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NAME

       FunRegions - Spatial Region Filtering

SYNOPSIS

       This document contains a summary of the user interface for spatial region filtering images and tables.

DESCRIPTION

       Spatial  region  filtering allows a program to select regions of an image or rows of a table (e.g., X-ray
       events) to process using simple geometric shapes and boolean combinations of shapes.  When  an  image  is
       filtered,  only pixels found within these shapes are processed. When a table is filtered, only rows found
       within these shapes are processed.

       Spatial region filtering for images and tables is accomplished by  means  of  region  specifications.   A
       region  specification  consists  of  one  or more region expressions, which are geometric shapes,combined
       according to the rules  of  boolean  algebra.   Region  specifications  also  can  contain  comments  and
       local/global processing directives.

       Typically,  region  specifications  are  specified using bracket notation appended to the filename of the
       data being processed:

         foo.fits[circle(512,512,100)]

       It is also possible to put region specification inside a file and  then  pass  the  filename  in  bracket
       notation:

         foo.fits[@my.reg]

       When  region filters are passed in bracket notation in this manner, the filtering is set up automatically
       when the file is opened and all processing occurs through the filter. Programs also can  use  the  filter
       library API to open filters explicitly.

       Region Expressions

       More specifically, region specifications consist of one or more lines containing:

         # comment until end of line
         global   keyword=value keyword=value  ... # set global value(s)
         # include the following file in the region descriptor
         @file
         # use the FITS image as a mask (cannot be used with other regions)
         @fitsimage
         # each region expression contains shapes separated by operators
         [region_expression1], [region_expression2], ...
         [region_expression], [region_expression], ...

       A single region expression consists of:

         # parens and commas are optional, as is the + sign
         [+-]shape(num , num , ...) OP1 shape num num num OP2 shape ...

       e.g.:

         ([+-]shape(num , num , ...) && shape num  num ⎪⎪ shape(num, num)
         # a comment can come after a region -- reserved for local properties
         [+-]shape(num , num , ...)  # local properties go here, e.g. color=red

       Thus,  a  region  descriptor  consists  of one or more region expressions or regions, separated by comas,
       new-lines, or semi-colons.  Each region consists of one or more geometric shapes combined using  standard
       boolean operation.  Several types of shapes are supported, including:

         shape:        arguments:
         -----         ----------------------------------------
         ANNULUS       xcenter ycenter inner_radius outer_radius
         BOX           xcenter ycenter xwidth yheight (angle)
         CIRCLE        xcenter ycenter radius
         ELLIPSE       xcenter ycenter xwidth yheight (angle)
         FIELD         none
         LINE          x1 y1 x2 y2
         PIE           xcenter ycenter angle1 angle2
         POINT         x1 y1
         POLYGON       x1 y1 x2 y2 ... xn yn

       In addition, the following regions accept accelerator syntax:

         shape      arguments
         -----      ------------------------------------------
         ANNULUS    xcenter ycenter radius1 radius2 ... radiusn
         ANNULUS    xcenter ycenter inner_radius outer_radius n=[number]
         BOX        xcenter ycenter xw1 yh1 xw2 yh2 ... xwn yhn (angle)
         BOX        xcenter ycenter xwlo yhlo xwhi yhhi n=[number] (angle)
         CIRCLE     xcenter ycenter r1 r2 ... rn              # same as annulus
         CIRCLE     xcenter ycenter rinner router n=[number]  # same as annulus
         ELLIPSE    xcenter ycenter xw1 yh1 xw2 yh2 ... xwn yhn (angle)
         ELLIPSE    xcenter ycenter xwlo yhlo xwhi yhhi n=[number] (angle)
         PIE        xcenter ycenter angle1 angle2 (angle3) (angle4) (angle5) ...
         PIE        xcenter ycenter angle1 angle2 (n=[number])
         POINT      x1 y1 x2 y2 ... xn yn

       Note  that  the circle accelerators are simply aliases for the annulus accelerators.  See region geometry
       for more information about accelerators.

