The Postage Stamp Pipeline


Table of Contents

  • Introduction
  • Inputs
  • Outputs
  • Algorithms
  • Running the PSP
  • Flow charts

  • Introduction to the Postage Stamp Pipeline

    As described in Photo Introduction, Photo operates on a frame by frame basis (the photometric data stream from each CCD in the photometric array is cut into frames of 2048 x 1362 pixels). However, the processing needs information for the entire run: quantities such as the point spread function, the sky brightness, and the flat field and bias vectors are not local quantities, but are determined as a function of time, smoothed where appropriate, and interpolated to each frame. This part of the data analysis is performed by the Postage Stamp Pipeline (PSP).

    The name of this pipeline comes from "stamps", small regions cut out from large, 2048 x 1362 pixels, frames. The stamps can have three "flavors". The smallest (65x65 pixels) stamps contain a bright object detected by both leading and trailing astrometric chips. There are about 10-100 such stamps per frame. "Wing" stamps are somewhat larger (200x200 pixels) and contain very bright stars (those that saturate CCDs, about 8-14 mag) whose list is provided separately. These stars are used to constrain the outer "wing" part of the PSF. The third type of stamps, "frame" stars, are indeed full frames and contain extremely bright stars (brighter than ~8 mag) which are used to characterize the ghost structures. There are typically several "wing" stars and about one "frame" star per run. Magnitude ranges for the "wing" and "frame" stars (in whatever passband is in the catalog) are specified in scParam.par , an input file for the Serial Stamp Collecting Pipeline (SSC).

    The PSP tasks include:

    Input to PSP is provided through a set a files which contain the description of each CCD (information on bad columns etc.), bias vector and data quartiles produced by the DA system, and postage stamps cut out by SSC. Performance of PSP algorithms is controlled by the processing plan and tunable parameters files. Outputs from PSP include bias and flatfield vectors for each frame, as well as bias drift values, sky level, PSF characterization, and preliminary photometric calibration, and are written to a directory specified by user in psPlan.par file. In addition, user can choose to produce several PostScript plots which can be used as quick QA tests. The PSP outputs are used exclusively by the Frames Pipeline.

    Postage Stamp Pipeline Inputs

    The relevant inputs to the PSP are: PSP finds the location of all input files by reading psPlan.par file. A detailed description of all input files is given as a part of Survey Interface File Formats Web page. These files include (an * stands for a string describing run, filter, camera row and frame sequence number): There is another input file, so called cellprofile file , which is internal to Photo. Its full path has to specified in psParam.par file by using keyword cellprofile_file. This file contains precalculated PSF models to be used in the PSF characterization, and can be produced by running sdssmake.

    Postage Stamp Pipeline Outputs

    Tha main output from PSP includes the flat-field vector, the point-spread function parameters and preliminary photometric and astrometric calibrations. A detailed description of all output files is provided as a part of Survey Interface File Formats Web page. The output files are (an * stands for a string describing run, filter, camera row and frame sequence number):

    In addition to the above FITS files which contain data to be used by downstream pipelines, there are several additional diagnostics files (mostly in PostScript format) which help in assessing the reliability of PSP outputs:

    Production of the above PostScript files is controlled by a set of flags defined in psPlan.par.

    Postage Stamp Pipeline Algorithms

    PSP tasks can be divided into 3 parts:

    Each part is independent of the other two, and their flow charts are presented separately. The aim of this document is to list what happens to the data on its way through those 3 PSP segments, and to describe the algorithms for determining the output quantities. However, note that this document does not describe source code which can be studied directly by (per)using C (*.c) and Tcl (*.tcl) files which can be found in Photo's directories /src and /etc, respectively.

    Determination of bias, sky and flat field

    Within the usual operating range CCD detectors respond linearly to the incoming light. Nevertheless, this response varies from pixel to pixel, which requires a correction. Also, some signal is detected even in the absence of incoming light and has to be subtracted from the raw data. In addition to these two corrections, flat-fielding and bias, sky brightness (i.e. the background level) has to be known before the properties of detected objects can be measured.

    When the drift scanning technique is employed, pixels along the scanning direction (rows) are integrated together, and all three above quantities depend only on the chip columns (at a given time). The bias, flat-field and sky are determined on a frame by frame basis (corresponding to intervals of about 37 sec; note that the these values are mean filtered over 55 sec exposure time and over a 14 arcmin long strip on the sky). Another simplification is that the overall bias shape as a function of column is rather stable and it is sufficient to continuosly monitor only its overall shift called the bias drift. For this purpose each chip has an overclock region, a 40 columns wide strip not exposed to the incoming light.

