2009
DOI: 10.1007/s11760-009-0109-4
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Microarray image enhancement by denoising using decimated and undecimated multiwavelet transforms

Abstract: In this paper, we present a new approach to deal with the noise inherent in the microarray image processing procedure. We use the denoising capabilities of decimated and undecimated multiwavelet transforms, DMWT and UMWT respectively, for the removal of noise from microarray data. Multiwavelet transforms, with appropriate initialization, provide sparser representation of signals than wavelet transforms so that their difference from noise can be clearly identified. Also, the redundancy of the UMWT transform is … Show more

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Cited by 24 publications
(14 citation statements)
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References 38 publications
(36 reference statements)
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“…Due to being constructed from translations and dilations of multi-scaling and multiwavelet vector function, multiwavelet can seize the vital signal processing properties of symmetry, orthogonality, compact support and higher order of vanishing moments simultaneously [21], which is proved to be impossible for scalar wavelet except Haar wavelet. Moreover, the analyzed signal would be one input stream usually and so some kind of pre-processing should be done before the implementation of multiwavelet transform.…”
Section: Industrial Personal Computermentioning
confidence: 99%
See 1 more Smart Citation
“…Due to being constructed from translations and dilations of multi-scaling and multiwavelet vector function, multiwavelet can seize the vital signal processing properties of symmetry, orthogonality, compact support and higher order of vanishing moments simultaneously [21], which is proved to be impossible for scalar wavelet except Haar wavelet. Moreover, the analyzed signal would be one input stream usually and so some kind of pre-processing should be done before the implementation of multiwavelet transform.…”
Section: Industrial Personal Computermentioning
confidence: 99%
“…Multiwavelet transform as the newer development of the wavelet transform theory was firstly proposed by Geronimo et al [20]. Multiwavelet not only realizes multi-resolution analysis but also simultaneously possesses important properties such as symmetry, orthogonality, compact support and higher order of vanishing moments that traditional scalar wavelet does not have [21]. Because it possesses multiple wavelet basis functions, multiwavelet does well in extracting features with multiple kinds of shape for condition feature extraction.…”
mentioning
confidence: 99%
“…Tian et al [65] proposed a nonparametric model to formulate the marginal distribution of wavelet coefficients in an adaptive manner and integrated it into a Bayesian inference framework to drive a maximum a posterior estimation based image denoising method with improved performance [65]. Zifan et al [66] used the mutliwavelet denoising methods to denoise microarray images and found that the results significantly outperformed wavelet and Wiener filter based methods [66].…”
Section: Multivariate Wavelet Denoising Algorithmmentioning
confidence: 99%
“…In 2007, Chen and Duan presented a simple method for denoising microarray images [10] based on comparing the edge features of the red and green channels. Recently, in 2010, Zifan et al have designed multiwavelet transformations [11] to denoise images.…”
Section: Denoisingmentioning
confidence: 99%