Skip to main content
Top

2019 | OriginalPaper | Chapter

DTI Image Denoising Based on Complex Shearlet Domain and Complex Diffusion Anisotropic Filtering

Authors : Shuaiqi Liu, Pengfei Li, Ming Liu, Qi Hu, Mingzhu Shi, Jie Zhao

Published in: Communications, Signal Processing, and Systems

Publisher: Springer Singapore

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Diffusion tensor imaging (DTI) is an imaging modality that has developed in recent years. It is a non-invasive technique and needn’t contrast medium. However, the SNR of DTI data is relatively low and clinically polluted by noise, which can bring serious impacts on tensor calculating, fiber tracking and other post-processing. In order to reduce the influence of noise on DTI images and improve the efficiency of diffusion tensor imaging effectively, a new DTI denoising scheme is proposed by combining the complex Shearlet transform and complex diffusion anisotropic filtering. The experiment results acquired from the simulated and real data prove the good performance of the presented algorithm.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference Nowak, R.D.: Wavelet-based Rician noise removal for magnetic resonance imaging. IEEE Trans. Image Process. 8(10), 1408–1419 (1999) Nowak, R.D.: Wavelet-based Rician noise removal for magnetic resonance imaging. IEEE Trans. Image Process. 8(10), 1408–1419 (1999)
2.
go back to reference Saurav, B., Thomas, F., Ross, W.: Rician noise removal in diffusion tensor MRI. In: MICCAI 2006, pp. 117–125. Springer (2006) Saurav, B., Thomas, F., Ross, W.: Rician noise removal in diffusion tensor MRI. In: MICCAI 2006, pp. 117–125. Springer (2006)
3.
go back to reference Xu, Q., Anderson, A.W., Gore, J.C., Ding, Z.H.: Diffusion tensor image smoothing using efficient and effective anisotropic filtering. In: IEEE International Conference on Computer Vision, pp. 134–145. IEEE Press (2007) Xu, Q., Anderson, A.W., Gore, J.C., Ding, Z.H.: Diffusion tensor image smoothing using efficient and effective anisotropic filtering. In: IEEE International Conference on Computer Vision, pp. 134–145. IEEE Press (2007)
4.
go back to reference Zhang, X.F., Zhang, H.M., Tian, W.F.: Restoring DTI images based on complex diffusion process and fiber tracking. Jisuanji Yingyong Yu Ruanjian 26(6), 13–14 (2009) Zhang, X.F., Zhang, H.M., Tian, W.F.: Restoring DTI images based on complex diffusion process and fiber tracking. Jisuanji Yingyong Yu Ruanjian 26(6), 13–14 (2009)
5.
go back to reference Liu, F., Ruan, X.E.: Wavelet-based diffusion approaches for signal denoising. Sig. Process. 87(5), 1138–1146 (2007) Liu, F., Ruan, X.E.: Wavelet-based diffusion approaches for signal denoising. Sig. Process. 87(5), 1138–1146 (2007)
6.
go back to reference Chan, T.F., Zhou, H.M.: Total variation wavelet thresholding. J. Sci. Comput. 32(2), 315–341 (2007) Chan, T.F., Zhou, H.M.: Total variation wavelet thresholding. J. Sci. Comput. 32(2), 315–341 (2007)
7.
go back to reference Do, M.N., Vetterli, M.: Contourlets: a directional multiresolution image representation. In: IEEE International Conference on Image Processing, pp. 357–360. IEEE Press (2002) Do, M.N., Vetterli, M.: Contourlets: a directional multiresolution image representation. In: IEEE International Conference on Image Processing, pp. 357–360. IEEE Press (2002)
8.
go back to reference Guo, K.H., Labate, D.: Optimally sparse multidimensional representation using shearlets. SIAM J. Math. Anal. 39(1), 298–318 (2007) Guo, K.H., Labate, D.: Optimally sparse multidimensional representation using shearlets. SIAM J. Math. Anal. 39(1), 298–318 (2007)
9.
go back to reference Liu, S.Q., Hu, S.H., Xiao, Y.: Image separation using wavelet-complex shearlet dictionary. J. Syst. Eng. Electron. 25(2), 314–321 (2014) Liu, S.Q., Hu, S.H., Xiao, Y.: Image separation using wavelet-complex shearlet dictionary. J. Syst. Eng. Electron. 25(2), 314–321 (2014)
10.
go back to reference Zhang, X., Lu, B.L., Ma, Y., et al.: Denoising diffusion tensor images with shearlet. In: International Conference on Signal Processing, pp. 962–965. IEEE Press (2012) Zhang, X., Lu, B.L., Ma, Y., et al.: Denoising diffusion tensor images with shearlet. In: International Conference on Signal Processing, pp. 962–965. IEEE Press (2012)
11.
go back to reference Zhang, X., Liu, X., Ma, Y.: A new DTI image denoising method based on shearlet shrinkage and complex diffusion. In: International Congress on Image and Signal Processing, pp. 229–233. IEEE Press (2014) Zhang, X., Liu, X., Ma, Y.: A new DTI image denoising method based on shearlet shrinkage and complex diffusion. In: International Congress on Image and Signal Processing, pp. 229–233. IEEE Press (2014)
12.
go back to reference Perona, P., Malik, J.: Scale-space and edge detection using anisotropic diffusion. IEEE Trans. Pattern Anal. Mach. Intell. 12(7), 629–639 (1990) Perona, P., Malik, J.: Scale-space and edge detection using anisotropic diffusion. IEEE Trans. Pattern Anal. Mach. Intell. 12(7), 629–639 (1990)
13.
go back to reference Gilboa, G., Sochen, N., Zeevi, Y.Y.: Forward-and-backward diffusion processes for adaptive image enhancement and denoising. IEEE Trans. Image Process. 11, 689–703 (2002) Gilboa, G., Sochen, N., Zeevi, Y.Y.: Forward-and-backward diffusion processes for adaptive image enhancement and denoising. IEEE Trans. Image Process. 11, 689–703 (2002)
14.
go back to reference Kai, K., Menzel, M.I., Scharr, H.: A Riemannian Bayesian framework for estimating diffusion tensor images. Int. J. Comput. Vis. 120, 1–28 (2016) Kai, K., Menzel, M.I., Scharr, H.: A Riemannian Bayesian framework for estimating diffusion tensor images. Int. J. Comput. Vis. 120, 1–28 (2016)
Metadata
Title
DTI Image Denoising Based on Complex Shearlet Domain and Complex Diffusion Anisotropic Filtering
Authors
Shuaiqi Liu
Pengfei Li
Ming Liu
Qi Hu
Mingzhu Shi
Jie Zhao
Copyright Year
2019
Publisher
Springer Singapore
DOI
https://doi.org/10.1007/978-981-10-6571-2_86