    Two kinds of input data are used for the bias, flat-field and sky determination:

    The bias vector is determined in a bias run (a normal drift scan with the "shutter" closed); each value in the bias vector is the median value of all pixel values along its associated column. This vector provides the overall bias shape as a function of column, and comes from idB*.fit files (one file per chip).

    Data quartiles are determined for an imaging run. They include 25%, 50% (median), and 75% quartiles of the pixel values in each column, and are evaluated by the DA system on a frame by frame basis. These values are copied by SSC pipeline from the DA output files to scFang*.fit files which are part of the PSP input.

    Bias drift for each frame is evaluated as the difference between the mean 50% quartile value in the overclock region (mean over 40 columns) determined for the imaging run, and that determined from the bias vector. Overclock region columns with negative 50% quartile values (DA system's signal that the value is unreliable) are not taken into account. If a chip has two amplifiers, the bias drift is evaluated for each one separately (`left' and `right' bias drifts).

    Flat-field and sky level determination assumes that only a minority of pixels are covered by objects, so that most of them are representative of the sky level. In addition, it is assumed that the sky level does not vary significantly across the frame (about 14 arcmin) and during the exposure time (about 55 sec). With these assumptions, the flat-field correction (vector) for a given frame is determined from the variation of median pixel values for each column. The mean value of these medians is taken to be the sky level for this chip and frame. Sky level error is determined from the mean difference of the 25% and 75% quartiles.

    Large objects comparable in size to the whole frame can affect the pixel values distribution. For this reason, the flat-field and bias vectors, and sky values are smoothed and interpolated over a sequence of frames. Details of this procedure and parameters from psParam.par which control its performance are described elsewhere. Currently used method is a median filter about 10 frames wide, but a mean filter and a Lorentzian weighting function are also available.

    This part of PSP also calculates the dark current variance from read noise and gain (the ratio of photon to electron counts) values, and the mean gain in case of 2 amplifiers. The dark current variance might eventually be determined directly from bias frames.

    Characterization of the point spread function

    The star/galaxy separation (and object recognition in general) cannot be done without the detailed knowledge of the point spread function (a finite size image of a point source due to the atmospheric turbulence, telescope optics, and pixel response effects). The point spread function (PSF) in general varies with time and is currently determined on a frame by frame basis (it is assumed that the PSF does not vary accros a frame).

    There are two PSF descriptions used in Photo. The first one is used for object classification in Frames and utilizes a pre-calculated catalog of models based on a sum of circularly symmetric Gaussians. In this representation, the PSF is described by the weights of these components, and indices indicating their widths, in a model which provides the best-fit to a profile characteristic of the PSF. The fitting is done on a cell by cell basis, where a cell is a union of pixels which traces both the angular and radial structure of an object's image (an object is divided into 12 angular sectors, and each sector is further divided radially into cells, with the number of pixels in each cell increasing with the radial distance; for details see the document SDSS Profile Extraction). The second representation describes the PSF in terms of best-fit model parameters determined by fitting a sum of two Gaussians and a power-law wing to the PSF profile, and is used for subtraction of bright objects (this representation handles much larger dynamic range than the first one).

    As it can happen that some frames do not have enough bright stars for the PSF determination (especially in u band), several frames are combined together. The number of frames to be considered is a free parameter specified, as well as all other free input parameters which control the PSF determination, in file psParam.par.

    Images of objects whose profiles are used for the PSF determination are supplied by the SSC pipeline in input files as three types of stamps. 65x65 pixel stamps are the basic type which is necessary to run the PSP. They contain moderately bright objects, usually from several to about a hundred per frame. Bright objects needed to characterize the outer part of the PSF (i.e. the power-law wing) are supplied as 200x200 pixel stamps, usually several per camera column and run. Images of extremely bright objects are supplied as whole frames. The PSP can run without the latter two types of stamps, in which case it assumes that the index of the power-law wing is -3 (after Racine 1996), and fits only its scale.

    The most complex task in determining the PSF is to select objects whose profile is representative of the PSF, from all objects provided in stamps. In essence, the algorithm is based on successive clippings of `odd' profiles until a uniform sample is obtained. Such clippings can be divided into 2 groups:

    Individual rejection

    As the objects are extracted from the postage stamps (i.e. counts for each cell are determined), a set of flags is set, each indicating that something is not right with that particular object. Objects that have any of the following flags set are excluded from the subsequent consideration for the PSF determination:

    While the remaining objects have well determined profiles/properties, not all of them are representative of the PSF for a given frame.

