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Enhance vessel structures in 3D images using Hessian/Frangi/eigenvalue filter through the ITK library

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Enhancing vessels in 3D images with Hessian/Frangi/Eigenvalue filter

platform language compiler builder compiler

Based on "Multiscale vessel enhancement filtering" by A.F. Frangi, 1998. Link to paper.
Developed by Viet Than, Medical Image Computing Lab under Ipek Oguz, Vanderbilt University. 2019.

Presentation as pdf or powerpoint.

ITK library

"ITK is an open-source, cross-platform system that provides developers with an extensive suite of software tools for image analysis."

  • developed by the National Library of Medicine

Hessian filters

There should only be one but was separated into 2 parts, both is needed. One applies the Frangi equation on the eigenvalues extracted from the Hessian information of the image, the other applies the previous to different scale levels. Filters contributed by Luca Antiga of Medical Imaging Unit, Bioengineering Department, Mario Negri Institute, Italy.

  • itkHessianToObjectnessMeasureImageFilter.h
  • itkMultiScaleHessianBasedMeasureImageFilter.h

Some notes on parameters

  1. Alpha: corresponding to ratio R_A, "essential for distinguishing between plate-like and line-like structures since only in the latter case it will be zero" - Frangi, 1998
  2. Beta: corresponding to ratio R_B, "accounts for the deviation from a blob-like structure but cannot distinguish between a line- and a plate-like pattern" - Frangi, 1998
  3. Gamma: correspond to S, "the Frobenius norm of the Hessian matrix, or second-order structureness" - comment in source code of itkHessianToObjectnessMeasureImageFilter
  4. Sigma: the range of scales being filtered (will need to input sigma minimum, maximum, and number of steps in that range)

Data example

Smallfield fovea angiography provided by the Diagnostic Imaging and Image-Guided Interventions Lab under Yuankai Tao, Vanderbilt University. 2019.

Related repositories:

In various state of unfinished to complete:

Author and Acknowledgements

Author: Viet Than, Department of EECS, Vanderbilt University, US.
Supervisor: Ipek Oguz, Prof. Department of EECS, Vanderbilt University, US.

With the help of the Medical Image Computing Lab.

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Enhance vessel structures in 3D images using Hessian/Frangi/eigenvalue filter through the ITK library

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