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New method for feature extraction based on fractal behavior - IDRBT

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1080 Y.Y. Tang et al. / Pattern Recogniti<strong>on</strong> 35 (2002) 1071–1081<br />

Fig. 6. An example of handwritten signature vericati<strong>on</strong>.<br />

dimensi<strong>on</strong> tells us much about geometrical properties,<br />

such as the projecti<strong>on</strong> of sets, andwe have seen something<br />

of the problems associatedwith calculating the<br />

<strong>fractal</strong> dimensi<strong>on</strong>s. Clearly, dimensi<strong>on</strong>s are intimately<br />

relatedto the study of <strong>fractal</strong> geometry. However, the<br />

experiment results show that this approach allows us<br />

to obtain new andinteresting descripti<strong>on</strong>s of complex<br />

patterns. In some situati<strong>on</strong>s, it has even already yielded<br />

better results than “classical” <str<strong>on</strong>g>method</str<strong>on</strong>g>s. For all the cases,<br />

dierences in <strong>fractal</strong> dimensi<strong>on</strong> can be found the signicative<br />

values. We expect that the proposed<strong>fractal</strong><br />

<str<strong>on</strong>g>method</str<strong>on</strong>g>can also be used<str<strong>on</strong>g>for</str<strong>on</strong>g> improving the <str<strong>on</strong>g>extracti<strong>on</strong></str<strong>on</strong>g> and<br />

classicati<strong>on</strong> of <str<strong>on</strong>g>feature</str<strong>on</strong>g>s in a pattern recogniti<strong>on</strong> system.<br />

Acknowledgements<br />

This work was supportedby research grants received<br />

from the Research Grant Council (RGC) of H<strong>on</strong>g K<strong>on</strong>g<br />

anda Faculty Research Grant (FRG) from H<strong>on</strong>g K<strong>on</strong>g<br />

Baptist University.<br />

References<br />

[1] B.B. Mandelbrot, Fractals: Form, Chance and Dimensi<strong>on</strong>s,<br />

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automatic <strong>fractal</strong> <str<strong>on</strong>g>feature</str<strong>on</strong>g> <str<strong>on</strong>g>extracti<strong>on</strong></str<strong>on</strong>g> <str<strong>on</strong>g>for</str<strong>on</strong>g> image recogniti<strong>on</strong>,<br />

in: Huan Liu, Hiroshi Motoda (Eds.), Feature Extracti<strong>on</strong>,<br />

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