24 May 1995 Fractal analysis of bone structure with applications to osteoporosis and microgravity effects
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Abstract
We characterize the trabecular structure with the aid of fractal dimension. We use alternating sequential filters (ASF) to generate a nonlinear pyramid for fractal dimension computations. We do not make any assumptions of the statistical distributions of the underlying fractal bone structure. The only assumption of our scheme is the rudimentary definition of self-similarity. This allows us the freedom of not being constrained by statistical estimation schemes. With mathematical simulations, we have shown that the ASF methods outperform other existing methods for fractal dimension estimation. We have shown that the fractal dimension remains the same when computed with both the x-ray images and the MRI images of the patella. We have shown that the fractal dimension of osteoporotic subjects is lower than that of the normal subjects. In animal models, we have shown that the fractal dimension of osteoporotic rats was lower than that of the normal rats. In a 17 week bedrest study, we have shown that the subject's prebedrest fractal dimension is higher than that of the postbedrest fractal dimension.
© (1995) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Raj S. Acharya, Raj S. Acharya, Adrian LeBlanc, Adrian LeBlanc, Linda Shackelford, Linda Shackelford, Vivek Swarnakar, Vivek Swarnakar, Ram Krishnamurthy, Ram Krishnamurthy, E. Hausman, E. Hausman, Chin-Shoou Lin, Chin-Shoou Lin, } "Fractal analysis of bone structure with applications to osteoporosis and microgravity effects", Proc. SPIE 2433, Medical Imaging 1995: Physiology and Function from Multidimensional Images, (24 May 1995); doi: 10.1117/12.209716; https://doi.org/10.1117/12.209716
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