Numerical Methods for Wilcoxon Fractal Image Compression
碩士 === 國立中山大學 === 電機工程學系研究所 === 95 === In the thesis, the Wilcoxon approach to linear regression problems is combined with the fractal image compression to form a novel Wilcoxon fractal image compression. When the original image is corrupted by noise, we argue that the fractal image compression sch...
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ndltd-TW-095NSYS54420342019-05-15T20:22:41Z http://ndltd.ncl.edu.tw/handle/e7u3tg Numerical Methods for Wilcoxon Fractal Image Compression Wilcoxon碎形影像壓縮之數值方法 Pei-Hung Jau 招沛宏 碩士 國立中山大學 電機工程學系研究所 95 In the thesis, the Wilcoxon approach to linear regression problems is combined with the fractal image compression to form a novel Wilcoxon fractal image compression. When the original image is corrupted by noise, we argue that the fractal image compression scheme should be insensitive to those outliers present in the corrupted image. This leads to the new concept of robust fractal image compression. The proposed Wilcoxon fractal image compression is the first attempt toward the design of robust fractal image compression. Four different numerical methods, i.e., steepest decent, line minimization based on quadratic interpolation, line minimization based on cubic interpolation, and least absolute deviation, will be proposed to solve the associated linear Wilcoxon regression problem. From the simulation results, it will be seen that, compared with the traditional fractal image compression, Wilcoxon fractal image compression has very good robustness against outliers caused by salt-and-pepper noise. However, it does not show great improvement of the robustness against outliers caused by Gaussian noise. Jer-Guang Hsieh 謝哲光 2007 學位論文 ; thesis 66 en_US |
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碩士 === 國立中山大學 === 電機工程學系研究所 === 95 === In the thesis, the Wilcoxon approach to linear regression problems is combined with the fractal image compression to form a novel Wilcoxon fractal image compression. When the original image is corrupted by noise, we argue that the fractal image compression scheme should be insensitive to those outliers present in the corrupted image. This leads to the new concept of robust fractal image compression. The proposed Wilcoxon fractal image compression is the first attempt toward the design of robust fractal image compression. Four different numerical methods, i.e., steepest decent, line minimization based on quadratic interpolation, line minimization based on cubic interpolation, and least absolute deviation, will be proposed to solve the associated linear Wilcoxon regression problem. From the simulation results, it will be seen that, compared with the traditional fractal image compression, Wilcoxon fractal image compression has very good robustness against outliers caused by salt-and-pepper noise. However, it does not show great improvement of the robustness against outliers caused by Gaussian noise.
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author2 |
Jer-Guang Hsieh |
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Jer-Guang Hsieh Pei-Hung Jau 招沛宏 |
author |
Pei-Hung Jau 招沛宏 |
spellingShingle |
Pei-Hung Jau 招沛宏 Numerical Methods for Wilcoxon Fractal Image Compression |
author_sort |
Pei-Hung Jau |
title |
Numerical Methods for Wilcoxon Fractal Image Compression |
title_short |
Numerical Methods for Wilcoxon Fractal Image Compression |
title_full |
Numerical Methods for Wilcoxon Fractal Image Compression |
title_fullStr |
Numerical Methods for Wilcoxon Fractal Image Compression |
title_full_unstemmed |
Numerical Methods for Wilcoxon Fractal Image Compression |
title_sort |
numerical methods for wilcoxon fractal image compression |
publishDate |
2007 |
url |
http://ndltd.ncl.edu.tw/handle/e7u3tg |
work_keys_str_mv |
AT peihungjau numericalmethodsforwilcoxonfractalimagecompression AT zhāopèihóng numericalmethodsforwilcoxonfractalimagecompression AT peihungjau wilcoxonsuìxíngyǐngxiàngyāsuōzhīshùzhífāngfǎ AT zhāopèihóng wilcoxonsuìxíngyǐngxiàngyāsuōzhīshùzhífāngfǎ |
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