Ben, You are right that to take an object and to match it to every other object in a database of millions, allowing for deliberate tweaking and arbitrary transformations, is probably NP-hard or similar.
One could argue that it could be sufficient to be able to automatically compare nominated object A with nominated object B, ie vendor V says copier C has made an unauthorized copy B of object A. However, what if vendor V is actually another copier??? So, one would need facilities for counter-claims etc, which gets really complicated.
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