[1] |
Bortfeld T, Bürkelbach J, Boesecke R, et al. Methods of image reconstruction from projections applied to conformation radiotherapy. Physics in Medicine & Biology, 1990, 35(10): 1423-1434.
|
[2] |
Pugachev A, Li J G, Boyer A L, et al. Role of beam orientation optimization in intensity-modulated radiation therapy. International Journal of Radiation Oncology·Biology·Physics, 2001, 50(2): 551-560.
|
[3] |
Bortfeld T. The number of beams in IMRT—theoretical investigations and implications for single-arc IMRT. Physics in Medicine & Biology, 2010, 55(1): 83-97.
|
[4] |
Sultan A, Saher A. Optimization of Beam Orientation in Intensity Modulated Radiation Therapy Planning. Kaiserslautern, Germany: Technical University of Kaiserslautern, 2006.
|
[5] |
Liu H, Dong P, Xing L. A new sparse optimization scheme for simultaneous beam angle and fluence map optimization in radiotherapy planning. Physics in Medicine & Biology, 2017, 62(16): 6428-6445.
|
[6] |
Bangert M, Unkelbach J. Accelerated iterative beam angle selection in IMRT. Medical Physics, 2016, 43(3): 1073-1082.
|
[7] |
Stein J, Mohan R, Wang X H, et al. Number and orientations of beams in intensity‐modulated radiation treatments. Medical Physics, 1997, 24(2): 149-160.
|
[8] |
Bortfeld T. IMRT: a review and preview. Physics in Medicine & Biology, 2006, 51(13): R363-R379.
|
[9] |
Yang R J, Dai J R, Yang Y, et al. Beam orientation optimization for intensity-modulated radiation therapy using mixed integer programming. Physics in Medicine & Biology, 2006, 51(15): 3653-3666.
|
[10] |
Bortfeld T, Schlegel W. Optimization of beam orientations in radiation therapy: some theoretical considerations. Physics in Medicine & Biology, 1993, 38(2): 291-304.
|
[11] |
Xing L, Pugachev A, Li J, et al. 190 A medical knowledge based system for the selection of beam orientations in intensity-modulated radiation therapy (IMRT). International Journal of Radiation Oncology·Biology·Physics, 1999, 45(3): 246-247.
|
[12] |
Pugachev A, Xing L. Incorporating prior knowledge into beam orientaton optimization in IMRT. International Journal of Radiation Oncology·Biology·Physics, 2002, 54(5): 1565-1574.
|
[13] |
Rowbottom C G, Nutting C M, Webb S. Beam-orientation optimization of intensity-modulated radiotherapy: clinical application to parotid gland tumours. Radiotherapy and Oncology, 2001, 59(2): 169-177.
|
[14] |
Breedveld S, Storchi P R M, Voet P W J, et al. iCycle: Integrated, multicriterial beam angle, and profile optimization for generation of coplanar and noncoplanar IMRT plans. Medical Physics, 2012, 39(2): 951-963.
|
[15] |
Woudstra E, Storchi P R M. Constrained treatment planning using sequential beam selection. Physics in Medicine & Biology, 2000, 45(8): 2133-2149.
|
[16] |
D'Souza W D, Meyer R R, Shi L. Selection of beam orientations in intensity-modulated radiation therapy using single-beam indices and integer programming. Physics in Medicine & Biology, 2004, 49(15): 3465-3481.
|
[17] |
Meedt G, Alber M, Nüsslin F. Non-coplanar beam direction optimization for intensity-modulated radiotherapy. Physics in Medicine & Biology, 2003, 48(18): 2999-3019.
|
[18] |
Pugachev A, Xing L. Pseudo beam’s-eye-view as applied to beam orientation selection in intensity-modulated radiation therapy. International Journal of Radiation Oncology·Biology·Physics, 2001, 51(5): 1361-1370.
|
[19] |
Djajaputra D, Wu Q, Wu Y, et al. Algorithm and performance of a clinical IMRT beam-angle optimization system. Physics in Medicine & Biology, 2003, 48(19): 3191-3212.
|
[20] |
Hou Q, Wang J, Chen Y, et al. Beam orientation optimization for IMRT by a hybrid method of the genetic algorithm and the simulated dynamics. Medical Physics, 2003, 30(9): 2360-2367.
|
[21] |
Li Y J, Yao J, Yao D Z. Automatic beam angle selection in IMRT planning using genetic algorithm. Physics in Medicine & Biology, 2004, 49(10): 1915-1932.
|
[22] |
Li Y J, Yao D Z, Yao J, et al. A particle swarm optimization algorithm for beam angle selection in intensity-modulated radiotherapy planning. Physics in Medicine & Biology, 2005, 50(15):3491-3514.
