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Fractal analysis of bone X-ray tomographic microscopy projections
R Jennane1, W J Ohley, S Majumdar
1Laboratory of Electronics, Signals and Images, University of Orleans, France. Rachid.Jennane@univ-orleans.fr
IEEE Transactions on Medical Imaging
|June 14, 2001
Summary
Fractal analysis of bone X-ray tomographic microscopy (XTM) projections can quantify 3-D trabecular bone changes. Fractional Brownian motion (fBm) effectively characterizes bone structure alterations during simulated disease progression.
Area of Science:
- Biomedical Imaging
- Materials Science
- Medical Physics
Background:
- Fractal analysis is increasingly used for diagnosing bone diseases from X-ray images.
- Understanding the relationship between 3-D bone structure and 2-D fractal analysis is crucial.
Purpose of the Study:
- To investigate the correlation between three-dimensional (3-D) trabecular bone changes and two-dimensional (2-D) fractal descriptors.
- To evaluate the efficacy of fractal analysis on bone X-ray tomographic microscopy (XTM) projections for disease characterization.
Main Methods:
- Acquisition of 3-D bone XTM images using a highly collimated beam.
- Simulation of trabecular bone loss using mathematical morphology.
- Generation of 2-D projections in three orthogonal directions.
- Application of the fractional Brownian motion (fBm) model to 2-D projections.
Main Results:
- The fBm model demonstrated robustness in characterizing bone structure.
- Quantification of simulated trabecular bone changes was achieved using fBm.
- A correlation between 3-D trabecular alterations and 2-D fractal descriptors was suggested.
Conclusions:
- Fractal analysis of bone XTM projections, particularly using the fBm model, is a viable method for quantifying trabecular bone changes.
- This approach holds promise for the diagnosis and monitoring of bone diseases.