Statistical Properties of Images Blurred by Various Motions

Tetsuo SHIMONO; Hideo KITAJIMA

Statistical Properties of Images Blurred by Various Motions

Tetsuo SHIMONO, Hideo KITAJIMA

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In the field of the restoration of motion blurred images, several deterministic techniques are proposed. Motion blurred images, however, include an ambiguity intrinsically. Therefore, the statistical restoration techniques are suited for the aim. In this paper, we describe the statistical properties of images blurred by various motions in mean square error sense since the discussions on the subject have been not presented in the past. The mean square errors of images blurred by motions and of images restored by Wiener filtering are formulated. The relations between the mean square errors and the extent of the motion blur or the correlation coefficient of the object are presented. The differences of the mean square errors among the various motions are discussed. Furthermore, these formulations are expanded to the motion blurred images imbedded by additive noise.

Publication: IEICE TRANSACTIONS on transactions Vol.E64-E No.6 pp.377-382

Publication Date: 1981/06/25

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Type of Manuscript: PAPER

Category: Data Processing

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Tetsuo SHIMONO
Hideo KITAJIMA

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Tetsuo SHIMONO, Hideo KITAJIMA, "Statistical Properties of Images Blurred by Various Motions" in IEICE TRANSACTIONS on transactions, vol. E64-E, no. 6, pp. 377-382, June 1981, doi: .
Abstract: In the field of the restoration of motion blurred images, several deterministic techniques are proposed. Motion blurred images, however, include an ambiguity intrinsically. Therefore, the statistical restoration techniques are suited for the aim. In this paper, we describe the statistical properties of images blurred by various motions in mean square error sense since the discussions on the subject have been not presented in the past. The mean square errors of images blurred by motions and of images restored by Wiener filtering are formulated. The relations between the mean square errors and the extent of the motion blur or the correlation coefficient of the object are presented. The differences of the mean square errors among the various motions are discussed. Furthermore, these formulations are expanded to the motion blurred images imbedded by additive noise.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e64-e_6_377/_p

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@ARTICLE{e64-e_6_377,
author={Tetsuo SHIMONO, Hideo KITAJIMA, },
journal={IEICE TRANSACTIONS on transactions},
title={Statistical Properties of Images Blurred by Various Motions},
year={1981},
volume={E64-E},
number={6},
pages={377-382},
abstract={In the field of the restoration of motion blurred images, several deterministic techniques are proposed. Motion blurred images, however, include an ambiguity intrinsically. Therefore, the statistical restoration techniques are suited for the aim. In this paper, we describe the statistical properties of images blurred by various motions in mean square error sense since the discussions on the subject have been not presented in the past. The mean square errors of images blurred by motions and of images restored by Wiener filtering are formulated. The relations between the mean square errors and the extent of the motion blur or the correlation coefficient of the object are presented. The differences of the mean square errors among the various motions are discussed. Furthermore, these formulations are expanded to the motion blurred images imbedded by additive noise.},
keywords={},
doi={},
ISSN={},
month={June},}

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TY - JOUR
TI - Statistical Properties of Images Blurred by Various Motions
T2 - IEICE TRANSACTIONS on transactions
SP - 377
EP - 382
AU - Tetsuo SHIMONO
AU - Hideo KITAJIMA
PY - 1981
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E64-E
IS - 6
JA - IEICE TRANSACTIONS on transactions
Y1 - June 1981
AB - In the field of the restoration of motion blurred images, several deterministic techniques are proposed. Motion blurred images, however, include an ambiguity intrinsically. Therefore, the statistical restoration techniques are suited for the aim. In this paper, we describe the statistical properties of images blurred by various motions in mean square error sense since the discussions on the subject have been not presented in the past. The mean square errors of images blurred by motions and of images restored by Wiener filtering are formulated. The relations between the mean square errors and the extent of the motion blur or the correlation coefficient of the object are presented. The differences of the mean square errors among the various motions are discussed. Furthermore, these formulations are expanded to the motion blurred images imbedded by additive noise.
ER -