Multiresolution moment filters: Theory and applications

IEEE Transactions on Image Processing

Volumn 13, Issue 4, 2004, Pages 484-495

  Sühling, Michael ^a   Arigovindan, Muthuvel ^a   Hunziker, Patrick ^b   Unser, Michael ^a  

^a EPFL   (Switzerland)

^b UNIVERSITY HOSPITAL BASEL   (Switzerland)

Author keywords

Local moments; Multiresolution; Optical flow; Savitzky Golay; Weighted least squares

Indexed keywords

ALGORITHMS; FEATURE EXTRACTION; IMAGE RECONSTRUCTION; IMAGE SEGMENTATION; LEAST SQUARES APPROXIMATIONS; PATTERN RECOGNITION; WAVELET TRANSFORMS;

MULTIRESOLUTION MOMENT FILTERS; MULTISCALE OPTICAL FLOW ALGORITHM; SAVITZKY-GOLAY FILTERING;

IMAGE ANALYSIS;

DNA;

ALGORITHM; ARTICLE; AUTOMATED PATTERN RECOGNITION; COMPARATIVE STUDY; COMPUTER ASSISTED DIAGNOSIS; COMPUTER SIMULATION; CRYOELECTRON MICROSCOPY; EVALUATION; IMAGE ENHANCEMENT; INFORMATION RETRIEVAL; METHODOLOGY; REGRESSION ANALYSIS; REPRODUCIBILITY; SENSITIVITY AND SPECIFICITY; SIGNAL PROCESSING; STATISTICAL MODEL; ULTRASTRUCTURE; VALIDATION STUDY;

ALGORITHMS; COMPUTER SIMULATION; CRYOELECTRON MICROSCOPY; DNA; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; INFORMATION STORAGE AND RETRIEVAL; LEAST-SQUARES ANALYSIS; MODELS, STATISTICAL; PATTERN RECOGNITION, AUTOMATED; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY; SIGNAL PROCESSING, COMPUTER-ASSISTED;

EID: 4844229516     PISSN: 10577149     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIP.2003.819859     Document Type: Article

References (29)

