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Mike LofflandAdministrator
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SNR: Image Sampling
      #3372685 - 10/05/09 01:51 PM

Signal to Noise: Understanding it, Measuring it, and Improving it - Part 4 - Image Sampling

By: Craig Stark


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Barry E.
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Re: SNR: Image Sampling new [Re: Mike Loffland]
      #3374598 - 10/06/09 01:36 PM

This article answers many questions for me. I often view the Image Aquisition Best Practices Presentation by Richard Bennion where he uses FWHM as the main focus for quantifying your image quality. The thing that always bothered me is his goal: 2.0 arcsec (FWHM) stars. With my setup (5um pixels, 480mm and 1000mm FL), I can't possibly get 2.0 arcsec stars. With the 480mm, for example, each pixel is 2.4 arcsec!

Is there a way to actually measure the seeing conditions? Are the fine focus numbers in Nebulosity a good estimate of how the seeing is for that night?

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Craig
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Re: SNR: Image Sampling new [Re: Barry E.]
      #3375403 - 10/06/09 08:30 PM

Nebulosity will report the HFR and that should be, at best focus, a decent proxy for your seeing on a given night vs other nights. You'd want to make sure the exposure is long enough to let the seeing blur things, but it should work. FWIW, the HFR is what is used in it's image quality grading algorithm too.

Craig

--------------------
Stark Labs Astrophotography software

Borg 101 ED f/4, C8, and too many cameras to mention


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Samir Kharusi
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Re: SNR: Image Sampling new [Re: Mike Loffland]
      #3415334 - 10/28/09 01:30 AM

Craig, an excellent article. You have put a lot of thought and effort into those simulated views. On behalf of many, a great big THANKS!

In my own deliberations I came to conclusions very similar to what you stated. Recently I was trying to put a C14 Hyperstar through its paces using a Canon 500D (4.7micron pixel pitch) and try to nail down whether going finer than 1.4 arc-sec per pixel is worthwhile. Basically the C14 Hyperstar delivers 1.4 arc-sec per pixel, and this "should", under average seeing conditions, be fine-scale enough even for small targets. I can increase the sampling to 1 arc-sec/pixel using the simple expediency of sticking in a 1.4x tele-extender. Yes, incredibly, it does work. Using a 2x extender leads to what looks like significant spherical aberrations, so that is out. The question I have, did you come across anything that says that seeing for long exposures (say 2 to 5 minutes) is measurably worse than exposures lasting a few seconds (say, 15 secs)? This is Hyperstar territory and yes, one can get to skyfog-statistics-limited regime with very short exposures. In my experience, when one gets down to a couple of seconds the seeing is indeed better than at a couple of minutes. We also know that when one goes to under 0.1 secs the diffraction limits of the scope become more relevant than seeing at 3 arc-sec (planetary webcamming). So, just wondering about that middle range, between 10+ seconds and 5+minutes per sub. Any write-ups out there?

By the way, I smiled at your comments on attempting to autoguide at finer than an arc-sec per pixel. I was quite happy shooting unguided at 2 arc-sec per pixel on a Canon 20D (on an AP1200 mount). At 0.7 arc-sec per pixel I can see elongated stars In a way this was unexpected, why elongations in one direction since the seeing is scattered in 360 degrees. Prevailing wind? I may have to go back to my ancient practices of using an autoguider, or stay with unguided 30sec subs at 1.4arc-sec per pixel.

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Thomas44
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Re: SNR: Image Sampling new [Re: Samir Kharusi]
      #3417459 - 10/29/09 12:39 AM

I must say your article is detailed and very informative. That clears up some questions I had in mind.

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Baker73
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Re: SNR: Image Sampling new [Re: Thomas44]
      #3424100 - 11/01/09 04:49 PM

Craig, Terrific Articles! Thanks! I have been working through the camera measurements on a SS-II Mono, all went well until I got to the flats, I cannot get the histogram to move down from the right third of the graph. I have tried exposures from .1 to.001 and from 1 sheet of paper to 35 sheets, with and without a telescope. the histogram is a wide cone approximately 1/2 as wide as it is tall, I must be missing something here.

