femr,
You do a fine job of cutting & pasting other people's work.
And a very poor job of explaining it. In this case, less than "poor job". More like "incompetent job".
Which, by virtue of its consistency, leads me to think that you don't understand it at all.
Allow me to explain.
And provide you with a VERY brief, simple example of a real error analysis.
The 100 ±10 vertical MOIRE PATTERN pixels / horizontal pixel is a scaling factor. It doesn't tell you the horizontal resolution.
The 1.1 ft/pixel +0.1 ft/pixel is similarly a scaling factor. It doesn't tell you the horizontal resolution either.
The key factor that one needs to know, in order to correctly determine the horizontal resolution, is their VERTICAL resolution of the moire pattern marker band that they are watching in the video.
Then you can convert this vertical resolution into horizontal resolution.
___
Now for a simple error analysis...
One that involves only 3 numbers (vertical resolution, vertical to horizontal scaling factor, horizontal pixels to horizontal feet scaling factor) with their errors.
And watch how fast the errors add up in the final result ...
Suppose NIST were only able to resolve the vertical light or dark band of the moire pattern with a (very poor) resolution of ±(100 ±10 vertical pixels), then their horizontal resolution would be:
±(100 ±10 vertical moire pattern pixels) x (1 horizontal pixel / 100 ± 10 vertical moire pattern pixels) = ±1.06 ±(0.16) horizontal pixel. Which gives you ±(1.06 ±.16 horizontal pixels) x (1.1 ±0.1 ft/horizontal pixel) = ±1.18 ± .26 ft.
THIS is how you do an error analysis. You account for each error at each step of each calculation.
And what you find out is that errors add up far faster than you ever imagine.
___
IF they were able to resolve the vertical moire pattern within a (better) ±(10 ±1 vertical moire pattern pixels), then they would be able to resolve a horizontal resolution of:
±(10 ±1 vertical moire pattern pixels) x (1 horizontal pixel / 100 ± 10 vertical moire pattern pixels) = 0.10 ±(0.02) horizontal pixels. Which gives you a dimensional tolerance of ±(0.10 ±0.02) x (1.1 ±0.1 ft/horizontal pixel) = 0.11 ± .03 ft.
___
Without knowing the vertical resolution of the moire pattern, you have zero idea of their horizontal resolution.
You can NOT get it from just the horizontal to vertical scaling factor.
___
This is exactly the error that I thought you were making. Which is why I asked you about it.
Allow me to paraphrase someone else on this topic: "You really should not need this explained to you, femr."
Please, patronize me again about how "you shouldn't have to explain this to me…"
Maybe Major Tom will add this to his list of your errors...?
You do a fine job of cutting & pasting other people's work.
And a very poor job of explaining it. In this case, less than "poor job". More like "incompetent job".
Which, by virtue of its consistency, leads me to think that you don't understand it at all.
Allow me to explain.
And provide you with a VERY brief, simple example of a real error analysis.
The 100 ±10 vertical MOIRE PATTERN pixels / horizontal pixel is a scaling factor. It doesn't tell you the horizontal resolution.
The 1.1 ft/pixel +0.1 ft/pixel is similarly a scaling factor. It doesn't tell you the horizontal resolution either.
The key factor that one needs to know, in order to correctly determine the horizontal resolution, is their VERTICAL resolution of the moire pattern marker band that they are watching in the video.
Then you can convert this vertical resolution into horizontal resolution.
___
Now for a simple error analysis...
One that involves only 3 numbers (vertical resolution, vertical to horizontal scaling factor, horizontal pixels to horizontal feet scaling factor) with their errors.
And watch how fast the errors add up in the final result ...
Suppose NIST were only able to resolve the vertical light or dark band of the moire pattern with a (very poor) resolution of ±(100 ±10 vertical pixels), then their horizontal resolution would be:
±(100 ±10 vertical moire pattern pixels) x (1 horizontal pixel / 100 ± 10 vertical moire pattern pixels) = ±1.06 ±(0.16) horizontal pixel. Which gives you ±(1.06 ±.16 horizontal pixels) x (1.1 ±0.1 ft/horizontal pixel) = ±1.18 ± .26 ft.
THIS is how you do an error analysis. You account for each error at each step of each calculation.
And what you find out is that errors add up far faster than you ever imagine.
___
IF they were able to resolve the vertical moire pattern within a (better) ±(10 ±1 vertical moire pattern pixels), then they would be able to resolve a horizontal resolution of:
±(10 ±1 vertical moire pattern pixels) x (1 horizontal pixel / 100 ± 10 vertical moire pattern pixels) = 0.10 ±(0.02) horizontal pixels. Which gives you a dimensional tolerance of ±(0.10 ±0.02) x (1.1 ±0.1 ft/horizontal pixel) = 0.11 ± .03 ft.
___
Without knowing the vertical resolution of the moire pattern, you have zero idea of their horizontal resolution.
You can NOT get it from just the horizontal to vertical scaling factor.
___
This is exactly the error that I thought you were making. Which is why I asked you about it.
Allow me to paraphrase someone else on this topic: "You really should not need this explained to you, femr."
Please, patronize me again about how "you shouldn't have to explain this to me…"
Maybe Major Tom will add this to his list of your errors...?
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