The Least-Intensity Feasible Solution for Aperture-Based Inverse Planning in Radiation Therapy |
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Authors: | Y Xiao D Michalski JM Galvin Y Censor |
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Institution: | (1) Medical Physics Division, Radiation Oncology Department, Thomas Jefferson University Hospital, 10th and Locust Streets, Philadelphia, PA 19107, USA;(2) Department of Mathematics, University of Haifa, Mt. Carmel, Haifa, 31905, Israel |
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Abstract: | Aperture-based inverse planning (ABIP) for intensity modulated radiation therapy (IMRT) treatment planning starts with external radiation fields (beams) that fully conform to the target(s) and then superimposes sub-fields called segments to achieve complex shaping of 3D dose distributions. The segments' intensities are determined by solving a feasibility problem. The least-intensity feasible (LIF) solution, proposed and studied here, seeks a feasible solution closest to the origin, thus being of least intensity or least energy. We present a new iterative, primal–dual, algorithm for finding the LIF solution and explain our experimental observation that Cimmino's algorithm for feasibility actually converges to a close approximation of the LIF solution. Comparison with linear programming shows that Cimmino's algorithm has the additional advantage of generating much smoother solutions. |
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