Ten lectures on wavelets
Orthogonal Transforms for Digital Signal Processing
Orthogonal Transforms for Digital Signal Processing
Image Compression using an Efficient Edge Cartoon + Texture Model
DCC '02 Proceedings of the Data Compression Conference
The JPEG2000 still image coding system: an overview
IEEE Transactions on Consumer Electronics
A similarity metric for edge images
IEEE Transactions on Pattern Analysis and Machine Intelligence
Geometrical Multiscale Noise Resistant Method of Edge Detection
ICIAR '08 Proceedings of the 5th international conference on Image Analysis and Recognition
Iris Identification Using Geometrical Wavelets
ICCVG 2008 Proceedings of the International Conference on Computer Vision and Graphics: Revised Papers
Hierarchical segmentation-based image coding using hybrid quad-binary trees
IEEE Transactions on Image Processing
Iris features extraction using beamlets and wedgelets
Machine Graphics & Vision International Journal
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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.