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Toward Optimal Matching for 3D Reconstruction of Brachytherapy Seeds

  • Christian Labat
  • Ameet Jain
  • Gabor Fichtinger
  • Jerry Prince
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4792)

Abstract

X-ray C-arm fluoroscopy is a natural choice for intra-operative seed localization in prostate brachytherapy. Resolving the correspondence of seeds in the projection images can be modeled as an assignment problem that is NP-hard. Our approach rests on the practical observation that the optimal solution has almost zero cost if the pose of the C-arm is known accurately. This allowed us to to derive an equivalent problem of reduced dimensionality that, with linear programming, can be solved efficiently in polynomial time. Additionally, our method demonstrates significantly increased robustness to C-arm pose errors when compared to the prior art. Because under actual clinical circumstances it is exceedingly difficult to track the C-arm, easing on this constraint has additional practical utility.

Keywords

Feasible Solution Dimensionality Reduction Optimal Match Prostate Brachytherapy Feasibility Rate 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    Jain, A., et al.: Matching and reconstruction of brachytherapy seeds using the hungarian algorithm (marshal). Med. Phys. 32(11), 3475–3492 (2005)CrossRefGoogle Scholar
  2. 2.
    Papadimitriou, C.H., Steiglitz, K.: Combinatorial optimization: algorithms and complexity. Prentice-Hall, Inc., Englewood Cliffs (1982)zbMATHGoogle Scholar
  3. 3.
    Bertsekas, D.: Nonlinear Programming. Athena Scientific, Belmont, USA (1999)Google Scholar
  4. 4.
    Jain, A., et al.: C-arm tracking and reconstruction without an external tracker. In: Larsen, R., Nielsen, M., Sporring, J. (eds.) MICCAI 2006. LNCS, vol. 4190, pp. 494–502. Springer, Heidelberg (2006)CrossRefGoogle Scholar
  5. 5.
    Su, Y., et al.: Prostate brachytherapy seed localization by analysis of multiple projections: Identifying and addressing the seed overlap problem. Med. Phys. 31(5), 1277–1287 (2004)CrossRefGoogle Scholar
  6. 6.
    Narayanan, S., et al.: Three-dimensional seed reconstruction from an incomplete data set for prostate brachytherapy. Phys. in Med. and Bio. 49(15), 3483–3494 (2004)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • Christian Labat
    • 1
  • Ameet Jain
    • 1
    • 3
  • Gabor Fichtinger
    • 1
  • Jerry Prince
    • 2
  1. 1.Department of Computer Science 
  2. 2.Department of Electrical and Computer Engineering, Johns Hopkins University, Baltimore, MD 21218USA
  3. 3.Philips Research North America, Briarcliff, NY 

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