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Proceedings Paper

Matching and reconstruction of brachytherapy seeds using the Hungarian algorithm (MARSHAL)
Author(s): Ameet Kumar Jain; Yu Zhou; Tabish Mustufa; E. Clif Burdette; Gregory S. Chirikjian; Gabor Fichtinger
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Paper Abstract

Purpose: Intraoperative dosimetric quality assurance in prostate brachytherapy critically depends on discerning the 3D locations of implanted seeds. The ability to reconstruct the implanted seeds intraoperatively will allow us to make immediate provisions for dosimetric deviations from the optimal implant plan. A method for seed reconstruction from segmented C-arm fluoroscopy images is proposed. Method: The 3D coordinates of the implanted seeds can be calculated upon resolving the correspondence of seeds in multiple X-ray images. We formalize seed-matching as a network flow problem, which has salient features: (a) extensively studied exact solutions, (b) performance claims on the space-time complexity, (c) optimality bounds on the final solution. A fast implementation is realized using the Hungarian algorithm. Results: We prove that two images can correctly match only about 67% of the seeds, and that a third image renders the matching problem to be of non-polynomial complexity. We utilize the special structure of the problem and propose a pseudo-polynomial time algorithm. Using three images, MARSHAL achieved 100% matching in simulation experiments; and 98.5% in phantom experiments. 3D reconstruction error for correctly matched seeds has a mean of 0:63 mm, and 0:91 mm for incorrectly matched seeds. Conclusion: Both on synthetic data and in phantom experiments, matching rate and reconstruction accuracy were found to be sufficient for prostate brachytherapy. The algorithm is extendable to deal with arbitrary number of images without loss in speed or accuracy. The algorithm is sufficiently generic to be used for establishing correspondences across any choice of features in different imaging modalities.

Paper Details

Date Published: 12 April 2005
PDF: 12 pages
Proc. SPIE 5744, Medical Imaging 2005: Visualization, Image-Guided Procedures, and Display, (12 April 2005); doi: 10.1117/12.595825
Show Author Affiliations
Ameet Kumar Jain, Johns Hopkins Univ. (United States)
Yu Zhou, Johns Hopkins Univ. (United States)
Tabish Mustufa, Johns Hopkins Univ. (United States)
E. Clif Burdette, Computerized Medical Systems, Inc. (United States)
Gregory S. Chirikjian, Johns Hopkins Univ. (United States)
Gabor Fichtinger, Johns Hopkins Univ. (United States)

Published in SPIE Proceedings Vol. 5744:
Medical Imaging 2005: Visualization, Image-Guided Procedures, and Display
Robert L. Galloway Jr.; Kevin R. Cleary, Editor(s)

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