2011
DOI: 10.1007/s11432-011-4330-8
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Perfect reconstruction image modulation based on BEMD and quaternionic analytic signals

Abstract: Image modulation represents image by meaningful characters such as image instantaneous amplitude and instantaneous frequency. A perfect reconstruction image modulation method is proposed. In detail, the bidimensional empirical mode decomposition (BEMD) is first improved to adaptively decompose image into monocomponents. Then by the quaternionic analytic method, suitable analytic signals is acquired. A new polar form is further proposed to modulate images, then seven characters are derived including instantaneo… Show more

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Cited by 15 publications
(4 citation statements)
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References 22 publications
(27 reference statements)
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“…In addition, Nunes et al [32], [33] have Introduced EMD in image processing (twodimensional signal) and they have developed the algorithm for two-dimensional decomposition in empirical mode (BEMD). This algorithm has caught the attention of several researchers and has been applied in image denoising [34], image compression [35], [36], image segmentation [37], [38], scaling the image [39], extraction of image characteristics [40], texture synthesis [41], and classification of image texture [42]. There are many methods of decomposition signals and images (DCT, Wavelets, Fourier, etc.)…”
Section: Bi-dimensional Emperical Mode Decompositionmentioning
confidence: 99%
“…In addition, Nunes et al [32], [33] have Introduced EMD in image processing (twodimensional signal) and they have developed the algorithm for two-dimensional decomposition in empirical mode (BEMD). This algorithm has caught the attention of several researchers and has been applied in image denoising [34], image compression [35], [36], image segmentation [37], [38], scaling the image [39], extraction of image characteristics [40], texture synthesis [41], and classification of image texture [42]. There are many methods of decomposition signals and images (DCT, Wavelets, Fourier, etc.)…”
Section: Bi-dimensional Emperical Mode Decompositionmentioning
confidence: 99%
“…It decomposes the input signal into multiple scales, which represent different time-frequency components of the original signal [34]. Compared with the other time-frequency signal processing methods such as short-time Fourier transform and wavelet transform, the EMD method does not rely on any priori basic functions and leads to an adaptive decomposition process by its own characteristics of the data, which should be better at revealing signal features involved in the time-frequency localization behaviour [8][9][10][11]20]. As an adaptive signal denoise and analysis technology, the EMD has been applied in the study of earthquake, mechanical fault diagnosis, oceanography and other fields.…”
Section: Introductionmentioning
confidence: 99%
“…About ten years ago, Nunes et al [22,23] introduced the EMD into image processing and proposed the algorithm of bidimensional empirical mode decomposition (BEMD). Soon afterward, this algorithm received attention from some researchers and was put into image compression [24,25], image texture classification [26], image denoising [27], image texture segmentation [28,29], image scaling [30], texture synthesis [31], and image feature extraction [32]. Due to the noise characteristics of practical images, it is generally likely that the highest noise content of an image is extracted into the first mode component for the natural property of the BEMD process, and the remaining fewer noise contents sneak into the subsequent ones.…”
Section: Introductionmentioning
confidence: 99%