|
[23] |
Schreibmann E, Lahanas M, Xing L, et al. Multiobjective evolutionary optimization of the number of beams, their orientations and weights for intensity-modulated radiation therapy. Physics in Medicine & Biology, 2004, 49(5): 747-770.
|
[24] |
Schreibmann E, Xing L. Feasibility study of beam orientation class‐solutions for prostate IMRT. Medical Physics, 2004, 31(10): 2863-2870.
|
[25] |
Ezzell G A. Genetic and geometric optimization of three‐dimensional radiation therapy treatment planning. Medical Physics, 1996, 23(3): 293-305.
|
[26] |
Zhu L, Lee L, Ma Y, et al. Using total-variation regularization for intensity modulated radiation therapy inverse planning with field-specific numbers of segments. Physics in Medicine & Biology, 2008, 53(23): 6653-6672.
|
[27] |
Zhu L, Xing L. Search for IMRT inverse plans with piecewise constant fluence maps using compressed sensing techniques. Medical Physics, 2009, 36(5): 1895-1905.
|
[28] |
Jia X, Men C, Lou Y, et al. Beam orientation optimization for intensity modulated radiation therapy using adaptive l2, 1-minimization. Physics in Medicine & Biology, 2011, 56(19): 6205-6222.
|
[29] |
Yuan M, Lin Y. Model selection and estimation in regression with grouped variables. Journal of the Royal Statistical Society: Series B (Statistical Methodology), 2006, 68: 49-67.
|
[30] |
Bach F, Jenatton R, Mairal J, et al. Optimization with sparsity-inducing penalties. Foundations and Trends© in Machine Learning, 2012, 4(1): 1-106.
|
[31] |
Simon N, Friedman J, Hastie T, et al. A sparse-group lasso. Journal of Computational and Graphical Statistics, 2013, 22(2): 231-245.
|
[32] |
Meier L, Van De Geer S, Bühlmann P. The group lasso for logistic regression. Journal of the Royal Statistical Society: Series B (Statistical Methodology), 2008, 70(1): 53-71.
|
[33] |
Bach F R. Consistency of the group lasso and multiple kernel learning. The Journal of Machine Learning Research, 2008, 9: 1179-1225.
|
[34] |
Huang J, Zhang T. The benefit of group sparsity. The Annals of Statistics, 2010, 38(4): 1978-2004.
|
[35] |
O’Connor D, Yu V, Nguyen D, et al. Fraction-variant beam orientation optimization for non-coplanar IMRT. Physics in Medicine & Biology, 2018, 63(4): 045015.
|
[36] |
Kawrakow I. Improved modeling of multiple scattering in the Voxel Monte Carlo model. Medical Physics, 1997, 24(4): 505-517.
|
[37] |
Xing L, Li J G, Donaldson S, et al. Optimization of importance factors in inverse planning. Physics in Medicine & Biology, 1999, 44(10): 2525-2536.
|
[38] |
Bortfeld T. Optimized planning using physical objectives and constraints. Seminars in Radiation Oncology, 1999, 9(1): 20-34.
|
[39] |
Bortfeld T R, Kahler D L, Waldron T J, et al. X-ray field compensation with multileaf collimators. International Journal of Radiation Oncology·Biology·Physics, 1994, 28(3): 723-730.
|
[40] |
Zhu L, Niu T, Petrongolo M. Iterative CT reconstruction via minimizing adaptively reweighted total variation. Journal of X-ray Science and Technology, 2014, 22(2): 227-240.
|
[41] |
Candès E J, Wakin M B, Boyd S P. Enhancing sparsity by reweighted l1 minimization. Journal of Fourier analysis and applications, 2008, 14: 877-905.
|
[42] |
Grant M, Boyd S, Ye Y. CVX: Matlab software for disciplined convex programming. http://cvxr.com/cvx/. (Continued on p.627)
|
[1] |
Bortfeld T, Bürkelbach J, Boesecke R, et al. Methods of image reconstruction from projections applied to conformation radiotherapy. Physics in Medicine & Biology, 1990, 35(10): 1423-1434.
|
[2] |
Pugachev A, Li J G, Boyer A L, et al. Role of beam orientation optimization in intensity-modulated radiation therapy. International Journal of Radiation Oncology·Biology·Physics, 2001, 50(2): 551-560.
|
[3] |
Bortfeld T. The number of beams in IMRT—theoretical investigations and implications for single-arc IMRT. Physics in Medicine & Biology, 2010, 55(1): 83-97.
|
[4] |
Sultan A, Saher A. Optimization of Beam Orientation in Intensity Modulated Radiation Therapy Planning. Kaiserslautern, Germany: Technical University of Kaiserslautern, 2006.
