Accelerated IMRT plan optimization using the adaptive clustering method

Linear Algebra and Its Applications

Volumn 428, Issue 5-6, 2008, Pages 1250-1271

  Scherrer, Alexander ^a   Küfer, Karl Heinz ^a  

^a FRAUNHOFER INSTITUTE FOR INDUSTRIAL MATHEMATICS ITWM   (Germany)

Author keywords

Agglomerative hierarchical clustering methods; Aggregation methods in large scale optimization; Intensity modulated radiation therapy (IMRT) plan optimization; Sensitivity analysis of nonlinear optimization problems

Indexed keywords

CLUSTERING ALGORITHMS; HIERARCHICAL SYSTEMS; NONLINEAR SYSTEMS; OPTIMIZATION; SENSITIVITY ANALYSIS;

AGGREGATION METHODS; INTENSITY-MODULATED RADIATION THERAPY (IMRT); PLAN OPTIMIZATION;

RADIOTHERAPY;

EID: 38149107668     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2007.03.025     Document Type: Article

References (11)

1. Zakarian C., and Deasy J.O. Beamlet dose distribution compression and reconstruction using wavelets for intensity modulated treatment planning. Med. Phys. 31 2 (2004) 368-375
2. Alexander Scherrer. Adaptive approximation of nonlinear minimization problems-the adaptive clustering method in inverse radiation therapy planning. Ph.D. thesis, Technical University of Kaiserslautern, Germany, 2006. Published by Shaker-Verlag, Aachen, Germany.
3. Edwin Romeijn H., Dempsey J.F., and Li J.G. A unifying framework for multi-criteria fluence map optimization models. Phys. Med. Biol. 49 (2004) 1991-2013
4. Niemierko A. A generalized concept of equivalent uniform dose (EUD). Med. Phys. 26 1 (1999) 1100
5. Berge C. Topological Spaces (1963), Macmillan, New York
6. Robinson S.M., and Day R.H. A sufficient condition for continuity of optimal sets in mathematical programming. J. Math. Anal. Appl. 45 (1974) 506-511
7. Shapiro A. Perturbation theory of nonlinear programs when the set of optimal solutions is not a singleton. Appl. Math. Optimiz. 18 3 (1988) 215-229
8. Bazaraa M., Sherali H.D., and Shetty C.M. Nonlinear Programming-Theory and Algorithms (1993), John Wiley & Sons, Inc.
9. Hiriart-Urruty J.-B., and Lemaréchal C. Convex Analysis and Minimization Algorithms I. Grundlagen der mathematischen Wissenschaften vol. 305 (1993), Springer-Verlag
10. Gordon A.D. Classification. Monography on Applied Probability and Statistics (1982), Chapman and Hall
11. Multicriteria Interactive Radiotherapy Assistant (MIRA), www.project-mira.net.