    Statistical rejection

    From the pool of objects which survived the initial rejection, a smaller sample is defined on a frame by frame basis. It contains all the objects recorded on a number of frames preceeding and succeeding the current frame. For such a sample a list of statistical clippings is performed. Performance and turning on/off each of these steps is controlled by parameters specified in psParam.par. Here they have the same names as in that file and are printed in typewriter font. The clipping algorithms include and are executed in the following order:

    Note that objects which are rejected for some frames can be used on other frames.

    Once a sample of 'good' objects for a given frame is formed, the best-fit pre-calculated model is determined from their mean profile. This profile is also used to calculate several photometric corrections (e.g. the aperture correction used to convert psfCounts to the counts within some aperture, currently aperture 3, with radius 4.41 pixels XXX).

    The same sample of stars is used to find a composite profile. The composite profile is formed from a sample of stars which greatly vary is brightness, and has increased dynamic range. If 'wing' and 'frame' stars are available, their profiles are added to the composite profile, and a sum of 2 Gaussians and a power-law wing is fitted to it. In the case that a composite profile does not extend far enough (i.e. 'wing' and 'frame' stars are not bright enough), it is assumed that the index of power-law wing is -3 (after Racine 1996), and only its scale is fitted. In extreme cases (corresponding to the ratio of the intensity of the last point in the profile to the central intensity greater than 0.001) the power-law wing is ignored completely, and only 2 Gaussians are fitted to the composite profile.

    Preliminary astrometric and photometric calibration

    Astrometric part is trivial. Six coefficients which transform frame coordinates (row, col) to great circle coordinates (mu,nu) for a given inclination are read from asTrans*.fit file and simply copied to psCB*.fit file. Note that these transformations are given for the photometric CCDs only (not the astrometric CCDs).

    Photometric calibration is somewhat more involved. Its task is to determine, for each frame and color, flux20, the number of counts corresponding to a 20th magnitude object at zero airmass whose color index is refcolor (refcolor is currently hard-coded as 0). This is done by matching the postage stamps (after they passed individual rejection) to a list of objects provided by the MT calibration system (which are observed nearly simultaneously with the main survey, more details can be found in chapter Photometric Calibration and the Monitor Telescope of the SDSS NASA Proposal, aka Black Book). Postage stamps provide counts, and the MT list provides magnitudes and colors for the objects used in calibration. Assuming that log(flux20) varies linearly with the color index

    log(flux20) = log(flux) + 0.4*(m-20) - b*color + b*refcolor - k*z,

    where

    The first three terms in the above equation are evaluated as a weighted mean for a list of matched objects, with the weights equal to quoted inverse variances.

    Running the Postage Stamp Pipeline

    This document assumes that Photo and all other required SDSS products have been properly installed. For details of this procedure please refer to other SDSS documentation. The aim of this document is to lead a user step-by-step through an execution with a lot of diagnostic output.

    Assuming that Photo's home directory is $PHOTO (in the following example $PHOTO = /u/ivezic/photo), Photo is executed by

    $PHOTO/bin/photo

    which produces the following response ('>' is the Unix shell prompt):

    >$PHOTO/bin/photo
    Executing commands in /u/products/IRIX/astrotools/v3_0/etc/astrotoolsStartup.tcl
    
    Executing commands in /u/products/IRIX/dervish/v6_6/etc/dervishStartup.tcl: 
    Executing commands in /u/ivezic/photo/startup.shiva: 
    Executing commands in /u/ivezic/photo/startup.photo: 
    Executing commands in /u/ivezic/photo/startup.ZI: 
    photo>              
    
    In the case of using 'display' output (SAO Image),

    photo> set_mtv

    should be used for launching an SAO Image Display window.

    Now, one can either change directories to a directory containing the psPlan.par file (e.g. $PHOTODATA_DIR), and then run the pipeline:

    photo> cd $PHOTODATA_DIR
    photo> run_psp_pipeline
    
    or, supply the name of the file (including a relative or absolute path) as an argument to the pipeline script:
    photo> run_psp_pipeline $PHOTODATA_DIR/psPlan.par
    
    The following example is based on observations of the Hubble Deep Field by using the 3.5 m Apache Point Observatory reflector and SPICAM camera. All display_* keywords in psPlan.par file have been set to 1 (except display_psf=2 and display_flat=2), and verbose to 0. For verbose > 0 more text output is produced, with the text amount proportional to the selected value of verbose (on a scale 1-10). All plots described below are displayed on a monitor. However, a few of them can be also obtained in PostScript version as a part of the PSP output .

