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Application of Tikhonov Regularization to Super-Resolution Reconstruction of Brain MRI Images

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Medical Imaging and Informatics (MIMI 2007)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 4987))

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Abstract

This paper presents an image super-resolution method that enhances spatial resolution of MRI images in the slice-select direction. The algorithm employs Tikhonov regularization, using a standard model of imaging process and reformulating the reconstruction as a regularized minimization task. Our experimental result shows improvements in both signal-to-noise ratio and visual quality.

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References

  1. Greenspan, H., Oz, G., Kiryati, N., Peled, S.: MRI inter-slice reconstruction using super resolution. Magn. Reson. Imaging. 20, 437–446 (2002)

    Article  Google Scholar 

  2. Eyal, C., Siuyan, L., Noga, A., Amos, F., Daniel, F.: Resolution enhancement in MRI. Magn. Reson. Imaging 24, 133–154 (2006)

    Article  Google Scholar 

  3. Lam, E.: Noise in superresolution reconstruction. Optics Letters 28, 2234–2236 (2003)

    Article  Google Scholar 

  4. Irani, M., Peleg, S.: Motion analysis for image enhancement: resolution, occlusion, and transparency. J. Vis. Comm. Image. Rep. 4, 324–335 (1993)

    Article  Google Scholar 

  5. Peled, S., Yeshurun, Y.: Superresolution in MRI: Application to human white matter fiber tract visualization by diffusion tensor imaging. Magn. Reson. Med. 45, 29–35 (2001)

    Article  Google Scholar 

  6. Hsu, J.T., et al.: Application of wavelet-based POCS super-resolution for cardiovascular MRI image enhancement. In: Proc. of ICIG 2004, pp. 524–575 (2004)

    Google Scholar 

  7. Katsaggelos, A.K. (ed.): Digital Image Restoration Sprintger Series in Information Sciences, vol. 23. Springer, Heidelberg (2003)

    Google Scholar 

  8. Banham, M.R., Katsaggelos, A.K.: Digital Image Restoration Sig. Proc. Mag. 14, 24–41 (1997)

    Article  Google Scholar 

  9. Saad, Y.: Iterative methods for sparse linear systems, 1st edn. PWS Publ., Company, Boston, Mass (1996)

    MATH  Google Scholar 

  10. Peeters, R., et al.: The use of super-resolution techniques to reduce slice thickness in functional MRI. Int. J. of. Imag. Sys. Tech. 14, 131–138 (2004)

    Article  Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Electrical and Electronic Engineering, University of Hong Kong, Pokfulam Road, Hong Kong,  

    Xin Zhang, Edmund Y. Lam, Ed X. Wu & Kenneth K. Y. Wong

Authors
  1. Xin Zhang
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  2. Edmund Y. Lam
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  3. Ed X. Wu
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  4. Kenneth K. Y. Wong
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Editor information

Xiaohong Gao Henning Müller Martin J. Loomes Richard Comley Shuqian Luo

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© 2008 Springer-Verlag Berlin Heidelberg

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Zhang, X., Lam, E.Y., Wu, E.X., Wong, K.K.Y. (2008). Application of Tikhonov Regularization to Super-Resolution Reconstruction of Brain MRI Images. In: Gao, X., Müller, H., Loomes, M.J., Comley, R., Luo, S. (eds) Medical Imaging and Informatics. MIMI 2007. Lecture Notes in Computer Science, vol 4987. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-79490-5_8

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  • DOI: https://doi.org/10.1007/978-3-540-79490-5_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-79489-9

  • Online ISBN: 978-3-540-79490-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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