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FACIAL SOFT BIOMETRICS - Library of Ph.D. Theses | EURASIP

FACIAL SOFT BIOMETRICS - Library of Ph.D. Theses | EURASIP

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58 4. SEARCH PRUNING IN VIDEO SURVEILLANCE SYSTEMSSBS P err r U‘2e’ 0.0750 0.4743 0.4388‘m’ 0.1420 0.2538 0.2177‘g’ 0.0690 0.3275 0.3049‘4e’ 0.1522 0.7039 0.5968‘mg’ 0.2012 0.4982 0.3979‘2em’ 0.2063 0.6077 0.4823‘2eg’ 0.1388 0.6465 0.5568‘2emg’ 0.2611 0.7362 0.5440‘4emg’ 0.3227 0.8514 0.5766Table 4.2: Pruning error, gain and goodput <strong>of</strong> the proposed SBSsError − Gain − Goodput0.90.80.70.60.50.40.30.2Prob <strong>of</strong> ErrorAverage GainGoodput0.102e m g 4e mg 2em 2eg 2emg 4emgSB SystemFigure 4.11: Pruning error, gain and goodput <strong>of</strong> the proposed SBSs.the gain or the error contribution depending on the application scenario. If we are interested inpruning aggressively a big database, we would emphasize on the gain and choose a system like‘4emg’, at the cost though <strong>of</strong> an increased FRR. If we want to make a conservative search prunewith a low risk <strong>of</strong> pruning out the target subject, then system ‘2eg’ is more suitable to be oursystem <strong>of</strong> choice. The question arises here <strong>of</strong> how to bound the case when an enhancement <strong>of</strong> asystem is pr<strong>of</strong>itable in terms <strong>of</strong> goodput. With other words is an addition <strong>of</strong> a s<strong>of</strong>t biometric traita positive contribution to the SBS or does the related average error outweighs the related pruninggain? This is addressed in Equation (4.30) and can be answered depending on a given application,population statistics and error probability.4.7.2 Computational cost reductionWe briefly discuss the computational savings that result by preceding a computationally expensivealgorithm (e.g. full person recognition) with pruning based on generally simpler categorizationalgorithms. In terms <strong>of</strong> analysis, letT be the total number <strong>of</strong> s<strong>of</strong>t biometric traits (e.g. system‘4emg’ corresponds to T = 3 traits: t = 1 for eyes, t = 2 for moustache, t = 3 for glasses). Furthermorelet N t be the average computational complexity required to implement categorization,

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