Generation of fractal dimension images and its application to automatic edge detection in brain MRI

Computerized Medical Imaging and Graphics

Volumn 24, Issue 2, 2000, Pages 73-85

  Uemura, K ^a,b   Toyama, H ^b,c   Baba, S ^a,d   Kimura, Y ^b   Senda, M ^b   Uchiyama, A ^a  

^a WASEDA UNIVERSITY   (Japan)

^b TOKYO METROPOLITAN INSTITUTE OF GERONTOLOGY   (Japan)

^c NATIONAL INSTITUTE OF RADIOLOGICAL SCIENCES   (Japan)

^d SONY CORPORATION   (Japan)

Author keywords

Box counting method; Brain MRI; Edge detection; Edge enhance filter; Fractal dimension

Indexed keywords

BOX COUNTING METHOD; EDGE ENHANCE FILTER; FRACTAL DIMENSION IMAGES;

BRAIN; EDGE DETECTION; FRACTALS; IMAGE ENHANCEMENT; IMAGE QUALITY; MAGNETIC RESONANCE IMAGING;

MEDICAL IMAGING;

ADULT; ALZHEIMER DISEASE; ARTICLE; AUTOMATION; BOUNDARY LAYER; BRAIN; BRAIN TUMOR; CLINICAL ARTICLE; CONTROLLED STUDY; DURA MATER; FRACTAL ANALYSIS; HUMAN; IMAGE ANALYSIS; IMAGE DISPLAY; INTERMETHOD COMPARISON; NORMAL HUMAN; NUCLEAR MAGNETIC RESONANCE IMAGING; PRIORITY JOURNAL; SCALP; SIMULATION; TECHNIQUE; VOLUNTEER;

ADULT; ALZHEIMER DISEASE; BRAIN; BRAIN NEOPLASMS; COMPUTER SIMULATION; DATA DISPLAY; DURA MATER; FRACTALS; HUMANS; IMAGE ENHANCEMENT; IMAGE PROCESSING, COMPUTER-ASSISTED; MAGNETIC RESONANCE IMAGING; MALE; PHANTOMS, IMAGING; SCALP;

EID: 0034112193     PISSN: 08956111     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0895-6111(99)00045-2     Document Type: Article

References (35)

