Abstract
In this paper, we present an almost linear time algorithm for the problem of splitting an intensity map of radiation (represented as an integer matrix) into multiple subfields (submatrices), subject to a given maximum allowable subfield width, to minimize the total delivery error caused by the splitting. This problem arises in intensity-modulated radiation therapy (IMRT) for cancer treatments. This is the first field splitting result on minimizing the total delivery error of the splitting. Our solution models the problem as a shortest path problem on a directed layered graph, which satisfies the staircase Monge property. Consequently, the resulting algorithm runs in almost linear time and generates an optimal quality field splitting.
This research was supported in part by the National Science Foundation under Grant CCF-0515203 and NIH NIBIB Grant R01-EB004640-01A2.
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Chen, D.Z., Healy, M.A., Wang, C., Wu, X. (2007). A New Field Splitting Algorithm for Intensity-Modulated Radiation Therapy . In: Lin, G. (eds) Computing and Combinatorics. COCOON 2007. Lecture Notes in Computer Science, vol 4598. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73545-8_4
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DOI: https://doi.org/10.1007/978-3-540-73545-8_4
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