Acta mathematica scientia,Series B ›› 2003, Vol. 23 ›› Issue (4): 512-.

• Articles • Previous Articles     Next Articles

A METHOD TO APPROACH OPTIMAL ESTORATION IN IMAGE RESTORATION ROBLEMS WITHOUT NOISE ENERGY NFORMATION

 CENG San-You, DING Li-Xin, KANG Li-Shan   

  1. 1.State Key Laboratory of Software Engineering, Wuhan University, Wuhan 430072, China
    2.Deptartment of Computer Science, Zhuzhou Institute of Technology, Zhuzhou 412008, China
  • Online:2003-10-06 Published:2003-10-06
  • Supported by:

    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(20025001002) and the Opening Re-
    search Foundation at State Key Lab of Software Engineering.

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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 solu-
tion. Otherwise, the technique has a mechanism to predict noise energy. So, without noise
information, it can also work and yield good restoration results.

Key words: Regularization method, image restoration, wavelet transform

CLC Number: 

  • 68U10
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