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Various kinds of optimal criteria for the image restoration are investigated statistically which have been widely used in both linear and nonlinear restoration methods.It is pointed out that the Maximum Information(MI)criterion works well for restoring astronomical images,and three new criteria in the domain of image restoration are introduced which are respectively the Maximum Image Information(MII),Minimum Perceptual Mean Square Error(MPMSE)and Minimum Detection Probability MSE(MDP-MSE).Among them the former... Various kinds of optimal criteria for the image restoration are investigated statistically which have been widely used in both linear and nonlinear restoration methods.It is pointed out that the Maximum Information(MI)criterion works well for restoring astronomical images,and three new criteria in the domain of image restoration are introduced which are respectively the Maximum Image Information(MII),Minimum Perceptual Mean Square Error(MPMSE)and Minimum Detection Probability MSE(MDP-MSE).Among them the former is based on the principle of Fuzzy sets and the later two are based on the visual system models.The criteria of MDP-MES and MI are emphatically discussed. 本文论述了统计复原的各种最佳准则,这些准则曾广泛地应用于线性或非线性图象复原方法中;指出了最大信息法(MI)更适合复原天文图象。在图象复原领域内,引入了三种新的图象复原准则—最大图象信息法(MII)、最小视觉约方差法(MPMSE)和最小检测概率均方差法(MDP—MSE),前者基于模糊集原理,后两者基于人眼视觉特性。着重讨论了基于检测概率的复原准则(MDP—MSE)、最大信息复原准则(MI)。 Because of the limitation of the earthquake science level at present,the seismologists' estimations to the earthquake recurrence probability of the same fault zone are often different.In this paper, in order to synthesize and appraise the experts' ideas scientificly and directly, the method of weighted mean is used, so that the identity of the experts' ideas is reflected. In the mean time, the method of weighted mean square deviation is used to deal with the experts' ideas, so that the differance of the experts... Because of the limitation of the earthquake science level at present,the seismologists' estimations to the earthquake recurrence probability of the same fault zone are often different.In this paper, in order to synthesize and appraise the experts' ideas scientificly and directly, the method of weighted mean is used, so that the identity of the experts' ideas is reflected. In the mean time, the method of weighted mean square deviation is used to deal with the experts' ideas, so that the differance of the experts ideas can be reflected. In the end, the methods above are used to analyse the seismic risk of Xianshui River fault zone. 由于当前地震科学水平的限制,不同的地震学专家对同一断裂带地震复发概率的估计常常是不同的。为了较科学、直观地综合评定专家意见,本文采用了加权平均法。以反映专家意见的一致性。同时,本文采用了加权均方差法处理专家意见。以反映专家意见的差异性。最后,利用上述方法分析了鲜水河断裂带地震危险性。 We investigate various kinds of optimal criteria for image restoration statistically.These criteria have been widely used in both linear and nonlinear restoration methods.Wepoint out that Maximum Information(MⅠ)criterion works well in restoring astronomical images,and introduce three new criteria in the domain of image restoration.These are Maximum Image Information(MⅡ).Minimum Perceptual Mean Square Error(MPMSE)and Minimum Detec- tion Probability MSE(MSP MSE),the former is based on princeple of Fuzzy sets,the... We investigate various kinds of optimal criteria for image restoration statistically.These criteria have been widely used in both linear and nonlinear restoration methods.Wepoint out that Maximum Information(MⅠ)criterion works well in restoring astronomical images,and introduce three new criteria in the domain of image restoration.These are Maximum Image Information(MⅡ).Minimum Perceptual Mean Square Error(MPMSE)and Minimum Detec- tion Probability MSE(MSP MSE),the former is based on princeple of Fuzzy sets,the latter are based on visual system models.We place emphasis on the criteria of MDP-MSE and MⅠ. 本文详细地论述了统计复原的各种最佳准则,这些准则曾广泛地应用于线性或非线性图象复原方法中,指出了最大信息法(MI)更适合复原天文图象。在图象复原领域内,引入了三种新的图象复原准则——最大图象信息法(MII)、最小视觉差法(MPMSE)和最小检测概率均方差法(MDP-MSE).前者基于模糊集原理,后两者基于人眼视觉特性。着重讨论了基于检测概率的复原准则(MDP-MSE)、最大信息复原准则(MI).
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