1. Mandelbrot BB. The fractal geometry of nature. San Francisco, CA: Freeman, 1982.
2. Voss RF. Random fractal forgeries. In: Earnshaw RA, editor. Fundamental algorithms for computer graphics, New York: Springer, 1985. p. 805-36.
3. Fournier A, Fussell D, Carpenter L. Computer rendering of stochastic models. Common Ass Comput Mach 1982;25(6):371-84.
4. Barnsley MF, Ervin V, Hardin D, Lancaster J. Solution of an inverse problem for fractals and other sets. Proc Natl Acad Sci 1986;83:1975-7.
5. Pentland A. Fractal-based description of natural scenes. IEEE Trans Pattern Anal Machine Intell 1984;PAMI-6:666-74.
6. Pentland A. Shading into texture. Artif Intell 1986;29:147-70.
7. Gagepain JJ, Groslambert J, Brendel R. The fractal dimension of phase and frequency noise: another approach to oscillator characterization. Proceedings of the 39th Annual Frequency Contr. Symposium Philadelphia, PA, May 1985, p. 31-9.
8. Peleg S, Naor J, Hartley R, Aunir D. Multiple resolution texture analysis and classification. IEEE Trans Pattern Anal 1984;6:518-23.
9. Kaneko H. Fractal feature and texture analysis. Trans Inst Electron Inform Commun Engng D 1987;J70D:964-72 (in Japanese).
10. Caimi FM, Schmalz MS. Statistical transformation and classification of marine zooplankton imagery. Proceedings of the IEEE Conference SoutheastCon-87, Tampa, FL: Cat: April 1987, CH2398-6.
11. Adachi Y, Kobayashi M, Ooi S. Applicability of fractals to the analysis of the projection of small floes. J Colloid Interface Sci 1998;208(1):353-5.
12. Shibuichi S, Yamamoto T, Onda T, Tsujii K. Super water- and oil-repellent surfaces resulting from fractal structure. J Colloid Interface Sci 1998;208(1):287-94.
13. Lundahl T, Ohley WJ, Kay SM, Siffert R. Fractional Brownian motion: a maximum likelihood estimator and its application to image texture. IEEE Trans Med Imaging 1986;MI-5(3):152-61.
14. Fortin C, Kumaresan R, Ohley W, Hoefer S. Fractal dimension in the analysis of medical images. IEEE Engng Med Biol 1992;6:65-71.
15. Chen CC, DaPonte JS, Fox MD. Fractal feature analysis and classification in medical imaging. IEEE Trans Med Imaging 1989;MI-8:133-42.
16. Dioguardi N, Grizzi F, Bossi P, Roncalli M. Fractal and spectral dimension analysis of liver fibrosis in needle biopsy specimens. Anal Quant Cytol Histol 1999;21(3):262-6.
17. da Costa LF, Velte TJ. Automatic characterization and classification of ganglion cells from the salamander retina. J Comp Neurol 1999;404(1):33-51.
18. Mihara N, Kuriyama K, Kido S, Kuroda C, Johkoh T, Naito H, Nakamura H. The usefulness of fractal geometry for the diagnosis of small peripheral lung tumors. Nippon Igaku Hoshasen Gakkai Zasshi 1998;58(4):148-51.
19. Chung HW, Chu CC. On the fractal nature of trabecular structure. Med Phys 1994;21:1535-40.
20. Pelizzar CA, Chen GTY, Spelbring DR, et al. Accurate three-dimensional registration of CT, PET, and/or MR images of the brain. J Comput Assist Tomogr 1989;13:20-26.
21. Evans AC, Beil C, Marrett S, Thompson CJ, Hakim A. Anatomical-functional correlation using an adjustable MRI-based region of interest atlas with positron emission tomography. J Cereb Blood Flow Metabol 1988;8:513-30.
22. Alpert NM, Bradshaw JF, Kennedy D, et al. The principal axes transformation - a method for image registration. J Num Med 1990;31:1717-22.
23. Alpert NM, Berdichevsky D, Levin Z, Morris ED, Fischman AJ. Improved methods for image registration. Neurolmage 1996;3:10-18.
24. Stokking R, Zuiderveld KJ, Pol EH, Rijk PPV, Viergever MA. Normal fusion for three-dimensional integrated visualization of SPECT and magnetic resonance brain images. J Nucl Med 1997;38(4):624-9.
25. Nariai T, Senda M, Ishii K, Maehara T, Wakabayashi S, Toyama H, Ishiwata K, Hirakawa K. Three-dimensional imaging of cortical structure, function and glioma for tumor resection. J Nucl Med 1997;38(10):1563-8.
26. DaPonte JS, Fox MD. Enhancement of chest radiographs with gradient operators. IEEE Trans Med Imaging 1988;MI-7:109-17.
27. Friedlinger M, Schad LR, Baudendistel K, Schroder J, Pantel J, Knopp MV, Lorenz WJ. A technique for rapid extraction of intracranial contours from 71-weighted 3D-MRI head data. Neurolmage 1996;3(3):s606.
28. Turkington TG, Jaszczak RJ, Pelizzari CA, Harris CC, MacFall JR, Hoffman JM, Coleman RE. Accuracy of registration of PET, SPECT and MR images of a brain phantom. J Nucl Med 1993;34:1587-94.
29. Jackson PC, Wilde P, Watt I, Davies ER. An edge detection algorithm for use in radionuclide imaging. Eur J Med 1993;6:33-8.
30. Barnsley MF, Devaney RRL, Mandelbrot BB, et al. The science of fractal images. New York: Springer, 1988.
31. Feder J. Fractals. New York: Plenum Press, 1988.
32. Nakayama H, Sone M, Takagi M. Texture analysis of meteorological image by fractal dimension and lower order statistics. Comput Vision 1986;44:1-8 (in Japanese).
33. Schepers HE, Van Beek JHGM, Bassingthwaighte JB. Four methods to estimate the fractal dimension from self-affine signals. IEEE Eng Med Biol 1992;11(2):57-64.
34. Woods RP, Mazziotta JC, Cherry SR. MR-PET registration with automated algorithm. J Comput Assist Tomogr 1989;13:20-26.
35. Ardekani BA, Barun M, Hutton BF, Kanno I, lida H. A fully automatic multimodality image registration algorithm. J Comput Assist Tomogr 1995;19(4):615-23.