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23 June 1993 Multifractal analysis of radiographic bone structure in osteoporosis
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We are developing noninvasive methods to evaluate bone structure in osteoporosis as demonstrated on conventional radiographs of the spine. One of these methods involves the estimation of fractal dimension of vertebral bodies in the spine of osteoporotic patients with fracture(s) elsewhere in the spin compared to patients without spine fracture. Fractal dimension was estimated using a surface 'area' method based on pixel gray level 'heights'. Analysis of the data by this method suggested a multifractal model of bone structure yielding two fractal dimensions for each case. The ability of these fractal dimensions to distinguish between cases with fracture elsewhere in the spine from those with no spine fracture was evaluated using receiver operating characteristic (ROC) curve analysis. An Az value of 0.87 using one of these fractal dimensions was significantly better than the Az of 0.60 using bone mass measurements for the same patients. The results suggest a possible value of a method using fractal dimension method for the improved prediction of fracture risk in osteoporosis patients.
© (1993) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Philip Caligiuri M.D., Maryellen Lissak Giger, Murray Favus M.D., and Kunio Doi "Multifractal analysis of radiographic bone structure in osteoporosis", Proc. SPIE 2035, Mathematical Methods in Medical Imaging II, (23 June 1993);

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