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X-ray Crystallography02:18

X-ray Crystallography

The size of the unit cell and the arrangement of atoms in a crystal may be determined from measurements of the diffraction of X-rays by the crystal, termed X-ray crystallography.
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Related Experiment Video

Updated: Jul 8, 2026

Assessment of Bone Fracture Healing Using Micro-Computed Tomography
12:04

Assessment of Bone Fracture Healing Using Micro-Computed Tomography

Published on: December 9, 2022

Analysis of bone X-rays using morphological fractals.

J Samarabandu1, R Acharya, E Hausmann

  • 1State Univ. of New York, Buffalo, NY.

IEEE Transactions on Medical Imaging
|January 1, 1993
PubMed
Summary
This summary is machine-generated.

Mathematical morphology enables fractal analysis of bone X-rays. This method provides a robust texture measure for trabecular bone structures, enhancing diagnostic capabilities.

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Last Updated: Jul 8, 2026

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Outer-Boundary Assisted Segmentation and Quantification of Trabecular Bones by an Imagej Plugin

Published on: March 14, 2018

Area of Science:

  • Medical Imaging
  • Image Analysis
  • Fractal Geometry

Background:

  • Trabecular bone structure analysis is crucial for diagnosing bone diseases.
  • Traditional methods for bone texture analysis can be limited.
  • Fractal analysis offers a potential approach for quantifying complex bone structures.

Purpose of the Study:

  • To apply mathematical morphology for fractal analysis on bone X-ray images.
  • To develop a robust texture measure for trabecular bone structures using fractal dimension.
  • To evaluate the effectiveness of the proposed method on bone radiographs.

Main Methods:

  • Digitized gray-level bone X-ray images were treated as 3D surfaces.
  • Fractal dimension was calculated using a series of dilations and surface area plotting.
  • A structuring element was employed to encode structural information.

Main Results:

  • The fractal dimension was successfully calculated for several bone radiographs.
  • The fractal dimension derived from mathematical morphology proved to be a robust texture measure.
  • The method effectively characterized trabecular bone structures.

Conclusions:

  • Mathematical morphology provides a powerful tool for fractal analysis in medical imaging.
  • Fractal dimension calculated via this method offers a reliable texture descriptor for trabecular bone.
  • This approach has significant potential for improving the assessment of bone health from X-ray images.