| A METHOD TO APPROACH OPTIMAL RESTORATION IN IMAGE RESTORATION PROBLEMS WITHOUT NOISE ENERGY INFORMATION |
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| 作者姓名： | 曾三友 丁立新 康立山 |
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| 作者单位： | [1]DeptartmentofComputerScience,ZhuzhouInstituteofTechnology,Zhuzhou412008,China [2]StateKeyLaboratorllofSoftwareEngineering,WuhanUninersity,Wuhan430072,China |
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| 基金项目： | This work was supported by the National Natural Science Foundation of China(60204001, 60133010)，the Scientific Research Fundation of Hunan Provincial Education Department(02C640)，the Youth Chengguang Project of Science and Technology of Wuhan City( |
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| 摘 要： | This paper proposes a new image restoration technique, in which the resulting regularized image approximates the optimal solution steadily. The affect of the regular-ization operator and parameter on the lower band and upper band energy of the residue of the regularized image is theoretically analyzed by employing wavelet transform. This paper shows that regularization operator should generally be lowstop and highpass. So this paper chooses a lowstop and highpass operator as regularization operator, and construct an optimization model which minimizes the mean squares residue of regularized solution to determine regularization parameter. Although the model is random, on the condition of this paper, it can be solved and yields regularization parameter and regularized solu-tion. Otherwise, the technique has a mechanism to predict noise energy. So, without noisei nformation, it can also work and yield good restoration results.
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| 关 键 词： | 图象恢复 噪音能量信息 正则化算子 小波变换 渐近最优解 模型 最小二乘 极小化 |
A METHOD TO APPROACH OPTIMAL RESTORATION IN IMAGE RESTORATION PROBLEMS WITHOUT NOISE ENERGY INFORMATION |
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| Zeng Sanyou Ding Lixin Kang Lishan
.State Key Laboratory of Software Engineering,Wuhan University,Wuhan ,China .Deptartment of Computer Science,Zhuzhou Institute of Technology,Zhuzhou ,China.A METHOD TO APPROACH OPTIMAL RESTORATION IN IMAGE RESTORATION PROBLEMS WITHOUT NOISE ENERGY INFORMATION[J].Acta Mathematica Scientia,2003,23(4):512-520. |
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| Authors: | Zeng Sanyou Ding Lixin Kang Lishan
State Key Laboratory of Software Engineering Wuhan University Wuhan China Deptartment of Computer Science Zhuzhou Institute of Technology Zhuzhou China |
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| Institution: | Zeng Sanyou Ding Lixin Kang Lishan
1.State Key Laboratory of Software Engineering,Wuhan University,Wuhan 430072,China 2.Deptartment of Computer Science,Zhuzhou Institute of Technology,Zhuzhou 412008,China |
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| Abstract: | This paper proposes a new image restoration technique, in which the resulting regularized image approximates the optimal solution steadily. The affect of the regular-ization operator and parameter on the lower band and upper band energy of the residue of the regularized image is theoretically analyzed by employing wavelet transform. This paper shows that regularization operator should generally be lowstop and highpass. So this paper chooses a lowstop and highpass operator as regularization operator, and construct an optimization model which minimizes the mean squares residue of regularized solution to determine regularization parameter. Although the model is random, on the condition of this paper, it can be solved and yields regularization parameter and regularized solution. Otherwise, the technique has a mechanism to predict noise energy. So, without noise information, it can also work and yield good restoration results. |
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| Keywords: | Regularization method image restoration wavelet transform |
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