A new approach to iris feature extraction using geometrical wavelets is presented. Iris code is generated by using representation of the wavelet coefficients based on a wedgelet dictionary. The accuracy of identification in the case of head inclination by a certain angle for different ranges of possibilities of shifting the iris code is shown. Experimental results on the CASIA iris database show that the proposed method is effective and exhibits encouraging performance.
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In the modern world, image coding, and especially image compression, plays a very important role. There are well known and recognized theories concerning this topic, such as, for example, Fourier and wavelets theories. Both of these theories allow for representation of images in a sparse way. Unfortunately wavelets, though very good in catching point discontinuities, cannot properly catch line discontinuities often present in images, that is, edges. As a remedy for this problem, the new theory of geometrical wavelets has arisen. In the paper we present a new and fashionable, hence well known, theory of geometrical wavelets called wedgelets, which allows us to code images with edges in a very efficient way. Moreover, we present the new improvement in the wedgelets theory. This improvement - the theory of extended wedgelets - allows us to represent images in a more sparse and efficient way than in the case of the known wedgelets. Such representation allows us to get a higher compression ratio, together with better visual effects. Furthermore, the application to image coding is also presented. The performance of the improvement has been confirmed both theoretically and experimentally.
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