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Craig
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Re: SNR: Image Sampling new [Re: Samir Kharusi]
      #3424869 - 11/02/09 01:20 AM

Hey all,

I'm just coming back from AIC and the last talk was by Volker Wendel, one of the kings of high-res DSO imaging. His suggestion was that if you want the highest possible resolution, a) go to where you have the best seeing, and b) set your sampling rate to about 1/3rd the best seeing you have.

Thus, if you're going for the brass ring, he'll advocate sampling at a third the seeing. He'll make his choice based on the best night you'll get (to take advantage of that night). I'm more pedestrian and don't aim for the best possible as it were, suggesting you base it off of a very good night. With the amount I get out, if I waited for that 1 in a 100 night, it'd take me several decades to capitalize on it...

So, if you're really good nights are at 3", that'd be 1" of sampling. If the really good are 2", that'd be 0.67". Now, when I've looked, I don't even see a heck of a lot of difference between 2 bins per FWHM and 3 if I see any at all, which would put me back at 1" or so for even my best nights. In any case, even he only runs at 0.5" / pixel (based on a best night seeing of 1.6" FWHM) and he's trying to give as much headroom so that he'll not loose an iota of sharpness.

If we take Samir's 4.7u pixels there, that would mean even he wouldn't go beyond about 1900 mm. For those of us without such ultra-resolution aspirations, who will still shoot our L under more turbulent skies, etc. I stand by my suggestion of ~1.5 or so as a fine target value for the sampling. Feel free to push it either way by a bit, but if you slap those 4.7u pixels on a 3m rig, you're trading something for nothing.

Craig

--------------------
Stark Labs Astrophotography software

Borg 101 ED f/4, C8, and too many cameras to mention


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Craig
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Re: SNR: Image Sampling new [Re: Samir Kharusi]
      #3424873 - 11/02/09 01:24 AM

Quote:

The question I have, did you come across anything that says that seeing for long exposures (say 2 to 5 minutes) is measurably worse than exposures lasting a few seconds (say, 15 secs)? This is Hyperstar territory and yes, one can get to skyfog-statistics-limited regime with very short exposures. In my experience, when one gets down to a couple of seconds the seeing is indeed better than at a couple of minutes. We also know that when one goes to under 0.1 secs the diffraction limits of the scope become more relevant than seeing at 3 arc-sec (planetary webcamming). So, just wondering about that middle range, between 10+ seconds and 5+minutes per sub. Any write-ups out there?





Well, yes -- there are both high frequency and low frequency components to the seeing with the LF ones acting more as a global shift (or perhaps a distortion over a larger area). These operate on timescales of several to many seconds. They'll also hit some of the stars in your FOV and not others. Chris Peterson at Cloudbait gave a nice talk at MWAIC this year on that (and advocates for a multi-star guide approach as a result). Toss in the added bit that in 5 minutes you've got a greater chance of your guiding having a temporary issue (wind, bad spot on worm, who knows...) and you're FWHM is going to be worse in 5m than in 10s with some frequency.

Craig

--------------------
Stark Labs Astrophotography software

Borg 101 ED f/4, C8, and too many cameras to mention


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Craig
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Re: SNR: Image Sampling new [Re: Baker73]
      #3424876 - 11/02/09 01:27 AM

Quote:

Craig, Terrific Articles! Thanks! I have been working through the camera measurements on a SS-II Mono, all went well until I got to the flats, I cannot get the histogram to move down from the right third of the graph. I have tried exposures from .1 to.001 and from 1 sheet of paper to 35 sheets, with and without a telescope. the histogram is a wide cone approximately 1/2 as wide as it is tall, I must be missing something here.




If it's not moving and it's up on the right side, my guess is you're actually saturating. Make sure your TEC is going and then try putting a piece of tin foil over the camera nose there to make a real dark frame. If it's still up there you probably have a real light leak.

