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Title: | 雙重預處理矩陣於影像重建的應用 Two-Level preconditioners for Image Restoration Problem |
Authors: | Yu-Shiuan Tsai 蔡宇軒 |
Advisor: | 陳宜良(I-Liang Chern) |
Keyword: | 雙重預處理矩陣,影像重建, Two-Level preconditioners,Image Restoration, |
Publication Year : | 2005 |
Degree: | 碩士 |
Abstract: | 在影像處理中,對於影像的去雜訊與去模糊問題一直研究的課題,而去雜訊與去模糊本身就是背道而馳。
在第二章中,定義 toeplitz 與 circulant 矩陣以及 block toeplitz 與 block circulant 結構,並將離散型傅立葉變換應用於模糊算子K中,加速模糊算子作用於影像的速度。最後定義粗網格子空間以供網格的分解。 在第三章中,利用 two-level preconditioner 於 ill-conditiond 方程組 Au=b,並對粗網格使用共軛梯度法。之後使用Schur Complement Conjugate Gredient 演算法。 在第四章中,介紹實際使用此演算法的細節,並將結果畫於圖中。 This paper is organized as follows. In section 2, we introduce some notations and properties which will be used. In section 3, two-level preconditioner is referred. And finally, in chapter 4 we make numerical test based on the above methods. |
URI: | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/38090 |
Fulltext Rights: | 有償授權 |
Appears in Collections: | 數學系 |
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