2008
DOI: 10.1117/12.782786
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A comparison of wavelet analysis techniques in digital holograms

Abstract: This study explores the effectiveness of wavelet analysis techniques on digital holograms of real-world 3D objects. Stationary and discrete wavelet transform techniques have been applied for noise reduction and compared. Noise is a common problem in image analysis and successful reduction of noise without degradation of content is difficult to achieve. These wavelet transform denoising techniques are contrasted with traditional noise reduction techniques; mean filtering, median filtering, Fourier filtering. Th… Show more

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Cited by 5 publications
(3 citation statements)
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References 29 publications
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“…Here we present results of a comparison between the best performing filter from this paper, the 2D filter and other standard speckle reduction techniques including the mean and median filters, the discrete Fourier filter (DFF) [41] and the best performing wavelet from a previous paper of ours [42]. Table 5 provides a comprehensive set of results and reveals that 2D filtering has outperformed the other techniques, achieving a similar level of speckle reduction but maintaining a higher resolution.…”
Section: Comparison With Other Techniquesmentioning
confidence: 91%
“…Here we present results of a comparison between the best performing filter from this paper, the 2D filter and other standard speckle reduction techniques including the mean and median filters, the discrete Fourier filter (DFF) [41] and the best performing wavelet from a previous paper of ours [42]. Table 5 provides a comprehensive set of results and reveals that 2D filtering has outperformed the other techniques, achieving a similar level of speckle reduction but maintaining a higher resolution.…”
Section: Comparison With Other Techniquesmentioning
confidence: 91%
“…Few studies comparing the performance of speckle filters have been published so far. Wavelet-based techniques were assessed by K. M. Molony et al [4] in a study that addressed the behavior of stationary wavelet transforms and discrete wavelet transforms, with soft and hard thresholding, in terms of speckle suppression effectiveness and edge preservation capability. After testing 51 wavelets on phase-shifting and off-axis digital holograms, they found the best results for the Haar mother wavelet with soft thresholding at decomposition level 5, outperforming more traditional approaches such as mean filtering, median filtering, and Fourier filtering.…”
Section: Introductionmentioning
confidence: 99%
“…In this case the final resolution is only one quarter that of the system. We also investigated wavelet filtering [6] on the reconstructed intensity. This method is the fastest and shows results that are at least as good as the other techniques but again there is a reduction in the resolution of the final image.…”
mentioning
confidence: 99%