    The following plots are shown (click on the name for an example):


    The Postage Stamp Pipeline Flow Charts

  • Determination of bias, sky and flat field
  • Characterization of the point spread function
  • Preliminary astrometric and photometric calibration

  • Determination of bias, sky and flat field

     
    Initialise Modules, Read Plan/Parameter Files
    
    Foreach filter {
    
        Read bias vector for this run from idB*.fit file 
     
        Read data quartiles for all frames from scFang*.fit files
    
        Foreach frame {    
          
               /* bias drift: median over rows, mean over overscan columns */
               Bias drift = mean(median(imaging run) - median(bias run))
               /* flat-field: median over rows */
               Foreach column {    
                  Flat-field = median(imaging run)    /* normalized */
               }
               /* sky: mean over data columns */
               Sky = mean(flat_field)       
        }
    
        Foreach frame {    
            Smooth and interpolate bias drift, flat-field and sky  
            Write flat-field to file psFF*.fit
            Write bias drift and sky to file psCB*.fit
        }
    }
    
    
    

    Characterization of the point spread function

     
    Initialise Modules, Read Plan/Parameter Files
    
    Foreach filter {
       
        Determine mean (over all frames) gains and dark variances
      
    }
    
    Retrieve information on 200x200 stamps
    
    Foreach filter {
    
        Foreach frame {
    
            Read the flat-field vector (from a psFF*.fit file)
    
            Read 65x65 stamps (from a scFang*.fit file) 
    
            Extract profiles for 65x65 stamps 
    
            If available { Read 200x200 stamps
    
                           Extract profiles for 200x200 stamps
            }
             
        }
    
        Reject objects with any of individual flags set on
     
    }
    
    /* these two loops over filters are separated because the above is
    coded at Tcl level, and the following one in C */
    
    Foreach filter {
    
        Foreach frame {
    
            Form a subsample of objects 
         
            Clip the subsample on the deviation from a median in each cell
    
            Clip the subsample on the extracted profile shape (QU)  
     
            Clip the subsample on the extracted profile size (2 Gaussians fit)    
    
            Clip the subsample by using a best-fit model PSF 
    
            Clip the subsample until it is uniform (measured by chi2) 
     
            Determine the mean PSF profile and the best-fit model PSF
    
            Determine composite profile
    
            Add bright objects' profiles to the composite profile 
    
            Calculate photometric corrections (aperture correction etc.)
    
        }       
              
    }
     
    
    
    

    Preliminary astrometric and photometric calibration

     
    Read astrometric transformation coefficients for each frame and filter
      (from asTrans*.fit file) 
    
    Calculate time and airmass for each frame and filter 
      (by using information from scFang*.fit files headers) 
    
    Read zero points, extinction coefficients and color terms for each filter 
      (from exPhotom*.par file) 
    
    Read positions and magnitudes in each filter of objects detected in the 
      MT pipeline (from kaCalObj*.fit files, aka patch files) 
    
    Read color terms for each filter from psParam.par file
      (to be used in log(flux20) = a + color_term * color_index)
    
    Read counts in each filter for a 20th mag object 
      (from an old calibration file, psCT*.fit)
     
    Setup extinction arrays for interpolation 
      (extinction coefficient for each filter as a function of time) 
    
    Foreach frame {
    
        If No MT patches 
    
            Use old calibration(time) from psCT*.fit  
    
        Else {
    
            Foreach patch file {
                
                Match PS stars with MT stars
                    
                Determine time and calibration(filter) for this patch file
    
            }
             
        }
    
        Interpolate calibration(time,filter) to each frame       
    
    }
    

    Appendix


    psPlan.par: plan file for Postage Stamp Pipeline

    This is an example of psPlan.par file which is used to supply all logistical information to PSP (parameters which control PSP algorithms are supplied in
    psParam.par. All data is entered in form keyword - value. In case of multiple entries the last one counts. This example assumes that the data is stored in directory $PHOTODATA_DIR.
    
