Please use this identifier to cite or link to this item: http://hdl.handle.net/11455/97324
DC FieldValueLanguage
dc.contributor陳鵬文zh_TW
dc.contributorPeng-Wen Chenen_US
dc.contributor.author楊子毅zh_TW
dc.contributor.authorZhi-Yi Yangen_US
dc.contributor.other應用數學系所zh_TW
dc.date2016zh_TW
dc.date.accessioned2019-02-01T05:32:36Z-
dc.identifier.citation[1] J. R. Fienup, ”Phase retrieval algorithms: a comparison”, Appl. Opt.,21: 2758-69(1982). [2] A. Fannjiang and W. Liao, ”Phasing with phase-uncertain mask”, Inverse Problems, 29: 125001(2013). [3] Hongwei Guo, ”A simple algorithm for fitting a Gaussian function,” IEEE Sign. Proc. Mag. 28(9): 134-137 (2011). [4] Rafael Gonzalez, Richard Woods, and Steven Eddins. Digital Image Processing Using Matlab. Prentice Hall, 2003. [5] R. W. Gerchberg and W. O. Saxton, ”A practical algorithm for the determination of phase from image and diffraction plane pictures”, Optik, 35: 237-46(1972). [6] Z. Wen, C. Yang, X. Liu and S. Marchesini, ”Alternating direction methods for classical and ptychographic phase retrieval”, Inverse Problems, 28: 115010(18pp), 2012. [7] H. H. Bauschke, P. L. Combettes and D. R. Luke, ”Hybrid projectionreflection method for phase retrieval”, J. Opt. Soc. Am. A, 20: 1025-34(2003). [8] A. Chambolle, ”An algorithm for total variation minimization and applications”, Mathematical imaging and vision, 20: 89-97(2004). [9] The USC-SIPI Image Database, http://sipi.usc.edu/database/ , University of Southern California, Signal and Image Processing Institute. [10] Pengwen Chen and Albert Fannjiang, ”Fourier Phase Retrieval with a Single Mask by Douglas-Rachford Algorithm”, Sep. 2015. [11] The Ming-Fang Chang,”The TV-norm based algorithms for solving phase retrieval”, Aug. 2015.zh_TW
dc.identifier.urihttp://hdl.handle.net/11455/97324-
dc.description.abstract在成像科學領域中,一般性的測量是難以決定相位,例如X 射線成像,檢測器可以接收的標準光波,只能是利用傅立葉強度的測量。標準的相位回復問題是從傅立葉強度的測量數據中回復相位資訊,試著重建未知的訊號(或影像)。進行測量與重建時,Albert Fannjiang 提出:藉由引進隨機製造的遮罩,可以高度地保持可能解的唯一性,達到全域相位係數的解。在這篇論文中,我們提供一些實驗,說明再有模糊和雜訊時無法成功重建的情況,對於解決影像相位重建問題,我們的貢獻有 1. 建構Deblurring algorithm,使用TV norm 的相位還原演算法。 2. 將影像切割的方式,使用Douglas-Rachford algorithm 做還原。zh_TW
dc.description.tableofcontents中文摘要..........i SUMMARY..........ii 目錄..........iii 圖目次..........iv 表目次..........v 符號說明..........vi 壹、Introduction ..........1 貳、Construction Problems and Wiener deconvolution ..........5 一、Construction Problems ..........5 二、Wiener deconvolution ..........6 Experiment 1 .......... 9 Experiment 2 ..........13 參、Phase retrieval algorithms ..........17 一、ER algorithms ..........18 二、Alternating direction methods ..........21 肆、TV norm and Deblurring algorithms ..........23 一、TV norm ..........25 二、Deblurring algorithms ..........26 伍、Ptychography and Douglas-Rachford algorithm ..........30 一、Ptychography ..........30 二、Douglas-Rachford algorithm ..........32 陸、Experiment ..........34 一、Experiment 3 ..........36 二、Experiment 4 ..........40 三、Experiment 5 ..........44 柒、Conclusion ..........50 參考文獻..........51zh_TW
dc.language.isozh_TWzh_TW
dc.rights同意授權瀏覽/列印電子全文服務,2018-10-25起公開。zh_TW
dc.subject相位還原演算法zh_TW
dc.subject去除雜訊演算法zh_TW
dc.subject去除模糊演算法zh_TW
dc.subjectphase retrieval algorithmsen_US
dc.subjectdenoising algorithmsen_US
dc.subjectdeblurring algorithmsen_US
dc.title除模糊演算法對於相位重建問題zh_TW
dc.titleDeblurring algorithms in phase retrievalen_US
dc.typethesis and dissertationen_US
dc.date.paperformatopenaccess2018-10-25zh_TW
dc.date.openaccess2018-10-25-
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item.openairetypethesis and dissertation-
item.cerifentitytypePublications-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
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