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Optimal Terrain Construction Problems and Applications in Intensity-Modulated Radiation Therapy

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Book cover Algorithms — ESA 2002 (ESA 2002)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2461))

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Abstract

In this paper, we study several rectilinear terrain construction problems, which model leaf sequencing problems in intensitymodulated radiation therapy (IMRT). We present a novel unified approach based on geometric techniques for solving these terrain construction problems. Our approach leads to the first algorithms for several leaf sequencing problems in IMRT that are practically fast and guarantee the optimal quality of the output solutions. Our implementation results show that our terrain construction algorithms run very fast on real medical data.

This research was supported in part by the NSF under Grant CCR-9988468. The contact information of Chen, Hu, Luan, and Wu is Department of Computer Science and Engineering, University of Notre Dame, Notre Dame, IN 46556, USA. chen,shu,sluan,xwu@cse.nd.edu. The contact information of Yu is Department of Radiation Oncology, University of Maryland School of Medicine, Baltimore, MD 21201-1595, USA. cyu002@umaryland.edu.

The work of this author was supported in part by the NSF under Grant MIP- 9701416.

Corresponding author. The work of this author was supported in part by a fellowship from the Center for Applied Mathematics, University of Notre Dame.

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Authors
  1. Danny Z. Chen
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  2. Xiaobo S. Hu
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  3. Shuang Luan
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  4. Xiaodong Wu
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  5. Cedric X. Yu
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Editor information

Editors and Affiliations

  1. Fakultät II: Mathematik und Naturwissenschaften, Technische Universität Berlin, Strasse des 17. Juni 136, 10623, Berlin, Germany

    Rolf Möhring

  2. Department of Mathematics and Computer Science, University of Leicester, University Road, LE1 7RH, Leicester, UK

    Rajeev Raman

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© 2002 Springer-Verlag Berlin Heidelberg

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Chen, D.Z., Hu, X.S., Luan, S., Wu, X., Yu, C.X. (2002). Optimal Terrain Construction Problems and Applications in Intensity-Modulated Radiation Therapy. In: Möhring, R., Raman, R. (eds) Algorithms — ESA 2002. ESA 2002. Lecture Notes in Computer Science, vol 2461. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45749-6_27

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  • DOI: https://doi.org/10.1007/3-540-45749-6_27

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-44180-9

  • Online ISBN: 978-3-540-45749-7

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