Doesn't matter how many pixel the sensor has...
Demosaicing will introduce false information because it's a little bit guess work (Bayer sensor).
I think that's part of the issue. Bayer image processing is still using algorithms designed to maximise the apparent resolution, on the basis that the sensor hasn't enough. With the newer high resolution sensors it makes more sense to aim to minimise artefacts, on the basis that the sensor has too much of those.
The problem with a less aggressive demosaic algorithm is that it will tend to reduce detail (real and false) and increase blur at the same time it tends to reduces artifacts. The trade-off is illustrated by looking at the raw and jpeg versions of the D810 studio shot. There are confounding processing differences, of course, but nonetheless such a comparison is a convenient way to get a sense of the trade-off inherent in a more aggressive demosaicing algorithm (ACR's) vs. a less aggressive one (Nikon's).
Absolutely spot-on. The point is, if you don't want the whole resolution, then why not have the less aggressive demosaicking and avoid at least some of the more objectionable artefacts (you'll never get rid of them all, which is why no-AA-filter is such a bad idea.
I like RawTherapee for those times I'm dealing with images with challenging aritifacting problems. The multiple demosaicing options gives you flexibility with how you attack the problem. I don't think there's any one ideal algorithm and the best solution will vary from image to image, although in most portions of most images you won't see any difference at all.
By the way, the objectionable artifacts issue with AA-less sensors is why I don't think it's best to try to use the D810 as the benchmark for analyzing the resolution "equivalence" of the Oly HiRes image. I think it's less confounding to use the D800 for that purpose.
I think the idea of 'resolution equivalence' is a bit of a non starter. With any camera, the real question is what can you do with it, and trying to prove that it's better (or worse) than some other camera against an arbitrary metric is a fool's game. Unfortunately, it seems to be a fools game that some round here are inordinately fond of.
Almost like ideas of "total light gathered"
Almost, but not quite. 'Total light gathered' has a real photographic consequence. To find out more, read Richard Butler's latest excellent article
Convenient how total light gathered is not an "arbitrary metric" even though its main impact is on noise... while resolution, which can be exchanged for noise removal, or image artifacts vs detail etc... this is arbitrary... Sounds a bit like cherry picking to me and calling people fools for not seeing things your way.
I think the non-arbitrary criteria we are already using are those implicitly proposed by your OP: As much real detail as possible and as little false detail as possible. You have already provided some very good visual evidence so let me just provide some numbers as a supplement.
The criteria in question can be translated into numbers by means of MTF curves and their associated Nyquist frequencies. In the preceding thread on the subject, I posted the following such curves for the E-M5 II in hi-res mode and the D810, respectively.
Since the pixels of the E-M5 II in high-res mode have full-color information (in spite of the data being compressed into a Bayer-type format after processing the eight input shots), it is reasonable to think of a single Nyquist frequency at half a cycle (line pair) per pixel. At this point, the MTF-value (i.e., the contrast level) is practically zero which means that there will be no false detail in the form of aliasing or moiré.
Since the image data provided by the D810 are of the ordinary Bayer type, with only partial color information for each pixel, we can in this case no longer reckon with a single Nyquist frequency. Rather, as explained
here, we have a range of Nyquist frequencies depending on specifically what kind of resolution we consider. For vertical and horizontal resolution in the green channel, we still have Nyquist at 0.5 cyles per pixels. For diagonal resolution in all three color channels, we have Nyquist at 0.707*0.5 = 0.3535 cycles per pixel. And for vertical and horizontal resolution in the red and blue channels, we have Nyquist at 0.5*0.5 = 0.25 cycles per pixels. As you can see from the graph below, the contrast ranges from 15 percent at the highest Nyquist frequency to no less than 40 percent at the lowest Nyquist frequency. It follows that the D810 will produce plenty of false detail whenever the subject contains detail beyond these Nyquist frequencies.
The advantage of the D810 is that it produces higher MTF values (i.e., higher microcontrast) than the E-M5 II high-res mode even for such spatial frequencies where both are capable of showing real detail. While the absolute values on the x- as well as y-axis are not directly comparable between the two graphs above (e.g., because the pixel counts are different, 64 versus 36 MP, and for reasons indicated in the technical note below), there is nevertheless no question that the D810 does better in this regard. On the other hand, as I think has been pretty convincingly demonstrated by now, that shortcoming of the E-M5 II hi-res mode can largely be compensated by sharpening. This in turn means that the main difference is in the domain where the D810 goes beyond Nyquist and therefore shows false detail whereas the E-M5 II shows real detail or, if we go sufficiently far to the right on the x-axis, no detail at all.
Technical note: The MTF curves presented above were obtained by means of
MTF_Mapper using
this and
this RAW file from Imaging Resource. Measurements were taken from the two parallelograms closest to the center of the test chart. The curves show the average of the horizontal/sagittal and vertical/meridional MTF-values for the green channel (in order to eliminate the effect of any lateral CA) and are offered here only for the purpose of providing an approximate idea of what the curves are like relative to the associated Nyquist frequencies. The curves are not really appropriate for an evaluation of the max MTF performance of which the two systems are capable, e.g., because the E-M5 II was shot at f/8, which is clearly beyond peak for any decent FT/MFT prime (in this case the FT 50/2 Macro).