Find FWHM: Pixel Values, Gaussian Curve, Standard Deviation

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To find the Full Width at Half Maximum (FWHM) from pixel values, the standard approach involves calculating the standard deviation of the Gaussian curve, with FWHM derived as FWHM = standard deviation * 2.355. However, obtaining a Gaussian fit may yield different results, prompting questions about the fitting algorithm's accuracy. When analyzing multiple sources in the same frame, consistency in FWHM values is expected, but the focus should also be on the rate of change near optimal focus rather than the absolute FWHM value. Discrepancies between methods can indicate issues with the fitting process. Understanding these nuances is crucial for accurate measurements in imaging data analysis.
bugra
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Hi,
I've been searching on google for minutes but couldn't find out a consistent way so far. I mean, it seems everybody has something to say about it :)

My data consists of pixel values (ADU's). I am writing a script to obtain fwhm of seeing disk.

By definition of the gaussian curve, i should only calculate the standart deviation of these values theni get fwhm=stdev*2.355 .
Am I correct?

Or should i obtain a gaussian fit then i calculate fwhm as its name suggests?

Thanks in advance,
bugra
 
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If you do it both ways, and the answers are different, what does that tell you about the fitting algorithm that you used?
 
for multiple sources on the same frame, should fwhm be same?
 
I would think the actual value of FWHM is less important than the rate of change near perfect focus.
 
UC Berkely, December 16, 2025 https://news.berkeley.edu/2025/12/16/whats-powering-these-mysterious-bright-blue-cosmic-flashes-astronomers-find-a-clue/ AT 2024wpp, a luminous fast blue optical transient, or LFBOT, is the bright blue spot at the upper right edge of its host galaxy, which is 1.1 billion light-years from Earth in (or near) a galaxy far, far away. Such objects are very bright (obiously) and very energetic. The article indicates that AT 2024wpp had a peak luminosity of 2-4 x...

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