Skip to main content

Discrete Estimation of Data Completeness for 3D Scan Trajectories with Detector Offset

Part of the Informatik aktuell book series (INFORMAT)

Abstract

The sequence of source and detector positions in a CT scan determines reconstructable volume and data completeness. Commonly this is regarded already in the design phase of a scanner. Modern flatpanel scanners, however, allow to acquire a broad range of positions. This enables many possibilities for different scan paths. However, every new path or trajectory implies different data completeness. Analytic solutions are either designed for special trajectories like the Tam-window for helical CT scans or do not incorporate the actual detector size such as Tuy’s condition. In this paper, we describe a method to determine the voxelwise data completeness in percent for discretely sampled trajectories. Doing so, we are able to model any sequence of source and detector positions. Using this method, we are able to confirm known theory such as Tuy’s condition and data completeness of trajectories using detector offset to increase the field-of-view. As we do not require an analytic formulation of the trajectory, the algorithm will also be applicable to any other source-detector-path or set of source-detector-path segments.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • DOI: 10.1007/978-3-662-46224-9_10
  • Chapter length: 6 pages
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
eBook
USD   79.99
Price excludes VAT (USA)
  • ISBN: 978-3-662-46224-9
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD   89.99
Price excludes VAT (USA)

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Herbst M, Schebesch F, Berger M, et al. Improved trajectories in C-arm computed tomography for non-circular fields of view. Proc Int Conf Image Form X-ray Comput Tomogr. 2014; p. 274–8.

    Google Scholar 

  2. Xia Y, Maier A, Berger M, et al. Region of interest reconstruction from doseminimized super short scan data. Proc BVM. 2014; p. 48–53.

    Google Scholar 

  3. Stayman JW, Siewerdsen JH. Task-based trajectories in iteratively reconstructed interventional cone-beam CT. Proc Int Meet Fully Three-Dimens Image Reconstr Radiol Nucl Med. 2013; p. 257–60.

    Google Scholar 

  4. Yu Z, Maier A, Schoenborn M, et al. Frist experimental results on long-object imaging using a reverse helical trajectory with a C-arm system. Proc Int Conf Image Form X-ray Comput Tomogr. 2012; p. 364–8.

    Google Scholar 

  5. Zeng GL. Medical Image Reconstruction. Springer; 2010.

    Google Scholar 

  6. Tam KC, Samarasekera S, Sauer F. Exact cone beam CT with a spiral scan. Phys Med Biol. 1998;43(4):1015.

    CrossRef  Google Scholar 

  7. Metzler SD, Bowsher JE, Jaszczak RJ. Geometrical similarities of the Orlov and Tuy sampling criteria and a numerical algorithm for assessing sampling completeness. IEEE Trans Nuc Sci. 2003;50:1550–5.

    CrossRef  Google Scholar 

  8. Liu B, Bennett J, Wang G, et al. Completeness map evaluation demonstrated with candidate next-generation cardiac CT architectures. Med Phys. 2012;39(5):2405–16.

    CrossRef  Google Scholar 

  9. Saff EB, Kuijlaars ABJ. Distributing many points on a sphere. Math Intell. 1997;19(1):5–11.

    CrossRef  MATH  MathSciNet  Google Scholar 

  10. Maier A, Hofmann H, Berger M, et al. CONRAD: a software framework for conebeam imaging in radiology. Med Phys. 2013;40(11):111914–18.

    CrossRef  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Andreas Maier .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 2015 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Maier, A., Kugler, P., Lauritsch, G., Hornegger, J. (2015). Discrete Estimation of Data Completeness for 3D Scan Trajectories with Detector Offset. In: Handels, H., Deserno, T., Meinzer, HP., Tolxdorff, T. (eds) Bildverarbeitung für die Medizin 2015. Informatik aktuell. Springer Vieweg, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-46224-9_10

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-46224-9_10

  • Published:

  • Publisher Name: Springer Vieweg, Berlin, Heidelberg

  • Print ISBN: 978-3-662-46223-2

  • Online ISBN: 978-3-662-46224-9

  • eBook Packages: Computer Science and Engineering (German Language)