Binary level-set shape optimization model and algorithm for volumetric modulated arc therapy in radiotherapy treatment

Li Tien Cheng, Bin Dong, Chunhua Men, Xun Jia, Steve Jiang

Research output: Contribution to journalArticle

5 Scopus citations


We introduce, in this paper, a variational framework for the construction of improved treatment plans in volumetric modulated arc therapy for cancer treatment. This framework consists of a shape optimization component, from the molding of beam shapes, as well as strong constraints, from the equipment involved, on both beam shapes and intensities. We apply the binary level-set method, to handle complex shape topologies, and the fast sweeping method, to handle beam intensity constraints. The result is a fast, flow-based algorithm, in a simplified setting, that guarantees energy decrease. We include numerical simulations of clinical cases to demonstrate the efficacy of the approach.

Original languageEnglish (US)
JournalSIAM Journal on Scientific Computing
Issue number6
StatePublished - 2013



  • Cancer radiotherapy
  • Fast sweeping method
  • Level-set method
  • Shape optimization
  • Variational method
  • Volumetric modulated arc therapy

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics

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