The specific power equation is "gamma correction". Gamma is a measure of contrast. Look it up, and almost any dictionary will say it is "a measure of the contrast reproduced in a photographic or television image"
Look it up? Okay:
Glossary: Gamma: Digital Photography Review <--not an absolute measure, only a relative parameter in a power law equation
Gamma correction - Wikipedia, the free encyclopedia <--not an absolute measure, only a relative parameter in a power law equation
Gamma FAQ - Frequently Asked Questions about Gamma <--not an absolute measure, only a relative parameter in a power law equation
Gamma is undefined for anything other than a curve that fits a power function, which my random wobbly hand-made polynomial curve is most definitely not an example of.
"The key concept with curves is that you can never add contrast in one tonal region without also decreasing it in another. In other words, the curves tool only redistributes contrast."
Okay, that's nice, so what? I didn't claim to do anything other than redistribute contrast.
I fully admit: I robbed contrast from the areas of the image that didn't have very many edges in them, and give that contrast to the areas that DID have edges in them.
Otherwise known as sharpening. Your beloved unsharp mask also conserves contrast, and does the same exact thing, just a bunch of times with weighted outputs. Robbing contrast from non-edged and giving it to edges is what sharpening IS. The blurring part of USM is just telling it where to do sharpening. The actual sharpening works the same way in principle.
Apparently I need an even more dramatic example.
Just wanna be crystal clear now... your claim is that the middle line is in fact
blurry, and the line on the right is
sharp?
Or are they both about equally sharp?
If so, I am interested in what your name is for the process that brings something from blurry to sharp, yet is not "sharpening."
I'm sorry, that is so silly as to be laughable.
Yes, you're right I'm sorry. Doing math and performing algorithms without an electronic computer is crazy and unrealistic, and there is absolutely no precedent for it at any time during human history. I am ashamed to have brought it up.
Also, I want to come clean on something else... This thing is a totally a hoax, man. Some historians and I made it up in the mid 90s just to screw with people. I sincerely apologize:
(wikimedia commons)