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基于四阶偏微分方程的盲图像恢复模型

DOI: 10.11834/jig.20100105

Keywords: 图像盲恢复,全变分正则化,四阶偏微分方程,阶梯效应

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Abstract:

由于全变分(totalvariation,TV)正则化方法能够很好地保持边界,因而在图像去噪和恢复中得到广泛的应用,但其一个显著的缺点就是会在恢复出来的图像中产生阶梯效应。针对此问题给出了一种基于四阶偏微分方程(PDE)的盲图像恢复模型,该模型在Chan和Wong的全变分模型的基础上,用四阶范数来代替TV范数,构造了一种新的能量泛函,消除了全变分正则化方法所产生的阶梯效应。实验结果表明,该模型能取得较好的图像恢复效果。

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