Craig

--------------------
Stark Labs Astrophotography software

Borg 101 ED f/4, C8, and too many cameras to mention


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freestar8n
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Re: SNR: Image Sampling new [Re: Craig]
      #3425072 - 11/02/09 07:59 AM

Sounds like Volker pretty much agrees with what I had been saying about this in a separate thread. This is a classic situation of setting a limit on something that improves asymptotically, and saying - beyond this there will be no improvement. In fact, as long as you have enough signal, there will be only continued improvement to the fwhm, albeit with diminishing returns, as you increase focal length. This is why, for bright objects like the Eskimo nebula, people tend to use a Barlow. Volker used a 12" f/20 for the luminance on his shot.

If you want a rough heuristic, I would recommend sampling at 1/3 fwhm - and it doesn't matter what your seeing is because what matters is the size of the stars in your image, due to focus, guiding, etc. If you are aiming for optimal detail in faint nebular wisps, you would be better off with lower sampling, but if your snr is high enough you should sample finer.

There are many real world issues that do not show up in simulation and theoretical argument based on perfect ccd's with only read noise:

1) Pixel crosstalk and halation effect (inter pixel bleeding). This happens on the scale of pixels, so increasing focal length reduces the angular size of the effect

2) High res images tend to guide with OAG or AO, and the increased imaging focal length also yields better guiding if the guidestar is bright enough

3) The appearance of stars has a big impact on a deep sky image, and over-sampled stars allows more aggressive sharpening without introducing ugly star artifacts

I am interested in ways to improve guiding with mid-range mounts, and I find that video guiding at long focal length with OAG and rapid low latency corrections yields consistently better results, and does not pose too much added burden. I really doubt that multi-star guiding would improve on this at all, particularly since it would require longer exposures to see many stars, adding to the latency. I think that mere mortals like me with mid-range equipment have the brass ring closer at hand than they realize if they use the right software and technique. That's why I wrote MetaGuide, and I tend to image at 0.5 to 0.8" per pixel from typical skies in the northeast U.S.

Frank


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Craig
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Re: SNR: Image Sampling new [Re: freestar8n]
      #3442623 - 11/11/09 06:18 PM

Quote:


I am interested in ways to improve guiding with mid-range mounts, and I find that video guiding at long focal length with OAG and rapid low latency corrections yields consistently better results, and does not pose too much added burden. I really doubt that multi-star guiding would improve on this at all, particularly since it would require longer exposures to see many stars, adding to the latency. I think that mere mortals like me with mid-range equipment have the brass ring closer at hand than they realize if they use the right software and technique. That's why I wrote MetaGuide, and I tend to image at 0.5 to 0.8" per pixel from typical skies in the northeast U.S.





Frank,

Chris Peterson's data are pretty compelling, showing substantial shifts between stars with timescales on the order of 10 seconds. At least under his skies, it's a large error component. In his talk at MWAIC (I used his slide a few weeks ago at AIC), he showed shifts of 2 arcsec in the star separation over a 10 second period. No matter how well any of us guide on one star, if we follow that, we're inducing error in other stars. I've not seen things this large under my skies (air coming off the ocean), but his mountain skies at least do have this.

You and I take a different approach to guiding and I think that both are valid. FWIW, in my talk there on guiding, one of my slides said, "MetaGuide: Best support for short-exposure webcams", so please don't think I don't hold your software in high regard (even if you don't feel similarly, as I'm afraid I must take your website to suggest). Running rapidly has a number of up-sides. But, I do think that running at high sample rates has several downsides and one of them will be that it will be tougher to get the >1 star notion going in a meaningful way. In ~2 s exposures, I routinely have a handful of stars to choose from and running on >1 will work out the *average error* in the image resulting from the mount's errors (and not from the seeing's errors). It won't be optimal for any one specific zone. So, in the case of the Eskimo or something there, if you could find a guide star right near it and guide rapidly on that, you'd get that section - where you want the detail - better in all likelihood. That would be great. But, if you're imaging a more extended object, guiding on the average error may be a better strategy. That's going to be easier to pull off if you've got a few seconds there of integration.

