Wavelet Transform Domain Filters: A Spatially Selective Noise Filtration Technique

IEEE Transactions on Image Processing

Volumn 3, Issue 6, 1994, Pages 747-758

  Xu, Yansun ^a   Weaver, John B ^a   Healy, Dennis M ^b   Lu, Jian ^c  

^a DARTMOUTH HITCHCOCK MEDICAL CENTER   (United States)

^b DARTMOUTH COLLEGE   (United States)

^c DARTMOUTH COLLEGE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EDGE DETECTION; IMAGE QUALITY; INTERFERENCE SUPPRESSION; OPTICAL CORRELATION; SIGNAL FILTERING AND PREDICTION; SIGNAL TO NOISE RATIO; WAVE FILTERS; WAVELET TRANSFORMS;

GIBBS' RINGING; MOTION ARTIFACT REMOVAL; SPATIALLY DEPENDENT NOISE FILTRATION;

IMAGE PROCESSING;

EID: 0028546845     PISSN: 10577149     EISSN: 19410042     Source Type: Journal    
DOI: 10.1109/83.336245     Document Type: Article

References (16)

1. E. R. McVeigh, R. M. Henkelman, and M. J. Bronskill, “Noise and filtration in magnetic resonance imaging,” Med. Phys., vol. 12, no. 5, pp. 586–591, 1985.
2. H. Hart and Z. Liang, “Bayesian image processing in two dimensions,” IEEE Trans. Med. Imaging, vol. 6, pp. 201–208, 1988.
3. X. Hu, V. Johnson, W. H. Wong, and C.-T. Chen, “Bayesian image processing in magnetic resonance imaging,” Magn. Reson. Imaging, vol. 9, pp. 611–620, 1991.
4. J. B. Weaver, Y. Xu, D. M. Healy, Jr., and L. D. Cromwell, “Filtering noise from images with wavelet transforms,” Magn. Reson. Med. vol. 21, no. 2, pp. 288–295, 1991.
5. Y. Xu, J. Lu, D. M. Healy, Jr., and J. B. Weaver, “Filtering MR images with wavelet transforms,” in Proc. 10th Ann. Mtg. SMRM (San Francisco), Aug. 1991, p. 199.
6. J. Lu, Y. Xu, J. B. Weaver, and D. M. Healy, Jr., “Noise reduction by constrained reconstructions in the wavelet transform domain,” in Proc. 7th IEEE SPS MDSP Workshop (Lake Placid, NY), Sept. 1991, p. 1.9
7. I. Daubechies, “Orthonormal bases of compactly supported wavelets,” Commun. Pure Appl. Math., vol. 41, pp. 909–996, Nov. 1988.
8. S. G. Mallat, “A theory for multiresolution signal decomposition: The wavelet representation,” IEEE Trans. Patt. Anal. Machine Intell., vol. 11, no. 7, pp. 674–693, July 1989.
9. S. G. Mallat and S. Zhong, “Complete signal representation with multiscale edges,” NYU Tech. Rep. No. 483, Dec. 1989.
10. A. Witkin, “Scale space filtering,” in Proc. 8th Int. Joint Conf. Artificial Intell., 1983.
11. S. Mallat and W. L. Hwang, “Singularity detection and processing with wavelets,” IEEE Trans. Inform. Theory, vol. 38, no. 2, pp. 617–643, Mar. 1992.
12. A. Rosenfeld, “A nonlinear edge detection technique,” Proc. IEEE (Lett.), vol. 58, pp. 814–816, May 1970.
13. A. Rosenfeld and M. Thurston, “Edge and curve detection for visual scene analysis,” IEEE Trans. Comput., vol. C-20, no. 5, pp. 562–569, May 1971.
14. F. M. Wahl, Digital Image Processing. Norwood, MA: Artech House, 1987.
15. J. S. Lim, Two-Dimension Signal and Image Processing. Englewood Cliffs, NJ: Prentice Hall, 1990.
16. J. Lu, “Parallel computation of 2-D wavelet transforms for image processing and computer vision,” in Proc. 7th IEEE SPS MDSP Workshop (Lake Placid, NY), Sept. 1991, p. 10.5