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A New Field Splitting Algorithm for Intensity-Modulated Radiation Therapy
Conference proceeding

A New Field Splitting Algorithm for Intensity-Modulated Radiation Therapy

Danny Z Chen, Mark A Healy, Chao Wang and Xiaodong Wu
Computing and Combinatorics, pp.4-15
Lecture Notes in Computer Science, 4598
2007
DOI: 10.1007/978-3-540-73545-8_4

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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.
Short Path Problem Linear Time Algorithm Short Path Intensity Modulate Radiation Directed Acyclic Graph

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