Fractal image coding has been used successfully to encode digital grey level images. Especially at very low bitrates fractal coding performs better than transform coding. Up to now fractal coding was mainly used for still images. In literature some proposals for fractal video coding schemes can be found, but in all cases two-dimensional contraction operators are used. In this paper we propose a...

Fractal coding has great potential, and wavelet coding is the most efficient way. In this paper, an embedded image compression based on fractal and wavelet is proposed. The lowest frequency subband of wavelet domain is coded by fractal first, and the coding error and other sub-bands are coded by Binary Tree Coding with Adaptive scanning order (BTCA). The lowest frequency sub-band has very high ...

This paper study the application of wavelet transform and fractal theory in image coding. The image coding based on wavelet transform has been studied firstly, Then, the paper make a research of fractal theory counterpart. After that, this paper research the hybrid compression coding based on wavelet transform and fractal theory, also make simulation experiment of three image coding ways mentio...

In this paper we present an entropy constrained fractal coding scheme. In order to get high compression rates, previous fractal coders used hierarchical coding schemes with variable range block sizes. Our scheme uses constant range block sizes, but the complexity of the fractal transformations is adapted to the image contents. The entropy of the fractal code can be signiicantly reduced by intro...

We present a new image coding scheme based on an unification of fractal and transform coding. We introduce a generalization of the luminance transformation used by fractal coding schemes. By extending the luminance transformation to the frequency domain, fractal and transform coding become subsets of the proposed transformation. Our new coding scheme FTC (fractal based transform coding) combine...

The inverse problem of fractal compression amounts to determining a contractive operator such that the corresponding fixed point approximates a given target function. The standard method based on the collage coding strategy is known to represent a suboptimal method. Why does one not search for optimal fractal codes? We will prove that optimal fractal coding, when considered as a discrete optimi...

The fractal image compression technique models a natural image using a contractive mapping called fractal mapping in the image space. In this paper, we demonstrate that the fractal image coding algorithm is compatible with other image coding methods. In other words, we can encode only part of the image using fractal technique and model the remaining part using other algorithms. According to suc...

We introduce a new way to use fractal coding for image compression, based on the parallel use of a fractal encoder and a DCT encoder. The two encoders are given the complementary roles to capture the information of edge and smooth variation, and the information of detail respectively. We show the advantage of using this hybrid coding scheme over the use of a fractal encoder alone, or a DCT enco...

We explore the performance of applying fractal coding on audio data. Some conventional fractal coding problems have been studied with audio data to provide an overview on this subject. A review of fractal coding is presented. We implement a fractal audio coding scheme to carry out the experiments. The performance of the scheme can be controlled by a number of different parameters, including map...