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Noise reduction from Magnetic Resonance images using nonseperable transforms

Nezhadarya, E ; Sharif University of Technology | 2006

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  1. Type of Document: Article
  2. DOI: 10.1117/12.653159
  3. Publisher: 2006
  4. Abstract:
  5. Multi-scale transforms have got a lot of applications in image processing, in recent years. Wavelet transform is a powerful multiscale transform for denoising noisy signals and images, but the usual two-dimensional separable wavelets are sub-optimal. These separable wavelet transforms can successfully identify zero dimensional singularities in images, but can weakly identify one dimensional singularities such as edges, curves and lines. In this sense, non-separable transforms such as Ridgelet and Curvelet transforms are proposed by Candes and Donoho. The coefficients produced by these non-separable transforms have shown to be sparser than wavelet coefficients. This fact results in better denoising capabilities than wavelet transform. These new non-separable transforms can identify direction in lines and curves, because of special structure of their basis elements. Basically, Magnetic Resonance images are probable to have Rician noise. In some special cases, this kind of noise can be supposed to be white Gaussian noise. In this paper, a new method for denoising MR images is proposed. This method is based on Monoscale Ridgelet transform. It is shown that this transform can successfully denoise MR images embedded in white Gaussian noise. The results are better in comparison with usual wavelet denoising methods, based on both visual perception and signal-to-noise ratio
  6. Keywords:
  7. Embedded systems ; Image processing ; Magnetic resonance imaging ; Signal to noise ratio ; Wavelet transforms ; White noise ; Image Denoising ; Multiresolution and wavelets ; Ridgelet Transform ; Noise abatement
  8. Source: Medical Imaging 2006: Image Processing, San Diego, CA, 13 February 2006 through 16 February 2006 ; Volume 6144 III , 2006 ; 16057422 (ISSN); 0819464236 (ISBN); 9780819464231 (ISBN)
  9. URL: https://www.spiedigitallibrary.org/conference-proceedings-of-spie/6144/1/Noise-reduction-from-magnetic-resonance-images-using-nonseperable-transforms/10.1117/12.653159.full?SSO=1