Abstract
Preliminary work on the development of a quantitative method of characterizing the radiographic appearance of cancellous bone is described. The method is based upon calculation of the “fractal dimension” in regions of interest of digitized radiographs. The method was applied to standard pre-operative radiographs of the hip and proximal femur of fifteen patients who were to undergo total hip arthroplasty. Cancellous bone samples were retained at arthroplasty and their compressive strength and ash density assessed. The fractal dimension was found to correlate more strongly with compressive strength than did a conventional method of assessing bone quality (the Singh Index). Among the potential benefits of the new technique is the possibility of providing guidance in the pre-operative selection of the optimal method of implant fixation for an individual patient.
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Browne MA, Gaydecki PA, Gough RF, Grennan DM Khalil SI, Mamtora H Radiographic image analysis in the study of bone morphology Clin Phys Physiol Meas 1987 8: 105–121.
Cargill EB, Donohoe K, Kolodny G, Parker JA Zimmerman RE Analysis of lung scans using fractals Proc SPIE 1989 1092: 2–9.
Hui SL, Slemenda C, Johnston CC Age and bone mass as predictors of fracture in a prospective study J Clin Invest 1988 81: 1804–1809.
Kaandorp JA Modelling growth forms of sponges with fractal techniques in: Fractals and Chaos New York: Springer Verlag 1991.
Lotz JC, Gerhart TN, Hayes WC Mechanical properties of trabecular bone from the proximal femur: a quantitative CT study J Comput Assist Tomogr 1990, 14: 107–114.
Lotz JC, Hayes WC The use of quantitative computed tomography to estimate risk of fracture of the hip from falls J Bone Joint Surgery 1990 72-A: 689–700.
Lundahl T, Ohley WJ, Kuklinski WS, Williams DO, Gerwitz H, Most AS Analysis and interpolation of angiographic images by use of fractals Comput in Cardiol 1985 24: 355–358.
Lynch JA, Hawkes DJ, Buckland-Wright JC Analysis of texture in macrora-diographs of osteoarthritic knees using the fractal signature Phys Med Biol 1991 36: 709–722.
Mainster MA The fractal properties of retinal vessels: embryological and clinical implications. Eye 1990 4: 235–241.
Mandelbrot BB The Fractal Geometry of Nature New York: W.H. Freeman and Company 1983.
Martens M, Van Audekercke R, Delport P, De Meester P, Mulier JC The mechanical characteristics of cancellous bone at the upper femoral region J Biomechanics 1983 16: 971–983.
Ott SM, Kilcoyne RF, Chesnut CH III Longitudinal changes in bone mass after one year as measured by different techniques in patients with osteoporosis Calcif Tissue Int 1986 39:133–138.
Pentland AP Fractal-based descriptions of natural scenes IEEE Trans Pattern Anal and Machine Intelligence 1984 PAMI-6: 661–674.
Rosson J, Surowiak J, Schatzker J, Hearn T The relationship between the radiographic appearances and the structural properties of proximal femoral bone in patients undergoing total hip arthroplasty (submitted for publication)
Ruttimann UE, Webber RL, Hazelrig JB Fractal dimension from radiographs of peridental alveolar bone: A possible diagnostic indicator of osteoporosis Oral Surg Oral Med Oral Pathol 1992 74: 98–110.
Singh M, Nagrath AR, Maini PS Changes in trabecular pattern of the upper end of the femur as an index of osteoporosis J Bone Joint Surg 1970 52-A: 457–467.
Spotorno, Rogmagnoli. Indications for the CLS stem in: Cementless Total Hip Replacement System CLS. Monograph published by Protek AG, 1988.
Stulberg BN, Bauer TW, Watson JT, Richmond B Roentgenographic versus histologic assessment of hip bone structure Clinical Orthopaedics and Related Research 1989 240: 200–205.
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© 1994 Springer Basel AG
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Caldwell, C.B., Rosson, J., Surowiak, J., Hearn, T. (1994). Use of the Fractal Dimension to Characterize the Structure of Cancellous Bone in Radiographs of the Proximal Femur. In: Nonnenmacher, T.F., Losa, G.A., Weibel, E.R. (eds) Fractals in Biology and Medicine. Mathematics and Biosciences in Interaction. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8501-0_27
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DOI: https://doi.org/10.1007/978-3-0348-8501-0_27
Publisher Name: Birkhäuser, Basel
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