Wavelet deblurring algorithms for spatially varying blur from high-resolution image reconstruction
Publication in refereed journal

香港中文大學研究人員

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替代計量分析
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摘要High-resolution image reconstruction refers to reconstructing a higher resolution image from multiple low-resolution samples of a true image. In Chan et al. (Wavelet algorithms for high-resolution image reconstruction, Research Report #CUHK-2000-20, Department of Mathematics, The Chinese University of Hong Kong, 2000), we considered the case where there are no displacement errors in the low-resolution samples, i.e.,,the samples are aligned properly, and hence the blurring operator is spatially invariant. In this paper, we consider the case where there are displacement errors in the low-resolution samples. The resulting blurring operator is spatially varying and is formed by sampling and summing different spatially invariant blurring operators. We represent each of these spatially invariant blurring operators by a tensor product of a lowpass filter which associates the corresponding blurring operator with a multiresolution analysis of L-2(R-2). Using these filters and their duals, we derive an iterative algorithm to solve the problem based on the algorithmic framework of Chan et al. (Wavelet algorithms for high-resolution image reconstruction, Research Report #CUHK-2000-20, Department of Mathematics, The Chinese University of Hong Kong, 2000). Our algorithm requires a nontrivial modification to the algorithms in Chan et al. (Wavelet algorithms for high-resolution image reconstruction, Research Report #CUHK-2000-20, Department of Mathematics, The Chinese University of Hong Kong, 2000), which apply only to spatially invariant blurring operators. Our numerical examples show that our algorithm gives higher peak signal-to-noise ratios and lower relative errors than those from the Tikhonov least squares approach. (C) 2002 Elsevier Science Inc. All rights reserved.
著者Chan RH, Chan TF, Shen LX, Shen ZW
期刊名稱Linear Algebra and its Applications
出版年份2003
月份6
日期1
卷號366
出版社ELSEVIER SCIENCE INC
頁次139 - 155
國際標準期刊號0024-3795
語言英式英語
關鍵詞high-resolution image reconstruction; Tikhonov least squares method; wavelet
Web of Science 學科類別Mathematics; Mathematics, Applied; MATHEMATICS, APPLIED

上次更新時間 2020-22-11 於 01:17