Introduction
Speech Signals
Online Handwriting Signals
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Is any gender more skilled to produce forgeries in biometric recognition? This topic has been analyzed in the case of offline Arabic handwritten signatures in [18], and the authors concluded that women were found to have a marginal advantage in simulating all elements of the signatures, but there was no statistically significant difference between the genders on any of the elements examined.
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Is any gender more skilled to produce handwritten tasks that require a cognitive effort such as the complex figure copying test? To respond to this question, a large database of healthy people performing drawing tasks is required.
Experimental Analysis
Database
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Text in cursive letters (TXT)
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Numbers from zero to nine (NUM)
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Eight words written in capital letters (WORD)
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Genuine signature (SIGN)
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Fake signature trying to imitate other user’s signature (SIGN fake)
Handwriting Features
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How much time the pen has spent lifted from the tablet and also how much time the pen has spent on the surface (tup, tdown computed as the mean of all the realizations done by males and females separately, as well as the standard deviation)
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The mean of the pressure (\(\overline{p }\)) and its standard deviation
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The mean of the speed (\(\overline{s }\)) and acceleration (\(\overline{a }\)) and their standard deviation
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The entropy of the variables x, y, and p (Hx, Hy, Hp) and their standard deviation, where x and y are the spatial coordinates and p is the pressure exerted with the pen by a writer
Experimental Results
Features | |||||||||
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Task | Gender | tup (std) | tdown (std) | \(\overline{p }\)(std) | \(\overline{s }\)(std) | \(\overline{a }\)(std) | Hx (std) | Hy (std) | Hp (std) |
TXT | M | 11,562 (7969.6) | 13,566 (5640.1) | 264.56 (96.053) | 31.813 (10.273) | 21.74 (8.4944) | 7.8336 (0.081345) | 7.2621 (0.25282) | 4.9749 (0.56998) |
F | 11,397 (7664.9) | 14,950 (6591.1) | 263.14 (87.346) | 31.323 (10.157) | 20.345 (8.5865) | 7.8299 (0.054641) | 7.2584 (0.30118) | 5.1061 (0.50777) | |
NUM | M | 460.07 (296.12) | 450.03 (154.86) | 291.12 (95.872) | 28.44 (10.235) | 12.455 (4.9985) | 6.9897 (0.18032) | 7.0995 (0.22682) | 4.5022 (0.63741) |
F | 461.61 (309.18) | 496.21 (198.99) | 280.64 (93.455) | 26.227 (9.9349) | 11.534 (4.759) | 6.9892 (0.1989) | 7.0731 (0.22807) | 4.6901 (0.58119) | |
WORD | M | 7024 (4870.3) | 9137.5 (3710) | 284.95 (88.799) | 29.775 (9.889) | 22.134 (8.8938) | 7.4782 (0.26101) | 6.6641 (0.24498) | 5.2259 (0.48594) |
F | 7488.4 (5998.9) | 9814.8 (4428.5) | 258.47 (85.688) | 27.775 (8.7042) | 19.56 (7.7977) | 7.4678 (0.28511) | 6.6181 (0.30199) | 5.229 (0.43838) | |
SIG | M | 91.005 (100.61) | 317.11 (180.55) | 435.9 (150) | 82.742 (50.021) | 27.822 (17.161) | 6.6742 (0.55974) | 6.6108 (0.51076) | 5.8049 (0.65103) |
F | 135.82 (122.53) | 445.77 (267.13) | 408.4 (131.45) | 61.371 (32.454) | 21.523 (13.708) | 6.87 (0.50229) | 6.7115 (0.40605) | 5.9363 (0.4972) | |
SIG fake | M | 301.79 (325.93) | 596.46 (445.6) | 333.84 (155.46) | 53.802 (35.874) | 15.651 (12.69) | 6.7335 (0.47428) | 6.7811 (0.44202) | 5.3567 (0.98852) |
F | 388.77 (383.39) | 799.76 (698.23) | 350.6 (155.54) | 47.367 (29.33) | 13.476 (9.1376) | 6.8518 (0.44935) | 6.8146 (0.38388) | 5.481 (0.89711) |
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[0, 0.2]: no association
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(0.2, 0.4]: very week association
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(0.4, 0.6]: moderate association
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(0.6, 0.8]: strong positive association
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(0.8, 1]: very strong positive association
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Very similar behavior when comparing males and females
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No association between the pressure exerted by a user when performing her/his own signature or trying to imitate another’s signature
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Stronger correlations between features extracted from handwritten text (cursive, numbers and capital letters) than between signatures and handwritten text. This opens the possibility for improved biometric accuracies when combining text and signature
Features | |||||
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Tasks | tup | tdown | \(\overline{\mathrm{p} }\) | \(\overline{\mathrm{s} }\) | \(\overline{\mathrm{a} }\) |
TXT | 0.7270 | 0.0123 | 0.7066 | 0.6873 | 0.1117 |
NUM | 0.5688 | 0.0196 | 0.2263 | 0.0524 | 0.0588 |
WORD | 0.2933 | 0.1502 | 0.0012 | 0.0496 | 0.0042 |
SIGN | < 0.0001 | < 0.0001 | 0.087 | < 0.0001 | 0.0001 |
SIGNf | 0.0091 | 0.0002 | 0.2203 | 0.1392 | 0.2661 |
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Signatures of males and females are different in time in-air and on-surface, speed, and acceleration. This is not surprising as signatures are personal traits, and each person has its own signature shape. On the other hand, the exerted pressure is not significantly different.
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In the case of faked signatures, we observe that the dynamics measured by speed and acceleration are not significantly different. Probably because BIOSECUR-ID forgeries have not been performed by professional forgers and, in some sense, males and females are doing this task in a way which is closer to copying a drawing than performing a signature.
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The time up in the air is not significantly different in males versus females, while time on the surface reveals differences when performing numbers and cursive text but not in capital letters. In fact, according to Table 1, females required on average 10.2% and 10.6% (respectively, for cursive text and numbers) extra on-surface time. The extra time in words in capital letters is on average 7.4% higher. This is probably because words in capital letters are produced in a simpler way, with strokes which consist mainly of straight lines, and there is less room for differences.
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There is no difference in the exerted pressure by males and females in all the evaluated tasks except for words in capital letters. In this case, according to Table 1, males exerted 10.2% higher pressure than females. A similar conclusion is found in speed and acceleration.
Conclusions
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No significant differences have been found in handwritten tasks of healthy users related to gender except for time on-surface in cursive letters text and numbers.
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Significant differences exist in the signatures of males and females. Worth to mention that probably this will not be generalizable to signers of other languages. The database was acquired in Spain, and most of the signatures in Spain tend to be legible (they normally include the name and surname). According to [21], this is the case for around 50% of signatures contained in the MCYT database [22].
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High correlations exist on some features extracted from different handwritten tasks (text in cursive letters, capital letters, and numeric digits). The signature exhibits lower correlations with other tasks. This may be because handwriting has been deeply modified by education and the signature has been more freely decided by each user.