MOPEX User's Guide - IRSA

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8.6.1 Simplex Algorithm Modification MOPEX User’s Guide In order to do the minimization, the Simplex algorithm has been modified. The original downhill Simplex algorithm minimizes a function by using the values of the function at several vertices and trying to move away from the highest vertex. There are four basic ways in the original Simplex to move a vertex: reflection, expansion, contraction and shrinkage. Two modifications have been made. They are illustrated in Figure 8.24. First, reflection is modified in the following way. If there is an indication that reflection is done almost parallel to the lines of constant χ 2 , it is replaced with moving the highest vertex in the direction perpendicular to the reflection direction. Second, contraction and shrinkage are replaced with line minimization. Figure 8.24: Illustration of the two modifications made to the original Simplex method. 8.7 Point Response Function Point source detection and extraction in APEX rely upon a good measurement of the point response function (PRF). The term PRF is not just an alternative way of saying point-spread function (PSF). PSF-fitting is a commonly used term. However, PRF and PSF are two different objects. A PSF is an image of a point-source, and it is often oversampled; i.e., the pixel size of the PSF image is a fraction of the pixel size of the detector array or the mosaic image for which the the PSF is applicable. A PRF, however, is not an image of a point source. One way to think of a PRF image is as a kind of “table” of values of the responses of detector pixels to point source “hits” at different sub-pixel positions of a central pixel, stored in a convenient, interleaved form Basic Concepts in MOPEX 212 Point Response Function
MOPEX User’s Guide that resembles an image. Normally, a PRF is oversampled, so that there are n x n samples stored, with n being the resampling factor. This means that the PRF holds pixel response images for hits in each n x n grid point in a pixel. You can find more information in the document entitled “How to make the PRF from the PSF”, available at: http://irsa.ipac.caltech.edu/data/SPITZER/docs/files/spitzer/PRF_howto.pdf NOTE: For Spitzer data, standard PRFs may be used in APEX, or they may be measured from the mosaic with which they are to be used. Standard PRFs are available from the website. Users may produce their own PRFs using the PRF Estimate pipeline (prf_estimate.pl), which is part of the MOPEX distribution. DO NOT use PRF Estimate with and undersampled data, for example IRAC Channels 1 and 2. For IRAC PRF fitting you should use the provided PRFs. IMPORTANT: APEX normalizes the PRF before fitting. If Normalization Radius is specified in the Source Estimate module, the normalization is performed over the pixels within that radius (IN PRF PIXEL UNITS) from the center of the PRF. If Normalization Radius is not specified, APEX will norma lize over the available range that the central PRF covers in the PRF FITS file. Getting correct PRF-fitted absolute fluxes requires having the correct PRF normalization for your data! Variable PRF A provision is made to use a variable in the field of view PRF using the so-called PRF maps. It is assumed that several areas in the detector field of view will be identified, such that PRF variation within each area will be negligible and a constant PRF can be used for each area. A PRF map identifies the areas of constant PRF. A PRF map maps an image with respect to the PRF image used for any pixel of the image. In the PRF map file header, the keyword Number_PRF gives the number of different PRF's that should be used for an image. The names of the files containing the PRF's are set in the keywords PRF_Filename_?, where "?" runs from 1 to Number_PRF. The PRF's can be in the form of a fits file (.fits) or an IPAC table (.tbl). The keyword HaveSigma is used to indicate whether PRF Sigma images are available. If they are, HaveSigma = 1; HaveSigma = 0 otherwise. The names of the images with the Sigmas are given by the keywords PRFSigma_Filename_?. The keywords ImageX and ImageY give the sizes of the images for which the PRF's are to be used. Here is a sample: \char comment = PRF Map \int Number_PRF = 5 \int HaveSigma = 1 \int ImageX = 256 Basic Concepts in MOPEX 213 Point Response Function
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MOPEX User’s Guide MOsaicking and
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MOPEX User’s Guide 7.4 PRF Estima
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Chapter 1. Introduction MOPEX User
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MOPEX User’s Guide • If you are
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for Linux and Solaris systems, and:
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Chapter 2. Overview of MOPEX MOPEX
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For instructions on how to run MOPE
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2.3.1 Additional Functionality MOPE
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MOPEX User’s Guide mosaic_mask.pl
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MOPEX User’s Guide Choosing the r
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MOPEX User’s Guide photometry), o
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Chapter 3. MOPEX Input MOPEX User
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3.2 MOPEX Input List Files MOPEX Us
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Chapter 4. Overlap (overlap.pl) MOP
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MOPEX User’s Guide 3. Background
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MOPEX User’s Guide Output Directo
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ncpu_multiprocess = 1 default = 1 I
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4.3.3 Overlap Modules: S/N Estimato
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σ = σ 2 readnoise g 2 + σ 2 conf
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MOPEX User’s Guide Generated Head
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OUTPUT MOPEX User’s Guide Generat
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OUTPUT MOPEX User’s Guide Generat
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MOPEX User’s Guide When choosing
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Chapter 5. Mosaicking (mosaic.pl) M
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MOPEX User’s Guide They do not ne
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MOPEX User’s Guide more informati
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MOPEX User’s Guide Pixel by Size:
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OUTPUT None DISCUSSION MOPEX User
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DISCUSSION MOPEX User’s Guide For
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DISCUSSION No further information.
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MOPEX User’s Guide processed in o
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MOPEX User’s Guide Min Pix Number
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MOPEX User’s Guide Box Median Bia
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PURPOSE MOPEX User’s Guide The in
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MOPEX User’s Guide Standard Devia
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Mosaic Coverage File (mosaic_cov.fi
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There are no user-defined input par
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COMMAND LINE INPUT See INPUT. OUTPU
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MOPEX User’s Guide limitations di
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6.3 Running APEX MOPEX User’s Gui
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MOPEX User’s Guide Point Source D
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Figure 6.1: Overview of the main pr
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Relevant Pipelines: All PURPOSE INP
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NICE = 1 save_namelist = 1 MOPEX Us
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MOPEX User’s Guide Mosaic PRF Fil
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create_unc_mosaic = 1 use_std_to_de
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MOPEX User’s Guide Tile BCD file
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MOPEX User’s Guide Window X, Y: (
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⎛ ⎜ ⎜ P( j) = ⎜ 1+ ⎜ ⎜
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&END MOPEX User’s Guide if use_ps
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MOPEX User’s Guide \float Tile_Of
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&END OUTPUT MOPEX User’s Guide Th
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INPUT Columns selection: MOPEX User
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PURPOSE MOPEX User’s Guide Fits t
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MOPEX User’s Guide given below. O
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6.5.19 APEX Modules: Aperture Photo
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Condition Builder: Some simple sele
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MOPEX User’s Guide Fatal Mask Bit
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MOPEX User’s Guide Pixel by Size:
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MOPEX User's Guide - IRSA

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