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دراسة تحليلية للضوضاء التي تسببها الهندسة الكسورية == Analytical study of the noise caused by Fractal Geometry

Author name: نور باسل حسينين العباسي
Supervisor name: كاظم جواد كاظم الشجيري
General topic: Physics
Specific topic: Physics
Degree: Master
University: Mustansiriyah University
Language: Arabic
University location: Baghdad
First pages: 26T1961 - p.pdf
Abstract: The problem of storing and transmitting of digital images can be conceder as most important issue in computer application. Image compression by using fractal is one of the compression techniques that has many advantages like restoring good quality image with high compression ratio, but this technique could contain errors represented by noise, distortion and gray scale error, this thesis is studying the distortion and shifting in gray scale that cased by fractal geometry for restored images.In this work the method used is fixed size dividing (fixed block size) to encode images and deduce the fractal code for each block, this method implemented to collect codes for each block in the image to restore the original image later.In decoding and restoring process using fractal, the effect of repetition of fractal restoring is studied to know its effect on image quality.Also the effect of using various primary images (white, grey, black, random) considered in decoding process to give restored fractal image, though restored fractal images were studied for various quality factors to estimate the distortion or noise in an image as follows : *Study of whole image at once using PSNR.*study the homogeneous regions and value of distortion could happened using (σ, μ)* study the edge and non edge regions in the image and estimate the distortion using (σ, μ) for each region.From estimation results of fractal noise can notice the differences between original image and restored fractal image, also the histogram is approaches to Gaussian shape the width is decreasing with the increase repetitions for fractal restoring. Also it can be noticed that the larger distortion made by fractal is in the edges. And from homogeneous regions in the image ,the histogram for four cut regions there is increase in the base and less in height keeping the area under the curve unchanged
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