       Finally, the following are combinations of pie  with  different  shapes  (called  "panda"  for  "Pie  AND
       Annulus") allow for easy specification of radial sections:

         shape:  arguments:
         -----   ---------
         PANDA   xcen ycen ang1 ang2 nang irad orad nrad   # circular
         CPANDA  xcen ycen ang1 ang2 nang irad orad nrad   # circular
         BPANDA  xcen ycen ang1 ang2 nang xwlo yhlo xwhi yhhi nrad (ang) # box
         EPANDA  xcen ycen ang1 ang2 nang xwlo yhlo xwhi yhhi nrad (ang) # ellipse

       The panda and cpanda specify combinations of annulus and circle with pie, respectively and give identical
       results. The bpanda combines box and pie, while epanda combines ellipse and pie.  See region geometry for
       more information about pandas.

       The following "shapes" are ignored by funtools (generated by ds9):

         shape:        arguments:
         -----         ---------
         PROJECTION    x1 y1 x2 y2 width    # NB: ignored by funtools
         RULER         x1 y1 x2 y2          # NB: ignored by funtools
         TEXT          x y                  # NB: ignored by funtools
         GRID                               # NB: ignored by funtools
         TILE                               # NB: ignored by funtools
         COMPASS                            # NB: ignored by funtools

       All  arguments  to  regions  are  real  values;  integer values are automatically converted to real where
       necessary.  All angles are in degrees and run from the  positive  image  x-axis  to  the  positive  image
       y-axis. If a rotation angle is part of the associated WCS header, that angle is added implicitly as well.

       Note that 3-letter abbreviations are supported for all shapes, so that you can specify "circle" or "cir".

       Columns Used in Region Filtering

       By  default,  the  x,y  values  in a region expression refer to the two "image binning" columns, i.e. the
       columns that would be used to bin the data into an image. For images, these are just the 2 dimensions  of
       the  image.  For tables, these usually default to x and y but can be changed as required. For example, in
       Funtools, new binning columns are specified using a  bincols=(col1,col2)  statement  within  the  bracket
       string on the command line.

       Alternate columns for region filtering can be specified by the syntax:

         (col1,col2)=region(...)

       e.g.:

         (X,Y)=annulus(x,y,ri,ro)
         (PHA,PI)=circle(x,y,r)
         (DX,DY)=ellipse(x,y,a,b[,angle])

       Region Algebra

       (See also Region Algebra for more complete information.)

       Region shapes can be combined together using Boolean operators:

         Symbol        Operation       Use
         --------      ---------       -----------------------------------
         !             not             Exclude this shape from this region
         & or &&       and             Include only the overlap of these shapes
         ⎪ or ⎪⎪       inclusive or    Include all of both shapes
         ^             exclusive or    Include both shapes except their overlap

       Note  that  the  !region syntax must be combined with another region in order that we be able to assign a
       region id properly. That is,

         !circle(512,512,10)

       is not a legal region because there is no valid region id to work with.  To get the full field without  a
       circle, combine the above with field(), as in:

         field() && !circle(512,512,10)

        Region Separators Also Are Operators

       As  mentioned  previously, multiple region expressions can be specified in a region descriptor, separated
       by commas, new-lines, or semi-colons.  When such  a  separator  is  used,  the  boolean  OR  operator  is
       automatically  generated  in  its  place  but,  unlike  explicit use of the OR operator, the region ID is
       incremented (starting from 1).

       For example, the two shapes specified in this example are given the same region value:

         foo.fits[circle(512,512,10)⎪⎪circle(400,400,20)]

       On the other hand, the two shapes defined in the following example are given different region values:

         foo.fits[circle(512,512,10),circle(400,400,20)]

       Of course these two examples will both mask the same table rows or  pixels.  However,  in  programs  that
       distinguish  region  id's  (such  as funcnts ), they will act differently.  The explicit OR operator will
       result in one region expression consisting of two shapes having the  same  region  id  and  funcnts  will
       report a single region. The comma operator will cause funcnts to report two region expressions, each with
       one shape, in its output.

       In  general,  commas  are  used to separate region expressions entered in bracket notation on the command
       line:

         # regions are added to the filename in bracket notation
         foo.fits[circle(512,512,100),circle(400,400,20)]

       New-lines are used to separate region expressions in a file:

         # regions usually are separated by new-lines in a file
         # use @filename to include this file on the command line
         circle(512,512,100)
         circle(400,400,20)

       Semi-colons are provided for backward compatibility with the original IRAF/PROS implementation and can be
       used in either case.

