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

Gao, Xu; Wang, Xiaotong; Zhou, Luping; Xu, Xiaogang

doi:10.1049/iet-ipr.2017.0494

Cited by 5 publications

(3 citation statements)

References 28 publications

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“…Another contribution of this paper is that the QCV and QCR of LCT are defined and their relationships and physical interpretation are discovered: the fractional convolution of two quaternion signals is to the summation of product of their components, conjugated or odd-even operated, and the product is frequency modulated by chirps; and the product, frequency modulated by a chirp, of two quaternion signals is to the summation, amplitude modulated, of their pseudo convolution; and the correlation of two quaternion signals is to the summation of convolution of their components, which are conjugated or odd-even operated. The last contribution is that the complexity of QLCT, QCV and QCR are given, and its Fast Algorithm is obtained through implementing them via the product theorem in transformed domain whose complexity is similar to FFT, which is of great importance to engineering use [31] [32].…”

Section: Resultsmentioning

confidence: 99%

See 1 more Smart Citation

The Properties and Fast Algorithm of Quaternion Linear Canonical Transform

Zhang¹,

Gao²

2018

JSIP

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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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Section: Resultsmentioning

confidence: 99%

“…The linear canonical transform (LCT) is a new tool that comes into being in signal processing [1]- [32]. The LCT is the generalization of the FRFT and so on [2] [3] [12].…”

Section: Introductionmentioning

confidence: 99%

The Properties and Fast Algorithm of Quaternion Linear Canonical Transform

Zhang¹,

Gao²

2018

JSIP

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“…The average score is improved by 9.4%. Future work will include more analysis via the tools of image processing [7][8][9][10][11].…”

Section: Discussionmentioning

confidence: 99%

Research on the Novel Class Design in Meteorological Teaching

Gao¹,

Shao²,

Liu³

et al. 2018

Proceedings of the 2018 2nd International Conference on Education, Economics and Management Research (ICEEMR 2018)

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Meteorology is the key course in many specialties in some colleges and universities. In this field, we know that the wind is one of the most important weather elements. In addition, the types, the production mechanism and features of wind are very important for the sailors on the sea in the aspect of navigation safety. This paper proposes a novel class design in meteorological teaching for studying the wind in the aspects of the production of wind, the types of wind, the features of different winds and the applications as well. The novel design is defined as follows: the study is introduced by the real-world question so that the students will pay more attention in classes, then a framework is given so that all the content belongs to a whole body and the students will have more interests in the study. Finally, experiments are given to show our novel class design's efficiency.

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Generalized amplitude-phase demodulation for isotropic image decomposition and analysis

Gao

Wang

2022

Digital Signal Processing

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

Cited by 5 publications

References 28 publications

The Properties and Fast Algorithm of Quaternion Linear Canonical Transform

The Properties and Fast Algorithm of Quaternion Linear Canonical Transform

Research on the Novel Class Design in Meteorological Teaching

Generalized amplitude-phase demodulation for isotropic image decomposition and analysis

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