OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 17, Iss. 7 — Jul. 1, 2000
  • pp: 1160–1171

Multiresolution spot detection by means of entropy thresholding

Giuseppe Boccignone, Angelo Chianese, and Antonio Picariello  »View Author Affiliations


JOSA A, Vol. 17, Issue 7, pp. 1160-1171 (2000)
http://dx.doi.org/10.1364/JOSAA.17.001160


View Full Text Article

Enhanced HTML    Acrobat PDF (323 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Many imaging applications deal with the detection of small targets or spots embedded within an inhomogeneous background. We present a method that accomplishes a multiresolution detection on the wavelet-transformed image. The targets are separated from the background by the exploitation of Renyi’s information, which is evaluated at the different decomposition levels of the wavelet transform. The scale-dependent candidate detections are successively combined by means of majority voting for final detection. Connections with results provided in different fields such as multifractal analysis, generalized information measures in scale-space, and cross-entropy analysis in fine-to-coarse transformations are discussed. Detection performance is investigated through an example from medical image analysis.

© 2000 Optical Society of America

OCIS Codes
(100.0100) Image processing : Image processing
(100.2000) Image processing : Digital image processing
(100.2960) Image processing : Image analysis
(100.7410) Image processing : Wavelets

History
Original Manuscript: May 6, 1999
Revised Manuscript: April 3, 2000
Manuscript Accepted: April 3, 2000
Published: July 1, 2000

Citation
Giuseppe Boccignone, Angelo Chianese, and Antonio Picariello, "Multiresolution spot detection by means of entropy thresholding," J. Opt. Soc. Am. A 17, 1160-1171 (2000)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-17-7-1160


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. T. K. Bhattachary, S. Haykm, “ANN based adaptive radar detection scheme for small target in sea clutter,” Electron. Lett. 28, 1528–1536 (1992). [CrossRef]
  2. T. Soni, J. Zeidler, W. Ku, “Performance evaluation of 2-D adaptive prediction filters for detection of small objects in image data,” IEEE Trans. Image Process. 2, 327–340 (1993). [CrossRef] [PubMed]
  3. P. French, J. Zeidler, W. Ku, “Enhanced detectability of small objects in correlated clutter using an improved 2-D adaptive lattice algorithm,” IEEE Trans. Image Process. 6, 383–397 (1997). [CrossRef]
  4. R. N. Strickland, H. I. Han, “Wavelet transform for detecting microcalcifications in mammograms,” IEEE Trans. Med. Imaging 15, 218–229 (1996). [CrossRef]
  5. H. Chan, L. Niklason, D. Ikeda, K. Lam, D. Adler, “Digitization requirements in mammography: effects on computer aided detection of microcalcifications,” Med. Phys. 21, 1203–1211 (1994). [CrossRef] [PubMed]
  6. I. Brodie, R. Gutcheck, “Radiographic information theory and application to mammography,” Med. Phys. 9, 812–820 (1982). [CrossRef]
  7. K. White, T. Hutson, T. Hutchinson, “Modeling human eye behavior during mammographic scanning: preliminary results,” IEEE Trans. Syst. Man Cybern. 27, 494–505 (1997). [CrossRef]
  8. N. Karssemeijer, “Adaptive noise equalization and recognition of microcalcifications clusters in mammograms,” Int. J. Pattern Recognition Artif. Intell. 7, 1357–1377 (1993). [CrossRef]
  9. T. Cover, J. Thomas, Elements of Information Theory (Wiley, New York, 1991).
  10. I. Daubechies, Ten Lectures on Wavelets (Society for Industrial and Applied Mathematics, Philadelphia, Pa., 1992).
  11. D. Donoho, I. Johnstone, “Ideal spatial adaptation by wavelet shrinkage,” Biometrika 81, 425–455 (1994). [CrossRef]
  12. S. Mallat, A Wavelet Tour of Signal Processing (Academic, San Diego, Calif., 1998).
  13. J. Sporring, J. Weickert, “Information measures in scale-spaces,” IEEE Trans. Inf. Theory 45, 1051–1058 (1999). [CrossRef]
  14. M. Ferraro, G. Boccignone, T. Caelli, “On the representation of image structures via scale-space entropy condition,” IEEE Trans. Pattern Anal. Mach. Intell. 21, 1199–1203 (1999). [CrossRef]
  15. T. Kailath, H. V. Poor, “Detection of stochastic processes,” IEEE Trans. Inf. Theory 44, 2230–2259 (1998). [CrossRef]
  16. D. Gabor, “Theory of communication,” J. IEE 93, 429–457 (1946).
  17. M. Antonini, M. Barlaud, P. Mathieu, I. Daubechies, “Image coding using wavelet transform,” IEEE Trans. Image Process. 1, 205–220 (1992). [CrossRef] [PubMed]
  18. S. Mallat, “A theory of multiresolution signal decomposition: the wavelet representation,” IEEE Trans. Pattern Anal. Mach. Intell. 11, 674–693 (1989). [CrossRef]
  19. M. Shensa, “The discrete wavelet transform: wedding the à trous and Mallat algorithm,” IEEE Trans. Signal Process. 40, 2464–2482 (1992). [CrossRef]
  20. T. Takayasu, Fractals in Physical Sciences (Manchester U. Press, Manchester, UK, 1990).
  21. J. Kittler, M. Hatef, R. B. W. Duin, J. Matas, “On combining classifiers,” IEEE Trans. Pattern Anal. Mach. Intell. 20, 226–239 (1998). [CrossRef]
  22. L. Huai, K. Liu, S. Lo, “Fractal modeling and segmentation for the enhancement of microcalcifications in digital mammograms,” IEEE Trans. Med. Imaging 16, 785–797 (1997). [CrossRef]
  23. B. Wandell, Foundations of Vision (Sinauer, Sunderland, Mass., 1995).
  24. M. Unser, A. Aldroubi, M. Eden, “On the asymptotic convergence of B-spline wavelets to Gabor functions,” IEEE Trans. Inf. Theory 38, 864–872 (1992). [CrossRef]
  25. P. Morse, H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, Toronto, 1953).
  26. D. Sheffer, D. Ingman, “The informational difference concept in analyzing target recognition issues,” J. Opt. Soc. Am. A 14, 1431–1438 (1997). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited