A Fusion Denoising Method Based on Both Gaussian Curvature-driven and Differential of Higher Order[J]. Journal of Image and Graphics, 2009, 14(2): 260-266. DOI: 10.11834/jig.20090211.
A Fusion Denoising Method Based on Both Gaussian Curvature-driven and Differential of Higher Order
Lee Suk-Ho和Seo Jin Keun提出的基于高斯曲率的去噪方法在处理低梯度区域时,虽然对于保留图像的细节特征非常有效,但是步长选择稍大时,会产生黑白点,过小又会增加迭代次数。针对此问题,提出了一种用Tukeys biweight 函数来控制曲率扩散的修正模型,该模型可以在较大时间步长的情况下避免黑白点的出现。进一步,为了利用高阶去噪方法对高梯度区域进行快速去噪,提出了一种将高斯曲率去噪方程和四阶偏微分方程相融合的去噪模型
The Gaussian curvature based method proposed by Suk Ho Lee and Jin Keun Seo was applicable to low gradient image areas and reserved its characteristics availably
But black and white points would appear on the resumed image if the iterative step is a bit longer and the number of iterations would severely increase when small step is selected. This paper proposes a modified model which can avoid the appearance of noising points with a larger step
with use of Tukeys biweight function to control the diffuseness of Guassian curvature. Farther more
considering the denoising methods of higher order are effectual and rapid for high gradient image areas
it introduces a fusion denoising model based on both Gaussian curvature and differential of higher order. The model could distribute different weights to every part reasonably according to real images. The presented model can not only remove salt and pepper noise
which cannot be accomplished the surface fitting method but also keep virtues of each technique. Edges and characteristics would be reserved synchronously.