n",
"\n",
"plt.axes().set_aspect(\"equal\")\n",
"plt.xlim(213.8, 215.2)\n",
"plt.ylim(0.2, 1.6)\n",
"\n",
"drawPatches(calexpInfo, patches)\n",
"\n",
"plt.xlabel(\"Ra (degrees)\")\n",
"plt.ylabel(\"Dec (degrees)\")\n",
"plt.title(\"Tract %d%s%s %s\" % (tract, \n",
" ((\" %s\" % calexpInfo.keys()[0]) if len(calexpInfo.keys()) == 1 else \"\"), \n",
" (\" visit %d\" % myVisit if myVisit else \"\"),\n",
" filter[-1:].lower()))\n",
"\n",
"plt.savefig('psfFlux%s.pdf' % ((\"-%d\" % myVisit) if myVisit else \"\"))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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adhz6sKLwUWYtV8elUVvrJRQKccMNNxAKhUhPS2f6mW9iJ53Eh8DT75hOZo9M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\nrkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x2b86e447d7d0>"
]
}
],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"pivot='middle'\n",
"scale=0.5 # larger => smaller arrows\n",
"width=None # 5e-4\n",
"labelLen = 0.01\n",
"\n",
"Q = plt.quiver(Xdeg, Ydeg, dx, dy, np.hypot(dx, dy), norm=pyplot.Normalize(0, 2*labelLen),\n",
" #color=plt.cm.jet, \n",
" units='xy', scale_units='xy',\n",
" width=width, pivot=pivot, scale=scale, \n",
" edgecolor=\"none\",\n",
" #headlength=1.5, headwidth=2.5, headaxislength=2.25,\n",
" )\n",
"cb = plt.colorbar()\n",
"cb.ax.get_yaxis().labelpad = 15\n",
"cb.set_label('arcsec', rotation=270)\n",
"plt.quiverkey(Q, 0.05, 0.05, 2*labelLen, \"%g arcsec\" % (2*labelLen), coordinates='axes',\n",
" color='black', labelpos='E')\n",
"\n",
"plt.axes().set_aspect(\"equal\")\n",
"plt.xlim(213.8, 215.2)\n",
"plt.ylim(0.2, 1.6)\n",
"\n",
"drawPatches(calexpInfo, patches)\n",
"\n",
"plt.xlabel(\"Ra (degrees)\")\n",
"plt.ylabel(\"Dec (degrees)\")\n",
"plt.title(\"Tract %d%s%s %s\" % (tract, \n",
" ((\" %s\" % calexpInfo.keys()[0]) if len(calexpInfo.keys()) == 1 else \"\"), \n",
" (\" visit %d\" % myVisit if myVisit else \"\"),\n",
" filter[-1:].lower()))\n",
"\n",
"plt.savefig('psfOffsets%s.pdf' % ((\"-%d\" % myVisit) if myVisit else \"\"))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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zMyy80QJTgbfccgsul4uRI+O71YvkbA7Wrl1LRUUFCxcuBCArK4sTTjih1Xlr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\nYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x2b8702ac0d50>"
]
}
],
"prompt_number": 9
}
],
"metadata": {}
}
]
}
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