書誌事項
- タイトル別名
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- A Restoration Method of Degraded Images using Factorization of Polynomials
- タコウシキ ノ インスウ ブンカイ オ リヨウ シタ レッカ ガゾウ ノ フクゲンホウ
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P(論文)
Usually, observed images are degraded and represented by the convolution of two signals. Here, one is an original image and the other is a point spread function (PSF) which causes degradation of original images. Blind deconvolution (BD) is the problem to estimate an original image and a PSF from only a degraded image. If we have no restriction condition to signals, we can not determine a pair of two signals. Because this problem sometimes has many solutions and, in the worst case, has infinite solutions. Nevertheless, almost everyone does not discuss this indeterminate property. In this paper, we show that BD has only finite solutions if an original image and a PSF are nonzero over a restricted domain, in other words, an observed image has finite support. Then we propose an algorithm to find all finite solutions under this boundary condition. The key of the proof is to use z transformation and factorization of polynomials. Moreover, we give a sufficient condition in which BD has only one solution. Finally we confirm that we can extract all sets of an original image and a PSF from a degraded image by using our algorithm in numerical examples.
収録刊行物
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- 福山大学工学部紀要
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福山大学工学部紀要 27 219-224, 2003-12
福山 : 福山大学工学部
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詳細情報 詳細情報について
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- CRID
- 1050282812578371456
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- NII論文ID
- 120005500758
- 110007406465
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- NII書誌ID
- AN00217655
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- ISSN
- 0286858X
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- NDL書誌ID
- 6845850
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- 本文言語コード
- ja
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- 資料種別
- departmental bulletin paper
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- データソース種別
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- IRDB
- NDL
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