Parameter Estimation and Image Restoration Using the Families of Projection Filters and Parametric Projection Filters
Summary :
It is widely known that the family of projection filters includes the generalized inverse filter, and that the family of parametric projection filters includes parametric generalized projection filters. However, relations between the family of parametric projection filters and constrained least squares filters are not sufficiently clarified. In this paper, we consider relations between parameter estimation and image restoration by these families. As a result, we show that the restored image by the family of parametric projection filters is a maximum penalized likelihood estimator, and that it agrees with the restored image by constrained least squares filter under some suitable conditions.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E85-A No.8 pp.1966-1969
- Publication Date
- 2002/08/01
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- LETTER
- Category
- Digital Signal Processing
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Hideyuki IMAI, Yuying YUAN, Yoshiharu SATO, "Parameter Estimation and Image Restoration Using the Families of Projection Filters and Parametric Projection Filters" in IEICE TRANSACTIONS on Fundamentals,
vol. E85-A, no. 8, pp. 1966-1969, August 2002, doi: .
Abstract: It is widely known that the family of projection filters includes the generalized inverse filter, and that the family of parametric projection filters includes parametric generalized projection filters. However, relations between the family of parametric projection filters and constrained least squares filters are not sufficiently clarified. In this paper, we consider relations between parameter estimation and image restoration by these families. As a result, we show that the restored image by the family of parametric projection filters is a maximum penalized likelihood estimator, and that it agrees with the restored image by constrained least squares filter under some suitable conditions.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e85-a_8_1966/_p
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@ARTICLE{e85-a_8_1966,
author={Hideyuki IMAI, Yuying YUAN, Yoshiharu SATO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Parameter Estimation and Image Restoration Using the Families of Projection Filters and Parametric Projection Filters},
year={2002},
volume={E85-A},
number={8},
pages={1966-1969},
abstract={It is widely known that the family of projection filters includes the generalized inverse filter, and that the family of parametric projection filters includes parametric generalized projection filters. However, relations between the family of parametric projection filters and constrained least squares filters are not sufficiently clarified. In this paper, we consider relations between parameter estimation and image restoration by these families. As a result, we show that the restored image by the family of parametric projection filters is a maximum penalized likelihood estimator, and that it agrees with the restored image by constrained least squares filter under some suitable conditions.},
keywords={},
doi={},
ISSN={},
month={August},}
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TY - JOUR
TI - Parameter Estimation and Image Restoration Using the Families of Projection Filters and Parametric Projection Filters
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1966
EP - 1969
AU - Hideyuki IMAI
AU - Yuying YUAN
AU - Yoshiharu SATO
PY - 2002
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E85-A
IS - 8
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - August 2002
AB - It is widely known that the family of projection filters includes the generalized inverse filter, and that the family of parametric projection filters includes parametric generalized projection filters. However, relations between the family of parametric projection filters and constrained least squares filters are not sufficiently clarified. In this paper, we consider relations between parameter estimation and image restoration by these families. As a result, we show that the restored image by the family of parametric projection filters is a maximum penalized likelihood estimator, and that it agrees with the restored image by constrained least squares filter under some suitable conditions.
ER -
English