As for oversampling -- concerns like the effect that aggressive deconvolution has on small PSFs do have other solutions. One can up-sample the image after data collection, for example, to give a larger PSF to operate on. If the spatial frequencies in the image are limited more by the seeing / tracking / focus than by the sampling, you've not lost anything in the process.

In the article, I'm not suggesting that everybody and his brother runs at 1.5" / pixel or so. If you want the highest resolution possible, you'll get pushed down a path much like Volker has and base things on the absolute best nights, etc. Resolution isn't the only game in town, though, as to cover more sky you've got to get bigger chips and bigger corrected fields or montage things a lot. Many imagers get out on a limited basis and want to make the most of the time that they have, imaging under whatever reasonable sky conditions they have. With any asymptote, there is a point that might be called the point of diminishing returns and there is another that might be called the point at which you've gotten the bulk of the return. If you want to make sure you're well into that asymptote (the first point), you'll be a good bit further down the axis than if you want to make sure you've gotten the bulk of what you can get. Will 10 min subs get you a bit better SNR than 3-4 min subs? Yup -- a bit. Will those 3-4 min subs get you a lot more than 30s subs? Yup -- a lot more.

Similarly, will imaging at 0.75" / pixel get you more resolution than 1.0? On very good nights, a little bit. Will 0.5 or 0.3 or 0.2" get you more? It'd take a really excellent night and a perfect setup to have any chance of getting a return on this boost in resolution. From my experience, getting into the 1-1.5" range has gotten you the bulk of the resolution you're going to get on good nights. If you want to go down the ultra-res path, go to higher sample rates, but if that's not the major goal for you, you've captured most of what you can get. If you're going down that ultra-res path, your job just got a lot tougher though. You've got to get your focus, tracking, and seeing such that you can pull that off (Volker won't shoot L on anything but the best nights, for example).

The problem is - and this is a real reason why I wrote the article - you have people thinking that slapping a DSLR on an 10" SCT at prime focus is "nothing major, just a basic setup". We're talking 5.2u pixels on a 2.5m rig for 0.43" / pixel. This is not a simple, basic setup. This is pushing for every last iota of resolution you might possibly get on the best of nights with the best of possible tracking, focus, etc. Even things like the popular 8" f/8 RCs out there are at 0.67"/pixel with these cams. These are, IMHO, long setups that are trying to get resolution they probably don't have, leading to the frustration of unsharp images, non-round stars, constrained FOVs, etc. The article is really just trying to point out that trade-off.

Craig

--------------------
Stark Labs Astrophotography software

Borg 101 ED f/4, C8, and too many cameras to mention


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freestar8n
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Re: SNR: Image Sampling new [Re: Craig]
      #3446836 - 11/13/09 09:22 PM

Hi Craig-

Thanks for the reply.

Your first paragraph is somewhat telling. One thing's for sure - you must not be a lurker on the yahoo autoguiding group... Beyond that I just won't comment on the first paragraph.

Quote:

MetaGuide: Best support for short-exposure webcams




Well - the heavy qualifier makes this more of a dismissive classification than a form of praise. I am specifically targeting the advantages of video guiding, novel centroiding, and low latency - not for the sake of video - but in order to achieve optimal guiding without AO.

As for your discussion of the merits of longer exposures, etc., please remember that I am very results driven - and I am puzzled that in autoguiding - advice is given based on arguments and theory rather than results. If there is a place where you post high resolution work with mid-range equipment, demonstrating your experience in this realm - please point it out. I have looked for such a site - like I have with MG - but I haven't found it. Without actual experience guiding in the low fwhm range, you are just speculating based on theory. If you have confidence in your approach but your results are limited by seeing, as many claim of their own methods, you are still speculating and don't have direct evidence based on end results. If you prefer not to make the effort for small fwhm - that is perfectly fine - but it does make you less of an informed voice on how to achieve good results in that realm.