       If a pixel is covered by two different regions expressions, it is given  the  mask  value  of  the  first
       region  that  contains  that pixel.  That is, successive regions do not overwrite previous regions in the
       mask, as was the case with the original PROS regions.  In this way, an individual pixel is covered by one
       and only one region.  This means that one must sometimes be careful about the order in which regions  are
       defined.   If  region N is fully contained within region M, then N should be defined before M, or else it
       will be "covered up" by the latter.

       Region Exclusion

       Shapes also can be globally excluded from all the region specifiers in a region  descriptor  by  using  a
       minus sign before a region:

         operator      arguments:
         --------      -----------
         -             Globally exclude the region expression following '-' sign
                       from ALL regions specified in this file

       The global exclude region can be used by itself; in such a case, field() is implied.

       A  global exclude differs from the local exclude (i.e. a shape prefixed by the logical not "!" symbol) in
       that global excludes are logically performed last, so that no region will contain pixels from a  globally
       excluded  shape. A local exclude is used in a boolean expression with an include shape, and only excludes
       pixels from that include shape.  Global excludes cannot be used in boolean expressions.

       Include Files

       The @filename directive specifies an include file containing region expressions. This file  is  processed
       as part of the overall region descriptor:

         foo.fits[circle(512,512,10),@foo]

       A  filter include file simply includes text without changing the state of the filter. It therefore can be
       used in expression. That is, if the file foo1 contains  "pi==1"  and  foo2  contains  "pha==2"  then  the
       following expressions are equivalent:

         "[@foo1&&@foo2]"   is equivalent to   "[pi==1&&pha==2]"
         "[pha==1⎪⎪@foo2]"  is equivalent to   "[pi==1⎪⎪pha==2]"
         "[@foo1,@foo2]"    is equivalent to   "[pi==1,pha==2]"

       Be  careful  that you specify evaluation order properly using parenthesis, especially if the include file
       contains multiple filter statements. For example, consider a file containing two regions such as:

         circle 512 512 10
         circle 520 520 10

       If you want to include only events (or pixels) that are in these regions and have a pi value of  4,  then
       the correct syntax is:

           pi==4&&(@foo)

       since this is equivalent to:

           pi==4 && (circle 512 512 10 ⎪⎪ circle 520 520 10)

       If you leave out the parenthesis, you are filtering this statement:

           pi==4 && circle 512 512 10 ⎪⎪ circle 520 520 10)

       which is equivalent to:

           (pi==4 && circle 512 512 10) ⎪⎪ circle 520 520 10)

       The latter syntax only applies the pi test to the first region.

       For  image-style  filtering,  the  @filename can specify an 8-bit or 16-bit FITS image. In this case, the
       pixel values in the mask image are used as the region mask. The  valid  pixels  in  the  mask  must  have
       positive  values.  Zero values are excluded from the mask and negative values are not allowed.  Moreover,
       the region id value is taken as the image pixel value and the total number of regions is taken to be  the
       highest  pixel value. The dimensions of the image mask must be less than or equal to the image dimensions
       of the data. The mask will be replicated as needed to match the size of the image.  (Thus,  best  results
       are obtained when the data dimensions are an even multiple of the mask dimensions.)

       An  image  mask  can  be used in any image filtering operation, regardless of whether the data is of type
       image or table. For example, the funcnts ) program performs image filtering on images or tables,  and  so
       FITS  image  masks are valid input for either type of data in this program.. An image mask cannot be used
       in a program such as fundisp ) when the input data is a table, because fundisp displays rows of  a  table
       and processes these rows using event-style filtering.

       Global and Local Properties of Regions

       The  ds9  image  display program describes a host of properties such as color, font, fix/free state, etc.
       Such properties can be specified globally (for all regions) or locally (for an individual  region).   The
       global  keyword specifies properties and qualifiers for all regions, while local properties are specified
       in comments on the same line as the region:

         global color=red
         circle(10,10,2)
         circle(20,20,3) # color=blue
         circle(30,30,4)

       The first and third circles will be red, which the second  circle  will  be  blue.   Note  that  funtools
       currently ignores region properties, as they are used in display only.

