I'm working with cancelable templates in biometric cryptography and I need to know what a locally smooth function and globally non smooth function are.
A good overview of smooth functions and cryptography is given in
I.E. Shparlinski, Anatomy of integers and cryptography (starting on page 5):
http://www.di.ens.fr/pub/Main/CryptoSeminaire/AnatInt_Shparlinski.pdf
Another good paper to consider is
Y. Lamzouri, Smooth values of the iterates of the Euler's Phi-function:
http://www.math.yorku.ca/~lamzouri/smooth.pdf
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