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INVERSE SOURCE PROBLEMS FOR THE STOCHASTIC WAVE EQUATIONS: FAR-FIELD PATTERNS 期刊论文 OAI收割
SIAM JOURNAL ON APPLIED MATHEMATICS, 2022, 卷号: 82, 期号: 4, 页码: 1113-1134
作者: Li, Jianliang; Li, Peijun

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收藏 | 浏览/下载：46/0 | 提交时间：2023/02/07

Key words inverse source problem stochastic wave equation Gaussian random field pseudodifferential operator far-field pattern uniqueness

INVERSE ELASTIC SCATTERING FOR A RANDOM POTENTIAL\ast 期刊论文 OAI收割
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2022, 卷号: 54, 期号: 5, 页码: 5126-5159
作者: LI, Jianliang; LI, Peijun; Wang, Xu

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收藏 | 浏览/下载：44/0 | 提交时间：2023/02/07

inverse scattering problem elastic wave equation generalized Gaussian random field pseudodifferential operator principal symbol uniqueness

AN APPROXIMATE FACTORIZATION METHOD FOR INVERSE ACOUSTIC SCATTERING WITH PHASELESS TOTAL-FIELD DATA 期刊论文 OAI收割
SIAM JOURNAL ON APPLIED MATHEMATICS, 2020, 卷号: 80, 期号: 5, 页码: 2271-2298
作者: Zhang, Bo; Zhang, Haiwen

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收藏 | 浏览/下载：35/0 | 提交时间：2021/01/14

inverse acoustic scattering approximate factorization method phaseless total-field data asymptotic behavior of phaseless total-field operator

Image Fusion Based on the Delta(-1) - TV0 Energy Function 期刊论文 OAI收割
ENTROPY, 2014, 卷号: 16, 期号: 11, 页码: 6099-6115
作者: Xie, Qiwei; Ma, Chao; Guo, Chunzhao; John, Vijay

收藏 | 浏览/下载：61/0 | 提交时间：2015/08/12

image fusion inverse transform of the Laplace operator (Delta(-1)) sparse norm total variation

Multi-focus image fusion algorithm based on adaptive PCNN and wavelet transform (EI CONFERENCE) 会议论文 OAI收割
International Symposium on Photoelectronic Detection and Imaging 2011: Advances in Imaging Detectors and Applications, May 24, 2011 - May 26, 2011, Beijing, China
Wu Z.-G.; Wang M.-J.; Han G.-L.

收藏 | 浏览/下载：167/0 | 提交时间：2013/03/25

Being an efficient method of information fusion image fusion has been used in many fields such as machine vision medical diagnosis military applications and remote sensing.In this paper Pulse Coupled Neural Network (PCNN) is introduced in this research field for its interesting properties in image processing including segmentation target recognition et al. and a novel algorithm based on PCNN and Wavelet Transform for Multi-focus image fusion is proposed. First the two original images are decomposed by wavelet transform. Then based on the PCNN a fusion rule in the Wavelet domain is given. This algorithm uses the wavelet coefficient in each frequency domain as the linking strength so that its value can be chosen adaptively. Wavelet coefficients map to the range of image gray-scale. The output threshold function attenuates to minimum gray over time. Then all pixels of image get the ignition. So the output of PCNN in each iteration time is ignition wavelet coefficients of threshold strength in different time. At this moment the sequences of ignition of wavelet coefficients represent ignition timing of each neuron. The ignition timing of PCNN in each neuron is mapped to corresponding image gray-scale range which is a picture of ignition timing mapping. Then it can judge the targets in the neuron are obvious features or not obvious. The fusion coefficients are decided by the compare-selection operator with the firing time gradient maps and the fusion image is reconstructed by wavelet inverse transform. Furthermore by this algorithm the threshold adjusting constant is estimated by appointed iteration number. Furthermore In order to sufficient reflect order of the firing time the threshold adjusting constant is estimated by appointed iteration number. So after the iteration achieved each of the wavelet coefficient is activated. In order to verify the effectiveness of proposed rules the experiments upon Multi-focus image are done. Moreover comparative results of evaluating fusion quality are listed. The experimental results show that the method can effectively enhance the edge details and improve the spatial resolution of the image. 2011 SPIE.

Notes on convergence of an algebraic multigrid method 期刊论文 OAI收割
Applied Mathematics Letters, 2007, 卷号: 20, 期号: 3, 页码: 335-340
黄朝晖; Shi, P. L.

收藏 | 浏览/下载：58/0 | 提交时间：2014/04/30

algebraic multigrid interpolation operator convergence matrix analysis sparse approximate inverse algorithms amge

Spectral factorization of wavefield and operator in seismic inverse scattering 期刊论文 OAI收割
CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION, 2007, 卷号: 50, 期号: 1, 页码: 240-247
作者: Liu Hong; Yuan Jiang-Hua; Gou Yong-Feng; Zhang Xiang-Jun; Li You-Ming

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收藏 | 浏览/下载：43/0 | 提交时间：2018/09/26

seismic inverse scattering spectral factorization linear prediction operator one-way wave operator reflection/transmission operators multiple attenuation

Spectral factorization of wavefield and operator in seismic inverse scattering 期刊论文 OAI收割
CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION, 2007, 卷号: 50, 期号: 1, 页码: 240-247
作者: Liu Hong; Yuan Jiang-Hua; Gou Yong-Feng; Zhang Xiang-Jun; Li You-Ming

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收藏 | 浏览/下载：32/0 | 提交时间：2018/09/26

seismic inverse scattering spectral factorization linear prediction operator one-way wave operator reflection/transmission operators multiple attenuation

Expansion of step-transition operator of multi-step method and its applications (II) 期刊论文 OAI收割
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2002, 卷号: 20, 期号: 5, 页码: 461-478
作者: Tang, YF

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收藏 | 浏览/下载：36/0 | 提交时间：2018/07/30

step-transition operator expansion composition inverse operator conjugate operator

The far field operator for a multilayered scatterer 期刊论文 OAI收割
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2002, 卷号: 43, 期号: 6-7, 页码: 631-639
作者: Yan, GZ; Zhao, HJ

收藏 | 浏览/下载：27/0 | 提交时间：2015/12/03

scattering problem Helmholtz equation far field operator multilayered scatterer inverse problem