I- said:
IS THERE ANY SOFTWARE THAT WILL NOT REDUCE THE QUALITY WHATSOEVER WHEN I
REDUCE THE SIZE??
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Others might have explained just why it is not possible, so the basic
answer is easy to understand herewith:
Decreasing the pixel dimensions requires that the original pixel
dimensions be sampled something less than every single pixel, perhaps
every other pixel, or every third pixel .. to result in products that
would be 1/2 or 1/3 the original width.
Decreasing the pixel dimensions to merely a little bit smaller,
requires sampling of the original (as an example) sample two pixels,
skip one, then sample the next three, skip one, sample two pixels,
skip one, sample three pixels, etc etc etc. This would produce a
result of 5/6 the original width.
See so far?
Now, to enlarge a picture requires that each pixel, or every other
pixel to be double-counted, etc etc etc, depending on how big you
want the result to be.
Thus, either way, you have discarded pixels in making it smaller, or
double-counted pixels in making it larger. Both illustrations result
in a fuzzier rendition compared to the original.
This is a simplistic explanation, admittedly, but it is essentially
correct. Depending upon the sophistication (read that, expensive)
of the software used, some products will be better than others in
determining the comparative albedos and/or hues of adjacent pixels and
might better attempt to compensate where the least damage would show.
Hope this helps. A lot of people really don't understand the workings.