TAILIEUCHUNG - The Essential Guide to Image Processing- P25

The Essential Guide to Image Processing- P25:We are in the middle of an exciting period of time in the field of image processing. Indeed, scarcely a week passes where we do not hear an announcement of some new technological breakthrough in the areas of digital computation and telecommunication. | Decision Environment for Iris Recognition 731 TABLE Cumulatives under giving single false match probabilities for various HD criteria. HD Criterion Odds of False Match 1 in 1013 1 in 1012 1 in 1011 1 in 13 billion 1 in billion 1 in 185 million 1 in 26 million 1 in 4 million 1 in 690 000 1 in 133 000 matches would seem to be performing at a very impressive level because it must confuse no more than 10 of all identical twin pairs since about 1 of all persons in the general population have an identical twin . But even with its P1 how good would it be for searching large databases Using we see that when the search database size has reached merely N 200 unrelated faces the probability of at least one false match among them is already 18 . When the search database is just N 2000 unrelated faces the probability of at least one false match has reached 86 . Clearly identification is vastly more demanding than one-to-one verification and even for moderate database sizes merely good verifiers are of no use as identifiers. Observing the approximation that Pn NP1 for small P1 N 1 when searching a database of size N an identifier needs to be roughly N times better than a verifier to achieve comparable odds against making false matches. The algorithms for iris recognition exploit the extremely rapid attenuation of the HD distribution tail created by binomial combinatorics to accommodate very large database searches without suffering false matches. The HD threshold is adaptive to maintain Pn 10 6 regardless of how large the search database size N is. As Table illustrates this means that if the search database contains 1 million different iris patterns it is only necessary for the HD match criterion to adjust downwards from to in order to maintain still a net false match probability of 10 6 for the entire database. DECISION ENVIRONMENT FOR IRIS RECOGNITION The overall decidability

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