Fractal phenomena are a source of geometric detail that can be difficult to harness for general purpose shape modeling. We present a method for modeling surfaces by warping a fractal onto a given mesh. The warp is specified by the user as a coarse displacement field and interpolated by triharmonic radial basis functions. Efficient methods for rendering the warped fractal by ray tracing and isos...

Human retina consists of repeating pattern of arteries and veins. This repeating pattern is known as Fractals. Fractal Dimension is the quantity which is to be determined for analyzing disorder in retina using fractal analysis. There are two disorders of retina which leads to complete vision loss. They are Occlusion and Diabetic Retinopathy. Occlusion is due to arteries crossing over vein leadi...

This paper proposes a moment based encoding algorithm for iterated function system (IFS) coding of nonhomogeneous fractal images with unequal probabilities. Moment based encoding algorithms for IFS coding of non-homogeneous fractal images require a solution of simultaneous algebraic equations that are difficult to handle with numerical root-finding methods. The proposed algorithm employs a vari...

While spectral analysis (e.g., Fast Fourier Transformation) of electroencephalogram (EEG) has been one of the most well established parameters in psychophysiology, physiological implication of fractal analysis has not been established. Further, systematic examination of the association between the waveforms of auditory stimuli and EEG is an untouched area of research. In the present study, we u...

This paper presents the fractal interpolation method of the human retina image. In the first part, we focus on the segmentation image with Skeletonization and identify different types of pixels. Secondly, using Douglas-Peucker algorithm to reduce the number of pixels in the image we try to keep a form close to the original. then, we used fractal interpolation( IFS ) to decompress the encoded im...

Together with rapid development in GI science recent decades, the fractal geometry represents a powerful tool for various geographic analyses and studies. This study points the land-cover areas with extreme values of fractal dimension in Olomouc region. This leads, together with consequent statistical analyses, to result that according to fractal dimension it is possible to distinguish (or at l...

Fractal image compression successfully uses selfsimilarity within an image to achieve compression. By adapting fractal image compression techniques to image enhancement, an innovative new fractal technique for visual enhancement of JPEG compressed images is created. After detecting the self-similarity characteristics of a degraded JPEG image, details spoiled by quantization are enhanced using 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 ...

Fractal modulation is obtained by forming a power weighted superposition of scaled and modulated versions of the signal. The resulting signal is self-similar with fractal characteristics. In this paper we explore fractal modulation as a powerful method to generate rich signals, useful both for the synthesis of complex sounds, like the sounds from natural events or ecological sounds, or as contr...

The paper describes a multi-resolution algorithm based on fractal geometry for texture analysis and detection of oil spills in SAR images. The multi-resolution approach reduces the problems of speckle and sea clutter and preserves subtle variations of oil slicks. The use of fractal dimension as a feature for classification improves the oil spill detection, since enhances texture discrimination....