Fractal Analysis of Proximal Femur Radiographs: Correlation with Biomechanical Properties and Bone Mineral Density

Conventional radiography and fractal analysis were used to quantify trabecular texture patterns in human femur specimens and these measures were used in conjunction with bone mineral density (BMD) to predict bone strength. Radiographs were obtained from 51 human femur specimens (25 male, 26 female). The radiographs were analyzed using three different fractal geometry based techniques, namely semi-variance, surface area and Fourier analysis. Maximum compressive strength (MCS) and shear stress (MSS) were determined with a material testing machine; BMD was measured using quantitative computed tomography (QCT). MCS and MSS both correlated significantly with BMD (MCS: R= 0.49–0.54; MSS: R= 0.69–0.72). Fractal dimension also correlated significantly with both biomechanical properties (MCS: R= 0.49–0.56; MSS: R= 0.47–0.54). Using multivariate regression analysis, the fractal dimension in addition to BMD improved correlations versus biomechanical properties. Both BMD and fractal dimension showed statistically significant correlation with bone strength. The fractal dimension provided additional information beyond BMD in correlating with biomechanical properties.

Authors and Affiliations

1. Magnetic Resonance Science Center, Department of Radiology, University of California San Francisco, California USA;, , , , , , US

   J. C. Lin , S. Grampp, T. Link, M. Kothari, D. C. Newitt & S. Majumdar

2. Department of Radiology, Benjamin Franklin, University Hospital, Free University Berlin, Berlin, Germany, , , , , , DE

   D. Felsenberg

Received: 15 April 1998 / Accepted: 23 September 1998

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