Abstract
A local spatial convolution filter for the restoration of one- and two—dimensional signals is suggested whose design is based on approximating any global linear restoration filter, which might be the Wiener, pseudoinverse, constrained least squares, or projection filter. The local filter provides a restoration that is as close as possible to the global restoration. It is shown by an example using a blurred standard image that the restorations are satisfactory even when the filter size is quite small. Quantitative properties of the suggested localization filter are discussed.
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References
H.C. Andrews and B.R. Hunt,Digital Image Restoration. Prentice- Hall, Englewood Cliffs, NJ, 1977.
R. Frieden, Image restoration by discrete convolution of minimal length, J. Opt. Soc. Am. 64, pp. 682–686, May 1974.
M.J. Lahart, Local image restoration by a least—squares method, J. Opt. Soc. Am. 69, pp. 1333–1339, Oct. 1979.
H. Ogawa and N. Nakamura, Projection Filter restoration of degraded images, Proc. 7th ICPR, Montreal, July 30 - Aug. 2, 1984, pp. 601–603.
E. Oja and J. Lampinen. A fast local PPF restoration filter, Proc. 1986 ICASSP, Tokyo, April 7–11, 1986, pp. 1497–1500.
E. Oja and H. Ogawa, Parametric Projection Filter for image and signal restoration, IEEE Trans. ASSP, vol. ASSP-34, pp. 1643–1653, Dec. 1986.
L. R. Rabiner and B. Gold, Theory and Application of Digi- tal Signal Processing. Prentice-Hall, Englewood Cliffs, NJ, 1975.
B.E.A.Saleh, Trade—off between resolution and noise in restoration by superposition of images, Appl.Opt.17, pp. 2186–2190,1978.
EJ.Trussell and M.R.Civanlar, The feasible solution in signal restoration, IEEE Trans. ASSP, vol. ASSP-32, pp. 201–212, April 1984.
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© 1988 Plenum Press, New York
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Oja, E., Lampinen, J. (1988). Image Restoration by Fast Local Convolution. In: Cantoni, V., Di Gesù, V., Levialdi, S. (eds) Image Analysis and Processing II. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-1007-5_41
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DOI: https://doi.org/10.1007/978-1-4613-1007-5_41
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4612-8289-1
Online ISBN: 978-1-4613-1007-5
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