Related Experiment Video
Updated: May 25, 2026

09:36
Outer-Boundary Assisted Segmentation and Quantification of Trabecular Bones by an Imagej Plugin
Published on: March 14, 2018
In vitro estimation of fast and slow wave parameters of thin trabecular bone using space-alternating generalized
Morad Grimes1, Abdelmalek Bouhadjera, Sofiane Haddad
1Electronics Department, NDT Lab, Jijel University, Ouled Aissa, Jijel 18000, Algeria. morad_grimes@univ-jijel.dz
Ultrasonics
|January 31, 2012
Summary
Ultrasonic waves in bone can diagnose osteoporosis, but distinguishing fast and slow waves is challenging. A new method uses the space alternating generalized expectation maximization (SAGE) algorithm to separate these waves for better bone health assessment.
Area of Science:
- Biomedical Engineering
- Materials Science
- Medical Imaging
Background:
- Cancellous bone testing using ultrasound reveals two longitudinal Biot's waves (fast and slow).
- Wave propagation is influenced by bone trabeculae alignment and specimen thickness, offering potential for osteoporosis diagnosis.
- Identifying these superimposed waves in signals is difficult due to their overlapping nature.
Purpose of the Study:
- To investigate ultrasonic wave propagation in bovine cancellous bone.
- To separate superimposed Biot's fast and slow longitudinal waves using a novel algorithm.
- To estimate key parameters of each separated wave for improved analysis.
Main Methods:
- Utilized ultrasonic wave propagation analysis in a 4mm thick bovine cancellous bone sample.
- Applied the space alternating generalized expectation maximization (SAGE) algorithm, typically used in speech processing, for wave separation.
- Employed Biot's finite-difference time-domain (FDTD) method for simulations and validated with experimental data from bovine femoral-head bone.
Main Results:
- Successfully separated superimposed Biot's fast and slow longitudinal waves in cancellous bone.
- Enabled estimation of wave parameters including arrival time, center frequency, bandwidth, amplitude, phase, and velocity.
- Validated simulation results with experimental data, confirming the efficacy of the SAGE algorithm.
Conclusions:
- The SAGE algorithm effectively separates Biot's fast and slow waves in cancellous bone, overcoming limitations of superimposed signals.
- This technique allows for detailed characterization of individual wave parameters, enhancing diagnostic potential.
- The validated approach provides a promising tool for non-invasive osteoporosis diagnosis through ultrasound analysis of bone structure.

