Balancing Control and Simplicity: A Variable Aggregation Method in Intensity Modulated Radiation Therapy Planning

Overview

Journal Linear Algebra Appl

Date 2009 Mar 4

PMID 19255600

Authors

Philipp Suss

Karl-Heinz Kufer

Affiliations

Soon will be listed here.

Abstract

It is commonly believed that not all degrees of freedom are needed to produce good solutions for the treatment planning problem in intensity modulated radiation therapy (IMRT). However, typical methods to exploit this fact either increase the complexity of the optimization problem or are heuristic in nature. In this work we introduce a technique based on adaptively refining variable clusters to successively attain better treatment plans. The approach creates approximate solutions based on smaller models that may come arbitrarily close to the optimal solution. Although the method is illustrated using a specific treatment planning model, the components constituting the variable clustering and the adaptive refinement are independent of the particular optimization problem.

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