激光与光电子学进展, 2016, 53 (3): 031002, 网络出版: 2016-03-04
基于改进P-M 模型与加权复合型中值滤波的非球面干涉图去噪方法
Aspheric Interferogram Image Denoising Method Based on the Improved P-M Modeland Weighted Composite Median Filter
摘要
针对非球面干涉图在预处理过程中去噪的问题,提出了一种基于改进P-M 模型与加权复合型中值滤波相结合的去噪方法。分析了P-M 模型,指出了该模型在去噪中的缺点并且提出了相应的改进模型。讨论了经典的中值滤波模型,但有时利用中值来替代污染值反而会使图像尖锐的边缘信息变得平滑,因此对其进行了改进。在此基础上,提出将改进P-M 模型与复合型中值滤波融合在一起的去噪方法。理论分析与仿真实验结果表明:该方法不仅可以有效地去除非球面干涉图中的噪声,而且能够克服图像去噪后存在的边缘模糊现象,更好地保护干涉图的特征信息即图像边缘和细节信息。该方法对干涉图进行预处理后取得了较好的效果,充分体现了该方法的优越性。
Abstract
Based on the improved P-M model and the weighted compound median filter, a denoising method is presented for the denoising of aspheric interferogram image in pretreatment. By analyzing the P- M model, its shortcomings in the denoising are pointed out and the homologous modified models are proposed. The classic median filtering model is discussed. However, when the median value substitutes the contaminated value, it is counter productive that the image poignant marginal information becomes smooth. Therefore, this method is improved. On this basis, the denoise method is proposed combining the improved P- M model and composite median filter. Theoretical analysis and simulation results show that the proposed method can not only denoise aspherical interferogram image noise effectively, but also overcome blurred edge existing defects after denoising. The characteristics of the interferogram image edges and the details information are protected. The proposed method achieves better results after preprocessing the interferogram image ,which reflect the superiority of this method sufficiently.
王伟佳, 于雪莲, 马文书, 周坤, 赵文彬, 李宏伟. 基于改进P-M 模型与加权复合型中值滤波的非球面干涉图去噪方法[J]. 激光与光电子学进展, 2016, 53(3): 031002. Wang Weijia, Yu Xuelian, Ma Wenshu, Zhou Kun, Zhao Wenbin, Li Hongwei. Aspheric Interferogram Image Denoising Method Based on the Improved P-M Modeland Weighted Composite Median Filter[J]. Laser & Optoelectronics Progress, 2016, 53(3): 031002.