Fractal based image analysis of human trabecular bone using the box counting algorithm: Impact of resolution and relationship to standard measures of trabecular bone structure

Fractals

Volumn 6, Issue 3, 1998, Pages 275-283

  Osman, Daniel ^a   Newitt, David ^a   Gies, Alice ^a   Budinger, Thomas ^a   Truong, Vu Hao ^a   Majumdar, Sharmila ^a   Kinney, John ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b LAWRENCE LIVERMORE NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000120915     PISSN: 0218348X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218348X98000328     Document Type: Article

References (37)

1. U. Ruttiman, W. RL and J. Hazelrig, "Fractal Dimension from Radiographs of Peridental Alveolar Bone," Oral Surg. Oral Med. Oral Pathol. 74, 98-110 (1992).
2. B. L. Riggs and L. J. Melton, "The Prevention and Treatment of Osteoporosis," New England Journal of Medicine 327, 620-627 (1992).
3. R. S. Jacobowitz, 150 Most-Asked Questions about Osteoporosis (Hearst Books, New York, 1993).
4. E. Tanouye, "Osteoporosis Drug Made by Merck Gets Boost from Panel," in Wall Street Journal, San Diego, 1995, B3, col 1.
5. S. Squires, "New Osteoporosis Drug Endorsed by FDA Panel," in Washington Post, 1995, col 1.
6. A. M. Parfitt, "Trabecular Bone Architecture in the Pathogenesis and Prevention of Fracture," Am. J. Med. 82(suppl 1B), 68-72 (1987).
7. A. M. Parfitt, C. H. Mathews and A. R. Villanueva, et al., "Relationships between Surface, Volume, and Thickness of the Iliac Trabecular Bone in Aging and Osteoporosis," Journal of Clinical Investigation 72, 1396 (1983).
8. J. E. Aaron, N. B. Makins and K. Sagreiya, "The Microanatomy of Trabecular Bone Loss in Normal Aging Men and Women," Clinical Orthopaedics 215, 260 (1987).
9. P. Caligiuri, M. Giger, M. Favus, et al., "Computerized Radiographic Analysis of Osteoporosis: Preliminary Evaluation," Radiology 186, 471-474 (1993).
10. J. C. Buckland-Wright, J. A. Lynch, J. Rymer and I. Fogelman, "Fractal Signature Analysis of Macroradiographs Measures Trabecular Organization in Lumbar Vertebrae of Postmenopausal Women," Calcif. Tissue 54, 106-112 (1994).
11. H. Chung, F. W. Wehrli, J. L. Williams and L. S. D. Kugelmass, "Relationship between NMR Transverse Relaxation, Trabecular Bone Architecture, and Strength," Proc. Natl. Acad. Sci. USA 90, 10250-4 (1993).
12. J. E. Aaron, D. R. Johnson and J. A. Kanis, et al., "An Automated Method for the Analysis of Trabecular Bone Structure," Computers and Biomedical Research 25, 1-16 (1992).
13. F. W. Wehrli, J. C. Ford and H. W. Chung, et al., "Potential Role of Nuclear Magnetic Resonance for the Evaluation of Trabecular Bone Quality," Calcification Tissue International 53, S162-S169 (1993).
14. R. W. Goulet, S. A. Goldstein and M. J. Ciarelli, et al., "The Relationship between the Structural and Orthogonal Compressive Properties of Trabecular Bone," J. Biomech 27, 375-89 (1994).
15. R. S. Weinstein and S. Majumdar, "Fractal Geometry and Vertebral Compression Fractures," J. Bone Min. Res. 9, 1797-1802 (1994).
16. A. Mundinger, "Quantitative Image Analysis of Vertebral Body Architecture - Improved Diagnosis in Osteoporosis Based on High-Resolution Computer Tomography," British Journal of Radiology 66, 209-213 (1993).
