ianal, but would it not stand to reason that if the algorithmic method exists to incorporate/address computability specifically; then by implication the "human mind/pen&paper" criteria could only pass if performable under the same constraint?
For example, if the purpose of the method specifically relates to real time graphics processing (ie the real time constraint is a fundamental aspect of the method) -- then the expectation would be that the pen&paper test would have to be able to achieve the same constraint (ie calculable in real time) for it to invalidate the claim of the method?
I guess it depends on the granularity of the algorithm?
Imagine a transformation mapping one set of points onto another. If each individual transformation can be calculated with pen&paper, I'd hope the process is not patentable, even if running it a million times in a loop is what makes it useful.
For example, if the purpose of the method specifically relates to real time graphics processing (ie the real time constraint is a fundamental aspect of the method) -- then the expectation would be that the pen&paper test would have to be able to achieve the same constraint (ie calculable in real time) for it to invalidate the claim of the method?