Mira Product Brief

MExtract Module — Source Extraction Definitions

The MExtract Module detects sources in an image and measures their properties. The measured properties are described below. Following the tables of definitions, see the discussion on "Threshold Sensitivity".

Properties Listed in the Report Window

The properties in the table below result from running the Source Extraction pipeline. They are listed in the Source Extraction Results window. Additional properties are measured and may be saved to a text file (see the second table, below).

#	A sequential number for the measurement
Image	The name of the image that was measured
Obj	The source number. If sources touch and are merged during the detection process, one of the numbers is discarded, making the Obj values generally not a continuous sequence.
<X>	The mean X position, measured in world coordinates. If Precision Centroid or Precision FWHM is checked on the Post Process page, this is measured in the same way as an interactively marked centroid using the settings on the Centroid page.
<Y>	The mean Y position, measured in world coordinates. If Precision Centroid or Precision FWHM is checked on the Post Process page, this is measured in the same way as an interactively marked centroid using the settings on the Centroid page.
Col	The mean Column position, measured in pixel coordinates. If Precision Centroid or Precision FWHM is checked on the Post Process page, this is measured in the same way as an interactively marked centroid using the settings on the Centroid page.
Row	The mean Row position, measured in pixel coordinates. If Precision Centroid or Precision FWHM is checked on the Post Process page, this is measured in the same way as an interactively marked centroid using the settings on the Centroid page.
Lum	The total luminance of the source above the background. If you think of pixel value as defining a 3 dimensional surface, the Lum value is the volume of the surface above background.
Mean Lum	The total luminance (Lum value) divided by the area.
Std Dev	The standard deviation of the luminance.
Ellip	The ellipticity, measured as 1 – (minor axis / major axis).
Angle	The angle of the major axis relative to the positive X axis (0 degrees), increasing through the positive Y axis (90 degrees).
Area	The area, in pixels, of the source above the threshold. This is threshold dependent.
Maximum	The maximum luminance. This is the pixel value of the highest pixel inside the source.
Minimum	The minimum luminance. This is the pixel value for the threshold value above the background.
FWHM	The Full Width at Half maximum brightness. This measures the point spread function of the source profile.
CI	Concentration Index. This is the ratio of the Effective Diameter divided by 2 times the radius of gyration. The Effective diameter is the diameter of a circle having the same area. The radius of gyration is the radius for the second moment of the intensity distribution (analogous to the moment of inertia of a rotating mass distribution). This is threshold dependent.
Major Axis	The major axis length in units of pixels. This is threshold dependent.
Minor Axis	The minor axis length in units of pixels. This is threshold dependent.
Kurtosis	The source profile kurtosis. This measures the "flatness" of the luminance distribution.
X Skew	The source profile skewness in the X direction. This measures the asymmetry of the luminance distribution.
Y Skew	The source profile skewness in the Y direction. This measures the asymmetry of the luminance distribution.
Background	The background value evaluated at the average position of the source (at <X> and <Y>).
Mag (Aperture Photometry)	The brightness of the source above its local background. It is integrated within an elliptical aperture surrounding the object. The Zero point value specified in the Aperture Photometry Setup dialog is also applied. This value and its related measurements are reported only if the Aperture Photometry option is checked on the Post Process page.
Error (Aperture Photometry)	The uncertainty in the photometric brightness or magnitude. This is computed using the signal and an error estimate based on variation in the pixel values inside the background annulus surrounding the source.
Error(T) (Aperture Photometry)	The theoretical estimate of the uncertainty in the photometic brightness or magnitude. This is computed using signal at each point along with the gain, readout noise, and exposure time for the image.
Net Count (Aperture Photometry)	The total signal of the source above its local background. This is also known as "count volume". It is integrated within an elliptical aperture surrounding the object, and is used to compute the magnitude.
S/N (Aperture Photometry)	The Signal To Noise ratio for the detected signal inside the aperture that measures the magnitude and net count.
Bg Local (Aperture Photometry)	The precision background measured from pixels inside the annulus between the inner and outer background apertures. This is more accurate for a precision luminance measurement than is obtained using the Background surface value at the position of the source. This value is effective at the center position of the object.

Additional Properties

The following quantities are listed in the text file using the [Save] button on the Procedure page. They are not listed in the Report window. Except for the two additional FWHM results, all the properties listed below are obviously dependent on the threshold value.

FWHM Peak (Precision FWHM)	The Peak value (above background) from the FWHM calculation. This is measured only if FWHM is selected in the post processing options. This is not threshold dependent.
FWHM Bg (Precision FWHM)	The background value from the FWHM calculation. This is measured only if FWHM is selected in the post processing options. This is not threshold dependent. Compare its value with the computed background value based on the Background strategy page.
Min X	The minimum Column position of the source.
Max X	The maximum Column position of the source.
Min Y	The minimum Row position of the source.
Max Y	The maximum Row position of the source.
X at Min Y	The Column position at the minimum Row position of the source.
X at Max Y	The Column position at the maximum Row position of the source.
Y at Min X	The Row position at the minimum Column position of the source.
Y at Max X	The Row position at the maximum Column position of the source.
X at Min Lum	The Column position at the minimum Luminance of the source.
X at Max Lum	The Column position at the minimum Luminance of the source.
Y at Min Lum	The Row position at the minimum Luminance of the source.
Y at Max Lum	The Row position at the minimum Luminance of the source.

Threshold Sensitivity

Note that some depend to varying degrees on the choice of the threshold value. The threshold is set on the Detect page of the Source Extraction Preferences dialog:

Some quantities, such as Area and CI, are completely dependent upon the threshold value, since the threshold defines which pixels are included in the source. These quantities will give completely different answers for different threshold levels.
Other quantities, such as Ellip and Angle, use the included pixels as an estimator of their true value hence they are sensitive to varying degrees on the chosen threshold.
As a hybrid of the two cases, the major axis and minor axis values are dependent on the threshold, but their ratio, as presented in the ellipticity (Ellip item) is an estimate of the true value for the object.
The Post Process Precision FWHM measurements are not sensitive to the threshold when measuring unresolved sources (in Mira Pro; Mira MX offers options for both resolved and unresolved sources).
The Post Process Aperture Photometry measurements are not not sensitive to the threshold.

Mira Product Brief

MExtract Module — Source Extraction Definitions

Properties Listed in the Report Window

Additional Properties

Threshold Sensitivity

Related Topics