By far Apple ain't biggest in IT, they are way smaller compared to some other companies. Say, HP, Dell, Microsoft, Nokia.
Apple is the largest company, by market capitalization, from the ones you mentioned.
This is where the computer works. Since the original pinhole pattern is known (you created it) you can feed that pattern into the computer and it can use that pattern to "slide" all the overlapping images so they exactly fit on each other. This makes a single, bright, sharp image.
The computer not only deconvolutes the pinhole pattern(which only provides an image with the same resolution as the pinhole) but it uses the entire diffraction in the detector and phases it to obtain an image, much like a lens would do. This achieves a resolution that is simply limited by the numerical aperture of the detector (which can be much smaller than the pinhole size).
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