You make a separate argument based on limited isoplanatic angle that often comes up with AO work - but it is irrelevant here because it misses yet another point. I am not chasing the seeing - I am not chasing periodic error - I am chasing the gearbox and bearings. I try to remove the effect of seeing so that I have a good centroid that lets me chase the mount. For mid-range mounts, a key source of noise is the 1-10s wiggles from the gearbox and bearings - and guiding on an accurate centroid from a single star will remove wiggles from a wide field of stars and tighten them up. Subtleties like this are part of my different 'take' on autoguiding - and why I am so insistent on actual results to back claims and interpretations. And they amplify the need for low latency, short exposure guide images with an accurate centroid.

With a high end mount, you can be very casual and get tight stars. With a mid-range mount, you can use AO at fairly low rates of 1Hz or so and get very good improvement across a wide field. This is part of what made me focus on this high speed low latency realm - but without AO. And I think my results - which I regularly post - show that I am onto something.

As for sampling - you have suggested that "mere mortals" cannot achieve small fwhm easily - but again my goal is exactly that - for motivated amateurs with humble equipment and free software to achieve results comparable to much higher end equipment and costly software. I think they should feel empowered to compete with higher end equipment if they so choose, and I would not underestimate their abilities or potential.

A key thing to clarify is whether to sample based on seeing or to sample based on REALIZED FWHM. If your guiding is good, then you can use seeing as a reference because it limits your fwhm - but if your guiding is bad - you cannot. Many nice looking images have fwhm's in the 4-6" range, independent of seeing, and it would make no sense to sample finely with such large stars. But I and others aren't really interested in imaging if the results are above 3" because the images are so much more detailed at smaller fwhm - which is why people spend so much to achieve such results.

I don't encourage beginners to start with a long focus SCT and a dslr - I would encourage them to start with a short refractor guided by a guidescope. Later, when if they want to move to an sct, I would encourage them to use OAG rather than a guidescope because they would likely get better guiding - which is why high end work tends to be done that way. The problem is - many beginner imagers already start with an SCT - so it is a choice between buying a guidescope and encountering flexure - or starting out with OAG and its steeper learning curve, but more consistent results.

No matter what - they need to focus well - which is not trivial.

If they are getting non-round stars at long focal length - that isn't an issue of over-sampling - that is an issue of poor guiding or flexure. Under sampling would only serve to mask the problem - not solve it. With OAG and good focus, long focal length is much easier to handle than with a guidescope. I'm not sure if you have done much OAG guiding, but if you haven't, your pessimism of easy results may be more linked to guidescopes than long focal length.

I have high praise for PHD - although I have never seen it in use. I gather it is focused on an enjoyable experience for the user, particularly a beginner, and people not only achieve results quickly, but enjoy the process. In contrast, I would call the MG interface somewhat user belligerent, though I tried to improve it in the last release. I also like that PhD is available on both windows and mac.

When I first came out with MG I was looking forward to scientific and engineering discussions on autoguiding that would eschew anecdote and myth and focus on results. In such an environment, anyone could have a crazy idea that departed from the herd, and the only way to separate myth from progress is by the results they get.

This vision was pie in the sky and instead I see the same anecdotes repeated and no sense of validating assumptions. I don't think it's too late, and I'm happy to discuss things more, probably offline, if you would like. Ultimately I'm interested in people getting good images using good technique - no matter what software they use - and I think much of what I have learned would have application to guiding with PhD.

Frank


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David Pavlich
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Re: SNR: Image Sampling new [Re: Mike Loffland]
      #3447821 - 11/14/09 01:25 PM

Terrific article, Craig!!

David

--------------------
Proud Member; PAS NOLA,

"If we knew what we were doing, it wouldn't be called research..."
A. Einstein



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