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Computing Tumour Coverage as a Result of Respiratory Motion during Radiotherapy Treatment

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4 Author(s)
Chen, J. ; Carleton Univ., Ottawa, Ont. ; Lanthier, M. ; MacPherson, M. ; Nussbaum, D.

The objective of radiotherapy treatment is to kill cancerous cells while minimizing damage to surrounding healthy tissues. The tumour location uncertainty "forces" oncologists to prescribe a larger treatment area than required in order to ensure that the whole tumour is receiving the prescribed dose. The problem is more acute when a tumour can move during treatment, e.g., as a result of breathing. In this paper, we present an algorithm for computing the area covered by a tumor as a result of a cyclic motion during treatment. Our algorithm solves the following geometric problem: Given an n-vertices convex polygon P = {v1, v2, ..., vn}, a monotone chain C = {c1, c2, ..., Cm}, compute a minimums area polygon Q that includes all the space covered by P as it is translated along C such that v1isin P touches C. Here, we present a simple algorithm when P is a convex polygon. Our algorithm takes O(mn + m logn log(m + n)) time in the worst case

Published in:

Information Technology and Applications, 2005. ICITA 2005. Third International Conference on  (Volume:2 )

Date of Conference:

4-7 July 2005