    
    ################################################################# 
    # This is the Plan file for the Postage Stamp Pipeline
    
    #
    # Required Generic Plan Fields
    action              ps                    # Plan type
    version             v1.0                  # Software version to use
    parameters          psParam.par           # Tunable parameters file
    
    #
    # Optional Generic Plan Fields
    priority            1                     # Execution priority
    oid                 "23.45.34.23"         # Database object identifier
    targetDate          "1999/04/18"          # Target date (local time zone)
    created             "1965/04/18 05:40:00" # Creation time (UT)
    authors             "User Abuser"  	  # Authors
    comment             "example"             # Comment
    diagnostics         1                     # if > 0, do create a file with
                                              # diagnostic output from each field
    diagFile            psDiag                # prefix of the file into which 
                                              # diagnostic output will be placed.
                                              # Name will include run and camCol. 
    
    #
    # additional info 
    nfilters            5                     # number of filters with data in scFang files
    stampsize           65                    # size on a side of postage stamps
    refcolor            r                     # to which the chip to chip trans transforms
    # filters order
    ccdrow_r            1
    ccdrow_i            2
    ccdrow_u            3
    ccdrow_z            4
    ccdrow_g            5
    ccdrow_o            6
    ccdrow_l            7
    ccdrow_t            8
    ccdrow_s            9
    
    #################################################################
    # List of paths to various required files
    
    # the param file given above as 'parameters' may be found here
    parametersDir 	    $PHOTODATA_DIR/input
    
    # directory with bias data (idB*.fit files)
    biasDir             $PHOTODATA_DIR/idB
    
    # directory with the CCD parameters file ...
    configDir           $PHOTODATA_DIR/input
    # and file names
    ccdConfig           opConfig-51259.par    # amplif. config
    ccdBC      	    opBC-51259.par	  # bad column file
    ccdECalib 	    opECalib-51259.par	  # readnoise/gain file 
    
    # the fangs, output of SSC pipeline may be found here
    fangDir             $PHOTODATA_DIR/fangs
    
    # astrometric transformations for this run
    transFileDir        $PHOTODATA_DIR/input
    transFile	    asTrans-000581.fit
    
    # monitor telescope photoms 
    photomFileDir	    $PHOTODATA_DIR/input
    photomFile 	    exPhotom-51261.fit
    
    # monitor telescope secondary patches are here
    mtPatchFormat       mtPatch-%08d.fit
    mtPatches           {95-25-1 $PHOTODATA_DIR/input}\ 
                        {90-25-1 $PHOTODATA_DIR/input}\ 
                        {95-25-2 $PHOTODATA_DIR/input}\
                        {90-25-2 $PHOTODATA_DIR/input}  
    
    # default calibration is here (last good output from psp)
    ctFileDir           $PHOTODATA_DIR/output
    ctFile              psCT-000581-3.fit
    
    # put the output here:
    outputDir 	    $PHOTODATA_DIR/output
    
    
    #################################################################
    # Processing Parameters
    
    # the important stuff
    run                 581                 # Imaging run number. 
    camCol   	      1		        # Camera column
    startField           10                 # start pipeline with this field
    endField             66                 # stop with this (inclusive)
    filterlist    u g r i z                 # filters to include when processing
      
    # aux stuff
    verbose               1                 # verbose > 0 means print a lot
    trace_memory	      1
    crc_nbyte_max     20000
    
    ### display requests (0: off) ###
    display		      0    # display on/off (-1 for w/o prompting)
    
    # the following flags control saoimage display 
    display_raw	      0    # show the raw PSF stamps
    display_psf	      0    # show the corrected PSF stamps (2 for rejects)
    display_PSFstars      0    # show good and clipped PSF stars
    display_average_psf   0    # display the average of PS stars
    display_wing          0    # display corrected wing stamps
    display_symmetry      0    # display residual after subtracting symmetric image
    display_flat	      0    # display flatfield (>1 for the smoothed flat-field vector)
    
    # the following flags control pgplot display
    display_bias          0    # plot bias 
    display_clipping      0    # plots of (sigma1,sigma2) and (Q,U) for good stars 
                               # for >1 produces hard copies in outdir (psPlotsQU*.ps)
    display_rejection     0    # display rejection statistics for all frames 
                               # for >1 produces hard copies in outdir (psPlotsRejecStats*.ps)
    display_profiles      0    # display stars' CELL_PROFs 
                               # for >1 produces hard copies in outdir (psPlotsCellProf*.ps)
    display_summary       0    # graphs at the end (also written to psPlots*.ps)    
     
      
    

    psParam.par: parameter file for Postage Stamp Pipeline

    This is an example of psParam.par file which specifies all parameters for controlling PSP algorithms. All data is entered in form keyword - value.
    