1. M.-K. Hu, "Visual pattern recognition by moment invariants," IRE Trans. Inform. Theory, pp. 179-187, Feb. 1962.
2. C. Teh and R. Chin, "On image analysis by the methods of moments," IEEE Trans. Pattern Anal. Machine Intell., vol. 10, pp. 496-513, July 1988.
3. S. Dudani, K. Breeding, and R. McGhee, "Aircraft identification by moment invariants," IEEE Trans. Comput., vol. 26, pp. 39-46, Jan. 1977.
4. Y. Abu-Mostafa and D. Psaltis, "Recognitive aspects of moment invariants," IEEE Trans. Pattern Anal. Machine Intell., vol. PAMI-6, pp. 698-716, Nov. 1984.
5. M. Teague, "Image analysis via the general theory of moments," J. Opt. Soc. Amer., vol. 70, pp. 920-930, Aug. 1980.
6. S. Liao and M. Pawlak, "On image analysis by moments," IEEE Trans. Pattern Anal. Machine Intell. vol. 18, pp. 254-266, Mar. 1996.
7. A. Khotanzad and Y. Hong, "Invariant image recognition by zernike moments," IEEE Trans. Pattern Anal. Machine Intell., vol. 12, pp. 489-497, May 1990.
8. A. Bhatia and E. Wolf, "On the circle polynomials of zernike and related orthogonal sets," in Proc. Cambridge Philosophical Society, vol. 50, 1954, pp. 40-48.
9. T. Reiss, "Recognizing planar objects using invariant image features," in Lecture Notes In Computer Science. Berlin, Germany: Springer, 1993, vol. 676.
10. B. Li and J. Shen, "Fast calculation of local moments and application to range segmentation," in Proc. Int. Conf. Pattern Recognition, vol. C, 1992, pp. 298-301.
11. M. Tuceryan, "Moment-based texture segmentation," Pattern Recognit. Lett., vol. 15, pp. 659-668, July 1994.
12. Q. Gao and F. Yin, "Two-dimensional direction-based interpolation with local centered moments," Graph. Models Image Process., vol. 61, no. 6, pp. 323-339, Nov. 1999.
13. J. Martinez and F. Thomas, "Efficient computation of local geometric moments," IEEE Trans. Image Processing, vol. 11, pp. 1102-1111, Sept. 2000.
14. S. Mallat, "A theory for multiresolution signal decomposition: the wavelet representation," IEEE Trans. Pattern Anal. Machine Intell., vol. 11, pp. 674-693, July 1989.
15. J.-W. Lin, A. Laine, and S. Bergmann, "Improving PET-based physiological quantification through methods of wavelet denoising," IEEE Trans. Biomed. Eng., vol. 48, pp. 202-212, Feb. 2001.
16. R. Nowak, "Wavelet-based Rician noise removal for magnetic resonance imaging," IEEE Trans. Image Processing, vol. 8, pp. 1408-1419, Oct. 1999.
17. A. Laine, S. Schuler, J. Fan, and W. Huda, "Mammographic feature enhancement by multiscale analysis," IEEE Trans. Med. Imag., vol. 13, pp. 725-740, Dec. 1994.
18. J.-P. Antoine, D. Barache, R. Cesar Jr., and L. da F. Costa, "Multiscale shape analysis using the continuous wavelet transform," in Proc. IEEE Int. Conf. Image Processing (ICPIP'96), vol. I, Lausanne, Switzerland, Sept. 16-19, 1996, pp. 291-294.
19. A. Savitzky and M. Golay, "Smoothing and differentiation of data by simplified least squares procedures," Analyt. Chem., vol. 36, no. 8, pp. 1627-1639, 1964.
20. B. Lucas and T. Kanade, "An iterative image restoration technique with an application to stereo vision," in Proc. DARPA IU Workshop, 1981, pp. 121-130.
21. M. Shensa, "The discrete wavelet transform: Wedding the à trous and Mallat algorithms," IEEE Trans. Signal Processing, vol. 40, pp. 2464-2482, Oct. 1992.
22. M. Unser, "Splines: a perfect fit for signal and image processing," IEEE Signal Processing Mag., vol. 16, pp. 22-38, Nov. 1999.
23. M. Unser and T. Blu, "Wavelet theory demystified," IEEE Trans. Signal Processing, vol. 51, pp. 470-483, Feb. 2003.
24. J. Dubochet, M. Adrian, J. Chang, J. Homo, J. Lepault, A. McDowall and P. Schultz, "Cryo-electron microscopy of vitrified specimens," Quarterly Rev. Biophys., vol. 21, no. 2, pp. 129-228, 1988.
25. J. Bigün, G. Granlund, and J. Wiklund, "Multidimensional orientation estimation with applications to texture analysis and optical flow," IEEE Trans. Pattern Anal. Machine Intell., vol. 13, pp. 775-790, Aug. 1991.
26. T. Blu and M. Unser, "The fractional spline wavelet transform: definition and implementation," in Proc. 25th IEEE Int. Conf. Acoustics, Speech, and Signal Processing (ICASSP'00), vol. I, Istanbul, Turkey, June 5-9, 2000, pp. 512-515.
27. J. S. Lim, Two-Dimensional Signal and Image Processing. Englewood Cliffs, NJ: Prentice-Hall, 1990, pp. 536-540.
28. J. Barron, D. Fleet, S. Beauchemin, and T. Burkitt, "Performance of optical flow techniques," Intl. J. Comput. Vis., vol. 12, pp. 43-77, 1994.
29. B. Horn and B. Schunk, "Determining optical flow," Artific. Intell., vol. 17, pp. 185-203, 1981.