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Properties of averaged projection filter for image restoration

โœ Scribed by Yukihiko Yamashita; Hidemitsu Ogawa

Publisher
John Wiley and Sons
Year
1992
Tongue
English
Weight
731 KB
Volume
23
Category
Article
ISSN
0882-1666

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โœฆ Synopsis

Abstract

The averaged projection filter (APF) is an optimal restoration filter proposed by the present authors in another paper. Here, properties of the APF are discussed in detail. For example, the image component of the restored image with the APF coincides with the original image if the original image belongs to a subspace. For the original images outside the subspace, the image component becomes the oblique projection onto a subspace of the original image in the mean square sense. A noise suppression mechanism of the APF also is clarified by using the null space of the APF. A simpler expression of the APF is given under some assumption. Finally, relations between the APF and the Wiener filter are discussed.

๐Ÿ“œ SIMILAR VOLUMES

Image restoration by averaged projection
Image restoration by averaged projection filter
โœ Yukihiko Yamashita; Hidemitsu Ogawa ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 806 KB

## Abstract A restoration filter called the averaged projection filter (APF) is proposed for the linear degradation model. The proposed filter selects the image with the least deviation of noise component from among those minimizing the image component of the restored image in the averaged sense wi

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A new iterative algorithm is presented for restoring noisy blurred images where the point spread function (PSF) is unknown. The method initially estimates the PSF and the original image using the Expectation Maximization (EM) method. The resulting image estimate is then refined by using the adaptive