    #
    # Software parameters for postage stamp pipeline
    #
    
    ps_wingsize 200 			# size of stellar-wing patches
    
    # value at which a pixel is considered saturated
    ps_saturation_level        64000
    
    # software bias to prevent negative pix values after bias subtraction
    ps_soft_bias            1000
    
    # file of cell-array profiles (precalculated PSF models)
    cellprofile_file $PHOTO_DIR/lib/cellprof.dat	
    
    # parameters used by flatfields modules
    ps_smooth_length	0		# how to smooth the bias vectors
                                            # must set to 0, currently not used
    ff_ninterp              5               # controls the number of adjecent frames, nadj,
                                            # to smooth over (nadj = 2 * ff_ninterp + 1)
    ff_sigrej               3               # Rejection limit in sigmas
    ff_beta                 0               # index specifying interpolation (filtering) method
                                            # 0 = median, 1 = mean, > 1 a weighting function 
                                            # which -> delta function for ff_beta -> inf.
    left_buffer             0               # do not include last left_buffer pixels in left 
                                            # overscan region when determining bias drift 
    right_buffer            0               # do not include first right_buffer pixels in right 
                                            # overscan region when determining bias drift 
    
    # parameters used by the findCR function
    cr_min_sigma            6.0             # CRs must be > this many sky-sig above sky
    cr_min_e                150             # CRs must have > this many electrons in peak pixel
    cr_cond3                3.0             # used in condition 3 for CR; see CR.c code
    cr_cond32               0.6             # used in condition 3 for CR; see CR.c code
    
    # parameters used by makeStarlist  
    star1_aperature          5              # Index of radial profile aperature
                                            # to use for photometric calibration
    psf_def_rad             27              # rad out to which to use data for PS stars 
    wing_def_rad            60              # rad out to which to use data for wing stars                                    
    psf_threshold		 5		# % of peak to trigger asymmetry filter 
    sigma_multi             2.5             # number of sigma sky to trigger multiple flag
    sigma_badsky            3.0             # number of sigma for bad sky, 3.0
    second_peak             0.0001          # minimum required strength for the 2nd peak to
                                            # set MULTIPLE flag  
     
    # parameters used for selecting good PSF stars 
    min_starnum             2               # min. number of good stars needed for PSF
                                            # determination
    psf_nframe              3		# interpolate psfs over nframes frames (odd number)
    psf_niter		2		# number of times to iterate sigma clip
    soft_err_min            0.01            # minimal error for composite profile used
                                            # for softening before fitting the PSF
    soft_err_max            0.02            # maximal error for composite profile used
                                            # for softening before fitting the PSF
    nowing_option           2               # what to do w/o wing stars:
                                            # 1 = give up
                                            # 2 = assume some canonical values
    psf_critical_amplitude	5000		# if bad width and dgpsf->a > this,
       					# the stamp's bad in all bands
    # cliping parameters
     # cell by cell clip
    ncellclip               3.0             # how many sigma to clip cells at
    nbadcell                6               # how many bad cells to condemn a star  
    maxdev                  5.0             # maximal allowed deviation from the median
     # size and shape clip 
    psf_nsigma1		4.0		# number of sigma at which to clip sigma 
    psf_nsigma2		2.0		# number of sigma at which to clip QU 
     # clip on best_fit model PSF
    clip_mod                 0              # if < 1 do not clip on best-fit model
     # chi2 clip
    chisq_max               1.0             # max chi2 for all stars         
    chisq_cutoff            3.0             # max chi2 for a single star  
    
    # parameters used by photometricParameters module
    fpp_refcolor_u          g               # Band used with color terms in the u
    fpp_refcolor_g          r               # Band used with color terms in the g
    fpp_refcolor_r          g               # Band used with color terms in the r
    fpp_refcolor_i          r               # Band used with color terms in the i
    fpp_refcolor_z          i               # Band used with color terms in the z
    fpp_color_term_u       .01              # log(flux20) = a + color_term * color
    fpp_color_term_g       .01              # log(flux20) = a + color_term * color
    fpp_color_term_r       .01              # log(flux20) = a + color_term * color
    fpp_color_term_i       .01              # log(flux20) = a + color_term * color
    fpp_color_term_z       .01              # log(flux20) = a + color_term * color
    fpp_color_term_err_u       .001         # Error in color term for u
    fpp_color_term_err_g       .001         # Error in color term for g
    fpp_color_term_err_r       .001         # Error in color term for r
    fpp_color_term_err_i       .001         # Error in color term for i
    fpp_color_term_err_z       .001         # Error in color term for z
    fpp_starsep                   8         # Max sep (") for match to mt stars
    
    

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    ZI, February 1998