2003
DOI: 10.1007/978-3-540-39903-2_5
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De-noising SPECT/PET Images Using Cross-Scale Regularization

Abstract: Abstract. De-noising of SPECT and PET images is a challenging task due to the inherent low signal-to-noise ratio of acquired data. Wavelet based multiscale denoising methods typically apply thresholding operators on sub-band coefficients to eliminate noise components in spatial-frequency space prior to reconstruction. In the case of high noise levels, detailed scales of sub-band images are usually dominated by noise which cannot be easily removed using traditional thresholding schemes. To address this issue, a… Show more

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Cited by 8 publications
(9 citation statements)
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“…Indeed detailed levels of wavelet sub-band images display high-energy coefficients for both edge features and noise components. A cross-scale regularization scheme was used to guide the threshold level selection from one expansion level to the previous as detailed in [1]. This regularization scheme, which brings spatial adaptivity to the thresholding operator, was motivated by the idea that meaningful signal features show persistent higher levels of coherence across wavelet expansion scales when compared to random noise.…”
Section: Denoising Via Thresholdingmentioning
confidence: 99%
See 1 more Smart Citation
“…Indeed detailed levels of wavelet sub-band images display high-energy coefficients for both edge features and noise components. A cross-scale regularization scheme was used to guide the threshold level selection from one expansion level to the previous as detailed in [1]. This regularization scheme, which brings spatial adaptivity to the thresholding operator, was motivated by the idea that meaningful signal features show persistent higher levels of coherence across wavelet expansion scales when compared to random noise.…”
Section: Denoising Via Thresholdingmentioning
confidence: 99%
“…In the case of high noise levels, detailed scales of sub-band images are usually dominated by noisy components that are not well handled using traditional thresholding schemes. To address this issue, a cross-scale regularization scheme was introduced in [1], which takes into account across scale coherence of structured signals in wavelet coefficient subbands. Preliminary results showed promising performance in denoising clinical SPECT and PET images for liver and brain studies.…”
Section: Introductionmentioning
confidence: 99%
“…Therefore a more sophisticated "thresholding" scheme was applied (e.g. cross-scale regularization [14]). 2.…”
Section: B Multi-scale Adaptive Thresholdingmentioning
confidence: 99%
“…To recover signal related features in noise dominated wavelet sub-bands, a cross-scale regularization was suggested [14]. First, an edge indication map was constructed using the next higher level of wavelet subbands.…”
Section: Cross-scale Regularizationmentioning
confidence: 99%
“…Jw[k) estimates (and the resulting adaptive thresholds based on these) are determined using denoised coefficients, which axe found to be more reliable.Most recent work by Jin et al uses a refinement called cross-scale regularization (CSR) which increases noise suppression, particularly at the finest scale of decom position[26,27]. Typically, these subbands contain overwhelming am ounts of noise (indeed, this is why these subbands are used for noise level estim ation).…”
mentioning
confidence: 99%