I do not think these are competing methods.
Hi Arthur,
Perhaps not competing, but
totally different in approach to image quality.
The Schewe-Fraser method is asking what do you need from the image.
Yes, but IMHO, that's what Creative and Output sharpening is for. Creative sharpening is also much better done with more appropriate tools (spatial frequency targeted and local contrast adjusted), later in the chain of processing activities.
The Bart method is showing how to get optimal sharpening if it is needed, without making a judgement about the if.
That's right. Just like Raw conversion, Capture sharpening is all about getting an optimal (artifact free, and free of issues that will negatively impact good postprocessing capability) RGB baseline from our Raw capture. That Capture is by definition blurred due to the Capture process itself. The deconvolution sharpening will restore actual scene sharpness, which also improves color accuracy at the pixel level. Using the wrong radius will not do that!
The lens specific optimal radius can vary quite a bit with aperture used, as illustrated by this analysis of the actual amount of blur in optimally (focus rail) focused images:
The required radius is very much hardware (Sensel pitch, Lens+Aperture , plus Raw-conversion) driven as can be seen (EXIF data is available to improve the Raw converter defaults).
That's also why the sharpening dialog needs to be improved, and give better feedback about the optimal radius, or as a minimum use more sensible defaults. Human vision is just not good enough to do that objectively by eye for many types of subject matter.
It's just like noise reduction or CA correction, it too should be addressed early in the chain of events, preferably in linear gamma space before demosaicing and gamma adjustments break the independent random structure that the noise reduction is based on.
Cheers,
Bart