Skip to main content

Multiscale Vessel Enhancing Diffusion in CT Angiography Noise Filtering

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 3565))

Abstract

Filtering of vessel structures in medical images by analyzing the second order information or the Hessian of the image, is a well known technique. In this work we incorporate Frangi’s multiscale vessel filter [4], which is based on a geometrical analysis of the Hessian’ eigenvectors, into a nonlinear, anisotropic diffusion scheme, such that diffusion mainly takes place along the vessel axis while diffusion perpendicular to this axis is inhibited. The multiscale character of the vesselness filter ensures an equally good response for varying vessel radii. The first, theoretical contribution of this paper is the modification of the original formulation of this vessel filter, such that it becomes a smooth function on its domain which is a necessary condition imposed by the diffusion process to ensure well-posedness. The second contribution concerns the application of noise filtering of 3D synthetic, phantom computed tomography (CT) and patient CT data. It is shown that the method is very effective in noise filtering, illustrating its potential as a preprocessing step in the analysis of low dose CT angiography.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Canero, C., Radeva, P.: Vesselness enhancement diffusion. Pattern Recognition Letters 24, 3141–3151 (2003)

    Article  Google Scholar 

  2. Catté, F., Lions, P.-L., Morel, J.-M., Coll, T.: Image selective smoothing and edge detection by nonlinear diffusion. SIAM J. Numer. Anal. 29(1), 182–193 (1992)

    Article  MATH  MathSciNet  Google Scholar 

  3. Fahrig, R., Nikolov, H., Fox, A.J., Holdsworth, D.W.: A three dimensional cerebrovascular flow phantom. Medical Physics 8(26), 1589–1599 (1999)

    Article  Google Scholar 

  4. Frangi, A.F., Niessen, W.J., Vincken, K.L., Viergever, M.A.: Multiscale vessel enhancement filtering. In: Medical Image Computing and Computer-Assisted Intervention, pp. 130–137 (1998)

    Google Scholar 

  5. Lindeberg, T.: Edge detection and ridge detection with automatic scale selection. Int. J. of Computer Vision 30(2), 117–154 (1998)

    Article  Google Scholar 

  6. Lorenz, C., Carlsen, I.-C., Buzug, T.M., Fassnacht, C., Weese, J.: Multi-scale line segmentation with automatic estimation of width, contrast and tangential direction in 2d and 3d medical images. In: CVRMed-MRCAS 1997, pp. 233–242 (1997)

    Google Scholar 

  7. Manniesing, R., Velthuis, B.K., van Leeuwen, M.S., Niessen, W.J.: Skeletonization for re-initialization in level set-based vascular tree segmentation. In: Fitzpatrick, J.M., Sonka, M. (eds.) SPIE Medical Imaging, vol. 5370, pp. 506–514 (2004)

    Google Scholar 

  8. Perona, P., Malik, J.: Scale-space and edge detection using anisotropic diffusion. IEEE Transactions on Pattern Analysis and Machine Intelligence 12(7), 629–639 (1990)

    Article  Google Scholar 

  9. Prokop, M., Galanski, M.: Spiral and Multislice Computed Tomography of the Body. Thieme-verlag, Stuttgart (2003)

    Google Scholar 

  10. Sato, Y., Nakajima, S., Shiraga, N., Atsumi, H., Yoshida, S., Koller, T., Gerig, G., Kikinis, R.: Three-dimensional multi-scale line filter for segmentation and visualization of curvilinear structures in medical images. Medical Image Analysis 2(2), 143–168 (1998)

    Article  Google Scholar 

  11. ter Haar Romeny, B.M. (ed.): Geometry-Driven Diffusion in Computer Vision, vol. 1. Kluwer Academic Publishers, Dordrecht (1994)

    MATH  Google Scholar 

  12. Venema, H.W., Hulsmans, F.J.H., den Heeten, G.J.: CT angiography of the Circle of Willis and intracranial internal carotid arteries: Maximum intensity projection with matched mask bone elimination - feasibility study. Radiology 218(3), 893–898 (2001)

    Google Scholar 

  13. Weickert, J.: Theoretical foundations of anisotropic diffusion in image processing. Theoretical Foundations of Computer Vision, 221–236 (1994)

    Google Scholar 

  14. Weickert, J.: Anisotropic Diffusion in Image Processing. PhD thesis, University of Kaiserslautern (1996)

    Google Scholar 

  15. Weickert, J.: A review of nonlinear diffusion filtering. In: ter Haar Romeny, B., Florack, L.M.J., Viergever, M.A. (eds.) Scale-Space 1997. LNCS, vol. 1252, pp. 3–28. Springer, Heidelberg (1997)

    Google Scholar 

  16. Weickert, J.: Coherence-enhancing diffusion filtering. International Journal of Computer Vision 31, 111–127 (1999)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Manniesing, R., Niessen, W. (2005). Multiscale Vessel Enhancing Diffusion in CT Angiography Noise Filtering. In: Christensen, G.E., Sonka, M. (eds) Information Processing in Medical Imaging. IPMI 2005. Lecture Notes in Computer Science, vol 3565. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11505730_12

Download citation

  • DOI: https://doi.org/10.1007/11505730_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-26545-0

  • Online ISBN: 978-3-540-31676-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics