Skip to main content

A Topological Approach to Quantitation of Rheumatoid Arthritis

  • Conference paper
Visualization in Medicine and Life Sciences

Part of the book series: Mathematics and Visualization ((MATHVISUAL))

Summary

Clinical radiologists require not only visual representations of MRI and CT data but also quantitative measurements representing the progression of chronic conditions such as rheumatoid arthritis of the knee. Since inflammation is confined to a thin irregularly shaped region called the synovial capsule it is necessary to segment a suitable approximation of the capsule, then compute quantitative measurements within the segmented region. We report preliminary results on applying topological tools to identify the desired region visually and to extract quantitative information, along with a protocol for clinical validation of the method.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Y Alamanos, PV Voulgari, and AA Drosos. Rheumatoid arthritis in southern europe: epidemiological, clinical, radiological and genetic considerations. Current Rheumatology Reviews, 1:33–36, 2005.

    Article  Google Scholar 

  2. Chandrajit L. Bajaj, Valerio Pascucci, and Daniel R. Schikore. The Contour Spectrum. In Proceedings of Visualization 1997, pages 167-173, 1997.

    Google Scholar 

  3. Hamish Carr, Brian Duffy, and Barry Denby. On histograms and iso-surface statistics. IEEE Transactions on Visualization and Computer Graphics, 12(5):1259–1265, 2006.

    Article  Google Scholar 

  4. Hamish Carr and Jack Snoeyink. Path Seeds and Flexible Isosurfaces: Using Topology for Exploratory Visualization. In Proceedings of Eurographics Visualization Symposium 2003, pages 49-58, 285, 2003.

    Google Scholar 

  5. Hamish Carr, Jack Snoeyink, and Michiel van de Panne. Simplifying Flexible Isosurfaces with Local Geometric Measures. In Proceedings of Visualization 2004, pages 497-504, 2004.

    Google Scholar 

  6. Hamish Carr, Jack Snoeyink, and Michiel van de Panne. Flexible iso-surfaces: Simplifying and displaying scalar topology using the contour tree. Accepted for publication in Computational Geometry: Theory and Application, 2007.

    Google Scholar 

  7. M Feldmann, FM Brennan, and RN Maini. Role of cytokines in rheumatoid arthritis. Annual Review of Immunology, 14:397–440, 1996.

    Article  Google Scholar 

  8. Takayuki Itoh and Koji Koyamada. Automatic Isosurface Propagation Using an Extrema Graph and Sorted Boundary Cell Lists. IEEE Transactions on Visualization and Computer Graphics, 1(4):319–327, 1995.

    Article  Google Scholar 

  9. HH Kuper, MA van Leeuwen, PL van Riel, ML Prevoo, PM Houtman, WF Lolkema, and MH van Rijswijk. Radiographic damage in large joints in early rheumatoid arthritis: relationship with radiographic damage in hands and feet, disease activity, and physical disability. British Journal of Rheumatology, 36:855–860, 1997.

    Article  Google Scholar 

  10. William E Lorenson, and Harvey E Cline. Marching Cubes: A High Resolution 3D Surface Construction Algorithm. Computer Graphics, 21(4):163–169, 1987.

    Article  Google Scholar 

  11. C Marra. Rheumatoid arthritis: a primer for pharmacists. American Journal of Health-System Pharmacy, 63: Supp 4:S4–S10, 2006.

    Article  Google Scholar 

  12. M Østergaard, M Stoltenbeg, P Lvgreen-Nielsen, B Volck, S Sonne-Holm, and IB Lorenzen. Quantification of synovitis by mri: correlation between dynamic and static gadolinium-enhanced magnetic resonance and microscopic and macroscopic signs of the synovial inflammation. Magnetic Resonance Imaging, 16:743–754, 1998.

    Article  Google Scholar 

  13. K Raza, CE Buckley, M Salmon, and CD Buckley. Treating very early rheumatoid arthritis. Best Practice & Research Clinical Rheumatology, 20(5):849–863, 2006.

    Article  Google Scholar 

  14. Marc van Kreveld, René van Oostrum, Chandrajit L. Bajaj, Valerio Pascucci, and Daniel R. Schikore. Contour Trees and Small Seed Sets for Isosurface Traversal. In Proceedings of the 13th ACM Symposium on Computational Geometry, pages 212-220, 1997.

    Google Scholar 

  15. Brian Wyvill, Craig McPheeters, and Geoff Wyvill. Animating Soft Objects. Visual Computer, 2:235–242, 1986.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer

About this paper

Cite this paper

Carr, H. et al. (2008). A Topological Approach to Quantitation of Rheumatoid Arthritis. In: Linsen, L., Hagen, H., Hamann, B. (eds) Visualization in Medicine and Life Sciences. Mathematics and Visualization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72630-2_2

Download citation

Publish with us

Policies and ethics