Filter Design Based on the Theory of the Generalized Morphological Filter with Omnidirectional Structuring Element

Author(s):  
Xiang-guang Zhang ◽  
Yun Liu ◽  
Chuan-xu Wang
2011 ◽  
Vol 128-129 ◽  
pp. 181-184
Author(s):  
You Lian Zhu ◽  
Cheng Huang

Design of morphological filter greatly depends on morphological operations and structuring elements selection. A filter design method used median closing morphological operation is proposed to enhance the image denoising ability and the PSO algorithm is introduced for structural elements selecting. The method takes the peak value signal-to-noise ratio (PSNR) as the cost function and may adaptively build unit structuring elements with zero square matrix. Experimental results show the proposed method can effectively remove impulse noise from a noisy image, especially from a low signal-to-noise ratio (SNR) image; the noise reduction performance has obvious advantages than the other.


2018 ◽  
Vol 2018 ◽  
pp. 1-12 ◽  
Author(s):  
Xiaohang Zhou ◽  
Deshan Shan ◽  
Qiao Li

In the ensemble empirical mode decomposition (EEMD) algorithm, different realizations of white noise are added to the original signal as dyadic filter banks to overcome the mode mixing problems of empirical mode decomposition (EMD). However, not all the components in white noise are necessary, and the superfluous components will introduce additional mode mixing problems. To address this problem, morphological filter-assisted ensemble empirical mode decomposition (MF-EEMD) was proposed in this paper. First, a new method for determining the structuring element shape and size was proposed to improve the adaptive ability of morphological filter (MF). Then, the adaptive MF was introduced into EMD to remove the superfluous white noise components to improve the decomposition results. Based on the contributions of MF in a single EMD process, the MF-EEMD was proposed by combining EEMD with MF to suppress the mode mixing problems. Finally, an analog signal and a measured signal were used to verify the feasibility of MF-EEMD. The results show that MF-EEMD significantly mitigates the mode mixing problems and achieves a higher decomposition efficiency compared to that of EEMD.


Geophysics ◽  
2021 ◽  
pp. 1-51
Author(s):  
Chuangjian Li ◽  
Jingtao Zhao ◽  
Suping Peng ◽  
Yanxin Zhou

Diffraction imaging is an important technique for high-resolution imaging because of the close relationship between diffractions and small-scale discontinuities. Therefore, we propose a diffraction imaging method using a mathematical morphological filter (MMF). In a common-image gather (CIG), reflections have an evident energy band associated with the Fresnel zone and stationary point, whereas diffractions can be observed in a wide illumination direction and therefore has no energy band. Based on these phenomena, we analyze the amplitude distributions of the diffractions and reflections, and propose a time-varying structuring element (SE) in the MMF. Based on the time-varying SE, the proposed method can effectively suppress reflections and has the advantage of automatically preserving the diffractions energy near the stationary point. Numerical and field experiments demonstrate the efficient performance of the proposed method in imaging diffractions and obtaining high-resolution information.


2019 ◽  
Vol 51 (2) ◽  
pp. 232-247
Author(s):  
Bahareh Boustani ◽  
Abdolrahim Javaherian ◽  
Majid Nabi-Bidhendi ◽  
Siyavash Torabi ◽  
Hamid Reza Amindavar

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