Spatial frequency analysis of trabecular bone radiographs

Isaac Leichter; Victor Neeman; Emanuel Resin

doi:10.1117/12.151122

13 August 1993 Spatial frequency analysis of trabecular bone radiographs

Isaac Leichter, Victor Neeman, Emanuel Resin

Proceedings Volume 1972, 8th Meeting on Optical Engineering in Israel: Optoelectronics and Applications in Industry and Medicine; (1993) https://doi.org/10.1117/12.151122
Event: 8th Meeting in Israel on Optical Engineering, 1992, Tel Aviv, Israel

Abstract

The architecture of trabecular tissue in the femoral neck plays an essential role in determining its resistance to mechanical loads. In the present study, we suggest a quantitative technique for analyzing the pattern of bone trabeculae on a conventional radiograph of the femoral neck. The method is based on optical image processing of the radiograph in order to obtain the two- dimensional power spectrum of the trabecular distribution. A one-dimensional analytic model has been developed to describe the light distribution transmitted through a region with a trabecular pattern on the radiograph. This model is able to simulate the changes which appear in the transmittance curve during the process of trabecular resorption. The resulting changes in the power spectrum of the trabecular distribution have been calculated in order to determine accurately the spectral shift which characterizes the change in the trabecular pattern. The light intensity in the Fourier plane of the optical system was analyzed to obtain experimentally the power spectrum of the trabecular pattern. The power spectrums resulting from the model were similar to those obtained by the optical Fourier Transform of the radiographs. The two dimensional power spectrum in the optical Fourier plane was analyzed in different directions. We found that different frequency range contributes to the spectrum in each direction. These results imply that optical Fourier analysis of the trabecular pattern on a conventional bone radiograph is a potential tool to characterize the structural changes occurring in the osteoporotic process.

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Isaac Leichter, Victor Neeman, and Emanuel Resin "Spatial frequency analysis of trabecular bone radiographs", Proc. SPIE 1972, 8th Meeting on Optical Engineering in Israel: Optoelectronics and Applications in Industry and Medicine, (13 August 1993); https://doi.org/10.1117/12.151122

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KEYWORDS

Bone

Radiography

Spatial frequencies

Radio optics

Fourier transforms

Transparency

Neck

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