The principle of fractal image coding is that the image converges to a stable image by iterating the contractive transformations on an arbitrary initial image. This algorithm Partition the image into a number of range blocks and domain blocks. For every range block, the best matching domain block is searched for among all domain blocks by performing a set of transformations on each block. For c...

Fractal coding suffered from low coding efficiency, difficulties to obtain high quality encoding of images, and blocking artifacts at low bit rates and exhaustive inherent coding time. Blocking artifacts can be avoided if fractal coding is performed in the wavelet domain. A new fast and efficient image coder is developed that applies the speed of the wavelet transform to the image quality of th...

The latest research works have revealed that fractal geometry, a measure of irregular contours, inconvenient for describing the various pathological architectures like tumors (for yielding insights into the tumor growth), different MR (magnetic-response) image analysis, neuro imaging analysis, bone fracture measurement and many more. Researchers major attraction towards fractal geometry lie in ...

Fractal image compression is a technique based on the representation of an image by a contractive transform, on the space of images, for which the fixed point is close to the original image. This broad principle encompasses a very wide variety of coding schemes, many of which have been explored in the rapidly growing body of published research. While certain theoretical aspects of this represen...

A gray-level image texture descriptors based on fractal dimension estimation is proposed in this work. The proposed method estimates the fractal dimension using probability (Voss) method. The descriptors are computed applying a multiscale transform to the fractal dimension curves of the texture image. The proposed texture descriptor method is evaluated in a classification task of well known ben...

Image compression has many applications. For example, it is an important step for distributed and network based pattern recognition. For real time object recognition or reconstruction, image compression can greatly reduce the image size, and hence increase the processing speed and enhance performance. Fractal image compression is a relatively recent image compression method. Its basic idea is t...

Fractals are remarkable examples of self-similarity where a structure or dynamic pattern is repeated over multiple spatial or time scales. However, little is known about how fractal stimuli such as fractal surfaces interact with their local environment if it exhibits order. Here we show geometry-induced formation of fractal defect states in Koch nematic colloids, exhibiting fractal self-similar...

Fractal image coding has the advantage of higher compression ratio, but is a lossy compression scheme. The encoding procedure consists of dividing the image into range blocks and domain blocks and then it takes a range block and matches it with the domain block. The image is encoded by partitioning the domain block and using Affine transformation to achieve fractal compression. The image is rec...

Fractal image compression provides an innovative approach to lossy image encoding, with a potential for very high compression ratios. Because of prohibitive compression times, however, the procedure has proved feasible in only a limited range of commercial applications. In this paper we demonstrate that, due to the independent nature of fractal transform encoding of individual image segments, f...

2 Department of Applied Mathematics, Chhatrapati Shivaji Institute of Technology, Durg (C.G.), (India) ABSTRACT Image compression is a process of reducing or eliminating all redundant or irrelevant data. The new compression technique called Fractal image compression. This scheme works by partitioning an image into blocks and using contractive mapping to map each range blocks to its matched doma...