A unified approach for inversion problems in intensity-modulated radiation therapy
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Open Access
- 26 April 2006
- journal article
- research article
- Published by IOP Publishing in Physics in Medicine & Biology
- Vol. 51 (10), 2353-2365
- https://doi.org/10.1088/0031-9155/51/10/001
Abstract
We propose and study a unified model for handling dose constraints (physical dose, equivalent uniform dose (EUD), etc) and radiation source constraints in a single mathematical framework based on the split feasibility problem. The model does not impose on the constraints an exogenous objective (merit) function. The optimization algorithm minimizes a weighted proximity function that measures the sum of the squares of the distances to the constraint sets. This guarantees convergence to a feasible solution point if the split feasibility problem is consistent (i.e., has a solution), or, otherwise, convergence to a solution that minimally violates the physical dose constraints and EUD constraints. We present computational results that demonstrate the validity of the model and the power of the proposed algorithmic scheme.Keywords
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