Neighborhood Limited Empirical Mode Decomposition and Application in Image Processing

Yi, Fan; Cai-xia, Liu; Bingsen, Zhang; Pan, Zhenkuan

doi:10.1109/icig.2007.50

Cited by 20 publications

(13 citation statements)

References 22 publications

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“…However, in this case, they perform in a similar manner. Thus, here we only compare with one of them [2,[10][11][12][13][14][15][16][17][18][19][20][21][22][23]. Clearly, the results obtained by our method have more rational physical sense than that of the BEMD (see Fig.…”

Section: On Texture Analysismentioning

confidence: 99%

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Image decomposition and texture analysis via combined bi‐dimensional Bedrosian's principles

Gao

Wang

Zhou

et al. 2018

IET Image Processing

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Section: On Texture Analysismentioning

confidence: 99%

“…Moreover, if the amplitude ratio and frequency ratio are limited to some scope, the performance of BEMD will be worse [2] as well. This is still an open question for BEMD [2,[10][11][12][13][14][15][16][17][18][19][20][21][22][23] to our knowledge in image decomposition. There have been no reported works that have involved these problems.…”

Section: Introductionmentioning

confidence: 99%

Image decomposition and texture analysis via combined bi‐dimensional Bedrosian's principles

Gao

Wang

Zhou

et al. 2018

IET Image Processing

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“…For example, grey image [30] can be taken as scalar, and the analytic signal after Hilbert transformation [12] [13] [14] [15] [16] [29] is complex signal. The color image can be taken as one vector [17] [18], a quaternion number whose real part is zero. In [19], the transform, convolution and correlation have been addressed in fractional Fourier transform (FRFT) domain.…”

Section: Introductionmentioning

confidence: 99%

The Properties and Fast Algorithm of Quaternion Linear Canonical Transform

Zhang¹,

Gao²

2018

JSIP

Self Cite

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The quaternion linear canonical transform (QLCT) is defined in this paper, with proofs given for its reversibility property, its linear property, its odd-even invariant property and additivity property. Meanwhile, the quaternion convolution (QCV), quaternion correlation (QCR) and product theorem of LCT are deduced. Their physical interpretation is given as classical convolution, correlation and product theorem. Moreover, the fast algorithm of QLCT (FQLCT) is obtained, whose calculation complexity for different signals is similar to FFT. In addition, the paper presents the relationship between the convolution and correlation in LCT domains, and the convolution and correlation can be calculated via product theorem in Fourier transform domain using FFT.

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“…However, this method fails to smooth the images with high contrast unchanged despite its multiple advantages. There are some other methods involving the image decomposition such as [8][9][10][11][12][13]. However, they focused on the separation of textures and main structures rather than multi-scale.…”

Section: Introduction (Heading 1)mentioning

confidence: 99%

Multi-scale decomposition for remote sensing image processing

Zhou¹,

Qian²,

Gao

2011

2011 International Conference on Consumer Electronics, Communications and Networks (CECNet)

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Based on image gradients, an alternative image multi-scale decomposition approach for remote sensing image processing is derived through solving a Poisson equation in this paper. First, the image gradients are obtained. Second, the gradients with given magnitudes are attenuated using some operators. Finally, the modified gradients are used to solve a Poisson equation to obtain the smooth base layer and thus the detail layer. This multiscale decomposition approach is used for remote sensing image enhancement and remote sensing image smoothing, which outperforms the other methods such as bilateral filter (BLF) and weighted least squares based multi-scale decomposition (WLSMD) in edge-preserving image decomposition via experiments.

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Neighborhood Limited Empirical Mode Decomposition and Application in Image Processing

Cited by 20 publications

References 22 publications

Image decomposition and texture analysis via combined bi‐dimensional Bedrosian's principles

Image decomposition and texture analysis via combined bi‐dimensional Bedrosian's principles

The Properties and Fast Algorithm of Quaternion Linear Canonical Transform

Multi-scale decomposition for remote sensing image processing

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