Fractal image compression applies the self-similarity property of image. Many researches have been done to study the properties of fractal coding in image domain. In this paper, however, we try to explore the features of fractal coding in frequency domain. We rstly overview the properties of fractal coding in image domain, then we derive the corresponding formula of scaling factor and o set of ...

Fractal image coding has been used successfully to encode digital grey level images. Especially at very low bitrates fractal coders perform better than cosine-transform-based JPEG coders. A block-based fractal image coder is able to exploit the redundancy of grey level images by describing image blocks through contractively transformed blocks of the same image. Previous fractal coders used affi...

Image compression techniques based on wavelet and fractal coding have been recognized signiicantly useful in image texture classiication and discrimination. In fractal coding approach, each image is represented by a set of self-transformations through which an approximation of the original image can be reconstructed. These transformations of images can be utilized to distinguish images. The fra...

An efficient scheme for video coding is presented which utilizes progressive fractal coding, called waveletbased fractal approximation (WBFA), and motion compensation (MC). In the scheme, the MC error frames are encoded by the progressive fractal coding. Considering the severe localization of the MC errors, we use irregular sampling of domain blocks in a fine step instead of regular sampling of...

In this paper is presented a new approach in fractal image coding based on trigonometric approximation. The least square approximation method is used for approximation of blocks in standard fractal image compression algorithm. In the paper is shown that it is possible to use also trigonometric approximation for describing of blocks in fractal image coding. This approximation was implemented and...

In this paper, a hybrid method is proposed for multi-channel electroencephalograms (EEG) signal compression. This new method takes advantage of two different compression techniques: fractal and wavelet-based coding. First, an effective decorrelation is performed through the principal component analysis of different channels to efficiently compress the multi-channel EEG data. Then, the decorrela...

A hybrid 3D compression scheme which combines fractal coding with neighbourhood vector quantisation for video and volume data is reported. While fractal coding exploits the redundancy present in different scales, neighbourhood vector quantisation, as a generalisation of translational motion compensation, is a useful method for removing both intraand interframe coherences. The hybrid coder outpe...

Based on the classical fractal video compression method, an improved monocular fractal compression method is proposed which includes using more effective macroblock partition scheme instead of classical quadtree partition scheme; using improved fast motion estimation to increase the calculation speed; using homo-I-frame like in H.264, etc. The monocular codec uses the motion compensated predict...

In this paper, we present a novel fractal coding method with the block classification scheme based on a shared domain block pool. In our method, the domain block pool is called dictionary and is constructed from fractal Julia sets. The image is encoded by searching the best matching domain block with the same BTC (Block Truncation Coding) value in the dictionary. The experimental results show t...