        Coordinate Systems

       For  each region, it is important to specify the coordinate system used to interpret the region, i.e., to
       set the context in which position and size values  are  interpreted.  For  this  purpose,  the  following
       keywords are recognized:

         name                  description
         ----                  ------------------------------------------
         PHYSICAL              pixel coords of original file using LTM/LTV
         IMAGE                 pixel coords of current file
         FK4, B1950            sky coordinate systems
         FK5, J2000            sky coordinate systems
         GALACTIC              sky coordinate systems
         ECLIPTIC              sky coordinate systems
         ICRS                  currently same as J2000
         LINEAR                linear wcs as defined in file
         AMPLIFIER             mosaic coords of original file using ATM/ATV
         DETECTOR              mosaic coords of original file using DTM/DTV

       Specifying Positions, Sizes, and Angles

       The  arguments  to  region  shapes can be floats or integers describing positions and sizes.  They can be
       specified as pure numbers or using explicit formatting directives:

         position arguments    description
         ------------------    ------------------------------
         [num]                 context-dependent (see below)
         [num]d                degrees
         [num]r                radians
         [num]p                physical pixels
         [num]i                image pixels
         [num]:[num]:[num]     hms for 'odd' position arguments
         [num]:[num]:[num]     dms for 'even' position arguments
         [num]h[num]m[num]s    explicit hms
         [num]d[num]m[num]s    explicit dms

         size arguments        description
         --------------        -----------
         [num]                 context-dependent (see below)
         [num]"                arc seconds
         [num]'                arc minutes
         [num]d                degrees
         [num]r                radians
         [num]p                physical pixels
         [num]i                image pixels

       When a "pure number" (i.e. one without a format directive such as 'd' for 'degrees')  is  specified,  its
       interpretation depends on the context defined by the 'coordsys' keyword. In general, the rule is:

       All pure numbers have implied units corresponding to the current coordinate system.

       If no such system is explicitly specified, the default system is implicitly assumed to be PHYSICAL.

       In  practice this means that for IMAGE and PHYSICAL systems, pure numbers are pixels.  Otherwise, for all
       systems other than linear, pure numbers are degrees. For LINEAR systems, pure numbers are in the units of
       the linear system.  This rule covers both positions and sizes.

       The input values to each shape can be specified in several coordinate systems including:

         name                  description
         ----                  ----------------------------
         IMAGE                 pixel coords of current file
         LINEAR                linear wcs as defined in file
         FK4, B1950            various sky coordinate systems
         FK5, J2000
         GALACTIC
         ECLIPTIC
         ICRS
         PHYSICAL              pixel coords of original file using LTM/LTV
         AMPLIFIER             mosaic coords of original file using ATM/ATV
         DETECTOR              mosaic coords of original file using DTM/DTV

       If no coordinate system is specified, PHYSICAL is assumed. PHYSICAL or a World Coordinate System such  as
       J2000  is  preferred and most general.  The coordinate system specifier should appear at the beginning of
       the region description, on a separate line (in a file), or followed by a new-line or semicolon; e.g.,

         global coordsys physical
         circle 6500 9320 200

       The use of celestial input units automatically implies WORLD coordinates of the reference  image.   Thus,
       if the world coordinate system of the reference image is J2000, then

         circle 10:10:0 20:22:0 3'

       is equivalent to:

         circle 10:10:0 20:22:0 3' # j2000

       Note  that  by  using units as described above, you may mix coordinate systems within a region specifier;
       e.g.,

         circle 6500 9320 3' # physical

       Note that, for regions which accept a rotation angle:

       ellipse (x, y, r1, r2, angle) box(x, y, w, h, angle)

       the angle is relative to the specified coordinate system. In particular, if the region  is  specified  in
       WCS  coordinates, the angle is related to the WCS system, not x/y image coordinate axis.  For WCS systems
       with no rotation, this obviously is not an issue.  However, some images do define  an  implicit  rotation
       (e.g.,  by  using  a  non-zero CROTA value in the WCS parameters) and for these images, the angle will be
       relative to the WCS axes. In such case, a region specification such as:

       fk4;ellipse(22:59:43.985, +58:45:26.92,320", 160", 30)

       will not, in general, be the same region specified as:

       physical;ellipse(465, 578, 40, 20, 30)

       even when positions and sizes match. The angle is relative to WCS axes in the first case, and relative to
       physical x,y axes in the second.

       More detailed descriptions are available for: Region Geometry, Region Algebra,  Region  Coordinates,  and
       Region Boundaries.

SEE ALSO

       See funtools(7) for a list of Funtools help pages

version 1.4.5                                    April 14, 2011                                    funregions(7)