Skip to main content
Log in

The effect on dose accumulation accuracy of inverse-consistency and transitivity error reduced deformation maps

  • Scientific Paper
  • Published:
Australasian Physical & Engineering Sciences in Medicine Aims and scope Submit manuscript

Abstract

It has previously been shown that deformable image registrations (DIRs) often result in deformation maps that are neither inverse-consistent nor transitive, and that the dose accumulation based on these deformation maps can be inconsistent if different image pathways are used for dose accumulation. A method presented to reduce inverse consistency and transitivity errors has been shown to result in more consistent dose accumulation, regardless of the image pathway selected for dose accumulation. The present study investigates the effect on the dose accumulation accuracy of deformation maps processed to reduce inverse consistency and transitivity errors. A set of lung 4DCT phases were analysed, consisting of four images on which a dose grid was created. Dose to 75 corresponding anatomical locations was manually tracked. Dose accumulation was performed between all image sets with Demons derived deformation maps as well as deformation maps processed to reduce inverse consistency and transitivity errors. The ground truth accumulated dose was then compared with the accumulated dose derived from DIR. Two dose accumulation image pathways were considered. The post-processing method to reduce inverse consistency and transitivity errors had minimal effect on the dose accumulation accuracy. There was a statistically significant improvement in dose accumulation accuracy for one pathway, but for the other pathway there was no statistically significant difference. A post-processing technique to reduce inverse consistency and transitivity errors has a positive, yet minimal effect on the dose accumulation accuracy. Thus the post-processing technique improves consistency of dose accumulation with minimal effect on dose accumulation accuracy.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

References

  1. Christensen GE, Johnson HJ (2001) Consistent image registration. IEEE Trans Med Imaging 20:568–582

    Article  PubMed  CAS  Google Scholar 

  2. Christensen GE, Johnson HJ (2001) Invertibility and transitivity analysis for nonrigid image registration. J Electron Imaging 12:106–117

    Article  Google Scholar 

  3. Bender ET, Tomé WA (2009) The utilization of consistency metrics for error analysis in deformable image registration. Phys Med Biol 54(18):5561

    Article  PubMed  PubMed Central  Google Scholar 

  4. Bender ET, Hardcastle N, Tomé WA (2012) On the dosimetric effect and reduction of inverse consistency and transitivity errors in deformable image registration for dose accumulation. Med Phys 39(1):5561

    Article  Google Scholar 

  5. Vercauteren T, Pennec X, Perchant A, Ayache N (2007) Diffeomorphic demons using ITK’s finite difference solver hierarchy. In: The Insight Journal—2007 MICCAI Open Science Workshop

  6. Vercauteren T, Pennec X, Perchant A, Ayache N (2009) Diffeomorphic demons: efficient non-parametric image registration. Neuroimage 45(1 Supp.):S61–S72

    Article  PubMed  Google Scholar 

  7. Castillo R, Castillo E, Guerra R, Johnson VE, McPhail T, Garg AK, Guerrero T (2009) A framework for evaluation of deformable image registration spatial accuracy using large landmark point sets. Phys Med Biol 54:1849–1870

    Article  PubMed  Google Scholar 

  8. Kashani R, Hub M, Balter JM, Kessler ML, Dong L, Zhang L, Lei Xing, Xie Y, Hawkes D, Schnabel JA, McClelland J, Joshi S, Chen Q, Lu W (2008) Objective assessment of deformable image registration in radiotherapy: a multi-institution study. Med Phys 35(12):5944–5953

    Article  PubMed  PubMed Central  Google Scholar 

  9. Yan C, Hugo G, Salguero FJ, Saleh-Sayah N, Weiss E, Sleeman WC, Siebers JV (2012) A method to evaluate dose errors introduced by dose mapping processes for mass conserving deformations. Med Phys 39(4):2119–2128

    Article  PubMed  CAS  PubMed Central  Google Scholar 

  10. Salguero FJ, Sale-Sayah NK, Yan C, Siebers JV (2010) Estimation of three-dimensional intrinsic dosimetric uncertainties resulting from using deformable image registration for dose mapping. Med Phys 38(1):343–353

    Article  PubMed Central  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Nicholas Hardcastle.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hardcastle, N., Bender, E.T. & Tomé, W.A. The effect on dose accumulation accuracy of inverse-consistency and transitivity error reduced deformation maps. Australas Phys Eng Sci Med 37, 321–326 (2014). https://doi.org/10.1007/s13246-014-0262-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13246-014-0262-0

Keywords

Navigation