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MOPEX User's Guide - IRSA

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<strong>MOPEX</strong> User’s <strong>Guide</strong><br />

Inclusion of the neighboring pixels allows for outlier detection, even in the case of coverage of<br />

two, where the simple temporal detection is completely powerless. Clearly, a single pixel radhit<br />

on a relatively constant background can be easily identified as outlier, even with the smallest box<br />

size of 3. However, even radhit in the shape of wide and long streaks can be successfully detected<br />

by this method owing to the Box Median Bias. Suppose, the box size is 3, so the stack consists of<br />

18 pixels, and the size of the radhit is at least 3x3 pixels. Out of the 18 pixels 9 background pixels<br />

have values relatively close to each other. The 9 radhit pixels will in general have greater scatter,<br />

then the 9 background pixels. Because of the bias, the median will be equal to the highest value of<br />

the background pixels. The difference between the highest and the lowest values of the<br />

background pixels are expected to be smaller, than the difference between the highest value of the<br />

background pixel and the lowest value of the radhit pixels. Consequently, the biased median<br />

deviation will be equal to the difference between the highest and lowest values of the background<br />

pixels.<br />

Figure 8.11: The 18 pixel values shown here are from two images and the box size of 3. The<br />

9 lower pixel values are the background and the 9 higher pixel values are from a radhit.<br />

The problem with temporal outlier rejection is that it sometimes rejects valid pixels in the center<br />

of bright sources. It is especially acute for the undersampled data. Interpolation of such data<br />

results in significant errors and some interpolated pixels have values higher than the uncertainties<br />

and the scatter in the stack. Including the neighboring pixels increases the estimate of the scatter<br />

and prevents identifying such pixels as outliers.<br />

Basic Concepts in <strong>MOPEX</strong> 192<br />

Out lier Det ect ion

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