17. M. Kleerekoper, A. R. Villanueva, J. Stanciu, D. S. Rao and A. M. Parfitt, "The Role of Three-Dimensional Trabecular Microstructure in the Pathogenesis of Vertebral Compression Fractures," Calcif. Tissue Int. 37, 594-597 (1985).
18. R. W. Glenny, H. T. Robertson and S. Yamashiro, "Applications of Fractal Analysis to Physiology," J. Appl. Phys. 70, 2351-2367 (1991).
19. R. W. Glenny and H. T. Robertson, "Fractal Modelling of Pulmonary Blood Flow Heterogeneity," J. Appl. Phys. 70, 1024-1030 (1991).
20. J. E. McNamee, "Fractal perspectives in Pulmonary Physiology," J. Appl. Phys. 71, 1-8 (1991).
21. C. B. Caldwell, S. J. Stapleton, D. W. Holdsworth, et al., "Characterisation of Mammographic Parenchymal Pattern by Fractal Dimension," Phys. Med. Biol. 35, 235-47 (1990).
22. S. Majumdar, H. K. Genant and S. Grampp, et al., "Analysis of Trabecular Bone Structure in the Distal Radius Using High Resolution MRI," Eur. Radiol. 4, 517-524 (1994).
23. H. W. Chung, C. C. Chu, M. Underweiser and F. W. Wehrli, "On the Fractal Nature of Trabecular Structure," Med. Phys. 21, 1535-1540 (1994).
24. J. Samarabandu, R. Acharya, E. Hausmann and K. Allen, "Analysis of Bone X-rays using Morphological Fractals," IEEE Transactions on Medical Imaging 12, 466-70 (1993).
25. J. A. Lynch, D. J. Hawkes and J. C. Buckland-Wright, "Analysis of Texture in Macroradiographs of Osteoarthritic Knees Using the Fractal Signature," Phys Med Biol 36, 709-722 (1991).
26. M. Doyle, H. Rabin and J. Suri, "Fractal Analysis as a Means for the Quantification of Intramandibular Trabecular Bone Loss from Dental Radiographs," Proc. Biostereometrics Technology and Applications, SPIE symposium on Laser Science and Applications of Optics 1380, 227-235 (1990).
27. T. Ishida, K. Yamashita, A. Takigawa, K. Kariya and H. Itoh, "Trabecular Pattern Analysis Using Fractal Dimension," Jpn. J. Appl. Phys. 32, 1867-1871 (1993).
28. B. B. Mandelbrot, The Fractal Geometry of Nature (Freeman, New York, 1983).
29. L. B. Cox and J. S. Y. Wang, "Fractal Surfaces: Measurement and Applications in the Earth Sciences," Fractals 1, 87-115 (1993).
30. S. Majumdar, D. Newitt and M. Jergas, et al., "Evaluation of Technical Factors Affecting the Quantification of Trabecular Bone Structure Using Magnetic Resonance Imaging," Bone 17, 1-2 (1995).
31. A. P. Pentland, "Fractal Based Description of Natural Scenes," IEEE Transactions on Pattern Analysis and Machine Intelligence 6, 661-674 (1984).
32. T. J. Dennis and N. G. Dessipris, "Fractal Modelling in Image Texture Analysis," IEE Proceedings 136, 227-235 (1989).
33. S. Peleg, J. Naor, R. Hartley and D. Aunir, "Multiple Resolution Texture Analysis and Classification," IEEE Transactions on Pattern Analysis 6, 518-523 (1984).
34. J. H. Kinney and M. C. Nichols, "X-ray Tomographic Microscopy (XTM) Using Synchrotron Radiation," Annual Review of Material Science 22, 121 (1992).
35. S. Majumdar, R. S. Weinstein and R. R. Prasad, "Application of Fractal Geometry Techniques to the Study of Trabecular Bone," Med. Phys. 20, 1611-9 (1993).
36. M. Sernetz, M. Justen and F. Jestczemski, "Dispersive Fractal Characterization of Kidney Arteries By Three-Dimensional Mass-Radius-Analysis," Fractals 3(4), 879-891 (1995).
37. Tamas Vicsek, Fractal Growth Phenomena (World Scientific, New Jersey, 1992).