Intelligent Systems and Control / 742: Computational Bioscience 2011
DOI: 10.2316/p.2011.741-010
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Three-Dimensional Wavelet Transform in Multi-Dimensional Biomedical Volume Processing

Abstract: Object detection and recognition is a common problem related to fault diagnosis in engineering or analysis of changes in biomedical data observations. As such data are often contaminated by noise it is necessary to reduce its effect during this process as well. The paper presents the application of wavelet transform to perform these task using the three dimensional wavelet decomposition, coefficients thresholding and object reconstruction. The proposed method is verified for simulated data at first and then ap… Show more

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Cited by 19 publications
(17 citation statements)
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References 25 publications
(27 reference statements)
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“…where 1 ffiffi ffi A p is normalizing factor, P is the decomposition level, ψ p, a (x) are detailed or wavelet coefficients and τ P, a (x) are averaging or scaling coefficients are discrete functions in and where a ¼ f 0; 1; 2; …; A 2 p −1g [44]. The scaling and detailed coefficients are computed as:…”
Section: D-discrete Wavelet Transformmentioning
confidence: 99%
See 1 more Smart Citation
“…where 1 ffiffi ffi A p is normalizing factor, P is the decomposition level, ψ p, a (x) are detailed or wavelet coefficients and τ P, a (x) are averaging or scaling coefficients are discrete functions in and where a ¼ f 0; 1; 2; …; A 2 p −1g [44]. The scaling and detailed coefficients are computed as:…”
Section: D-discrete Wavelet Transformmentioning
confidence: 99%
“…1D DWT can be extended to 3D DWT for 3D brain volumes. In 3D DWT [44], we have one 3D approximate coefficient (scaling function) τ(a, b, c) and seven 3D detailed coefficients ψ i (l, m, n), where i ∈ {1, 2, …, 7}. The function τ(a, b, c) in 3-D, is the product of τ(a), τ(b) and τ(c).…”
Section: D-discrete Wavelet Transformmentioning
confidence: 99%
“…For instance, X LHL is obtained after applying a low-pass filter along the x-dimension, a high-pass filter along the y-dimension and a low-pass filter along the z-dimension. The remaining images are built in a similar way, applying their respective sequence of low or high-pass filters in x, y and z-direction 41 . Concerning the LoG, five filters with different sigma values were applied (sigma=1.0 mm, 2.0 mm, 3.0 mm, 4.0 mm, 5.0 mm), with the intention of improving texture analysis by detection of multi-scale edges and ridges 42 .…”
Section: /10mentioning
confidence: 99%
“…In the same way, the approximation and detail subbands are further convolved in y dimension and z dimension, respectively, with both the lowpass and high-pass filters. As a result, eight subbands: LLL, LLH, LHL, HLL, LHH, HLH, HHL and HHH [21] are obtained, where L indicates low-pass-filtered subband and H indicates high-pass-filtered subband. Level 2 decomposition is achieved by considering the LLL subband as the main image and decomposing with the same process as above.…”
Section: Feature Extractionmentioning
confidence: 99%
“…Performing scaling and shifting on initial wavelet and convolving it with the original image is a part of wavelet decomposition. It has the property to reconstruct the original image without loss of information [21]. Wavelet-based texture segmentation is compared with simple single resolution texture spectrum, co-occurrences and local linear transforms on Brodatz dataset, where wavelet-based texture segmentation performed better than other approaches [22].…”
Section: Feature Extractionmentioning
confidence: 99%