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Application of Fractals 1. 1/f Noise and Fractals in DNA-base Sequences Spectral density measurement techniques are applied in anew manner to individual base positions in DNA sequences. Recent findings suggest that there is a prevalence of low frequency 1/fb noise and long range fractal correlates. 2. Fractal Geometry of Music Music can be investigated through visual representation of acoustic signals. Through the ease of scaling in music such that an eighth note is half the value of a quarter note in the same time signature has inspired many to make musical abstracts through scaling. An algorithm for music reduction has been devised and extensive studies have been down to prove that the music of many composers primarily Bach, is self similar. Similarly, the songs of birds are distinguished by their diatonic scale, which has a well structured succession of tones and pauses, and a proper combination of either bird songs or baroque can achieve enough variety to create a fractal geometry. 3. 2D and 3D Modeling of Marine Sessile Organisms Development of a model for the simulating radiate accretive growth in 3D is explained by fractal geometry. Both the 2D and 3D models used to describe the growth of these marine sessile organisms are based on an iterative geometric construction. 4. The Prediction of Ship Capsize It is difficult to account for all the forces acting on a ship when designing it, needless to say current methods are able to develop relatively stable ships, but recent studies suggest that fractals can help predict whether a certain hull design is more prone to capsizing than others. 5. On the Synthesis and Processing of Fractal Signals and Images This study recently discussed some of the techniques, mainly involving Fourier transformations, available for synthesizing and processing random fractal signals and images. 6. Fractal based Analysis and Synthesis of Multispectral Visual Texture for Camouflage A fractal model is perfect to determine the texture and synthesis of objects in nature, especially foliage. This paper suggest new methods to use fractals to synthesize better perceived and natural textures from a fractal model. 7. Application of Fractal Geometry to Geological Site Characterization In this study fractal geometry is applied to a problem of practical significance, that is generating a rock transmissivity field with realistic detail over a range of length scales from a relatively small number of measured values. 8. Analysis, Generation and Compression of Pavement Distress Images Using Fractals Fractal image compression is one of the most efficient compression algorithms developed. This study investigates using fractals to alleviate the data storage problem. The study attempts to use fractals to analyze, compress, and generate pavement distress features to avoid the prevalence of cracks in the road. Source: Applications of Fractals by Crilly,Earnshaw, and Jones |
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