|
[5] |
Liu H, Dong P, Xing L. A new sparse optimization scheme for simultaneous beam angle and fluence map optimization in radiotherapy planning. Physics in Medicine & Biology, 2017, 62(16): 6428-6445.
|
[6] |
Bangert M, Unkelbach J. Accelerated iterative beam angle selection in IMRT. Medical Physics, 2016, 43(3): 1073-1082.
|
[7] |
Stein J, Mohan R, Wang X H, et al. Number and orientations of beams in intensity‐modulated radiation treatments. Medical Physics, 1997, 24(2): 149-160.
|
[8] |
Bortfeld T. IMRT: a review and preview. Physics in Medicine & Biology, 2006, 51(13): R363-R379.
|
[9] |
Yang R J, Dai J R, Yang Y, et al. Beam orientation optimization for intensity-modulated radiation therapy using mixed integer programming. Physics in Medicine & Biology, 2006, 51(15): 3653-3666.
|
[10] |
Bortfeld T, Schlegel W. Optimization of beam orientations in radiation therapy: some theoretical considerations. Physics in Medicine & Biology, 1993, 38(2): 291-304.
|
[11] |
Xing L, Pugachev A, Li J, et al. 190 A medical knowledge based system for the selection of beam orientations in intensity-modulated radiation therapy (IMRT). International Journal of Radiation Oncology·Biology·Physics, 1999, 45(3): 246-247.
|
[12] |
Pugachev A, Xing L. Incorporating prior knowledge into beam orientaton optimization in IMRT. International Journal of Radiation Oncology·Biology·Physics, 2002, 54(5): 1565-1574.
|
[13] |
Rowbottom C G, Nutting C M, Webb S. Beam-orientation optimization of intensity-modulated radiotherapy: clinical application to parotid gland tumours. Radiotherapy and Oncology, 2001, 59(2): 169-177.
|
[14] |
Breedveld S, Storchi P R M, Voet P W J, et al. iCycle: Integrated, multicriterial beam angle, and profile optimization for generation of coplanar and noncoplanar IMRT plans. Medical Physics, 2012, 39(2): 951-963.
|
[15] |
Woudstra E, Storchi P R M. Constrained treatment planning using sequential beam selection. Physics in Medicine & Biology, 2000, 45(8): 2133-2149.
|
[16] |
D'Souza W D, Meyer R R, Shi L. Selection of beam orientations in intensity-modulated radiation therapy using single-beam indices and integer programming. Physics in Medicine & Biology, 2004, 49(15): 3465-3481.
|
[17] |
Meedt G, Alber M, Nüsslin F. Non-coplanar beam direction optimization for intensity-modulated radiotherapy. Physics in Medicine & Biology, 2003, 48(18): 2999-3019.
|
[18] |
Pugachev A, Xing L. Pseudo beam’s-eye-view as applied to beam orientation selection in intensity-modulated radiation therapy. International Journal of Radiation Oncology·Biology·Physics, 2001, 51(5): 1361-1370.
|
[19] |
Djajaputra D, Wu Q, Wu Y, et al. Algorithm and performance of a clinical IMRT beam-angle optimization system. Physics in Medicine & Biology, 2003, 48(19): 3191-3212.
|
[20] |
Hou Q, Wang J, Chen Y, et al. Beam orientation optimization for IMRT by a hybrid method of the genetic algorithm and the simulated dynamics. Medical Physics, 2003, 30(9): 2360-2367.
|
[21] |
Li Y J, Yao J, Yao D Z. Automatic beam angle selection in IMRT planning using genetic algorithm. Physics in Medicine & Biology, 2004, 49(10): 1915-1932.
|
[22] |
Li Y J, Yao D Z, Yao J, et al. A particle swarm optimization algorithm for beam angle selection in intensity-modulated radiotherapy planning. Physics in Medicine & Biology, 2005, 50(15):3491-3514.
|
[23] |
Schreibmann E, Lahanas M, Xing L, et al. Multiobjective evolutionary optimization of the number of beams, their orientations and weights for intensity-modulated radiation therapy. Physics in Medicine & Biology, 2004, 49(5): 747-770.
|
[24] |
Schreibmann E, Xing L. Feasibility study of beam orientation class‐solutions for prostate IMRT. Medical Physics, 2004, 31(10): 2863-2870.
|
[25] |
Ezzell G A. Genetic and geometric optimization of three‐dimensional radiation therapy treatment planning. Medical Physics, 1996, 23(3): 293-305.
|
[26] |
Zhu L, Lee L, Ma Y, et al. Using total-variation regularization for intensity modulated radiation therapy inverse planning with field-specific numbers of segments. Physics in Medicine & Biology, 2008, 53(23): 6653-6672.
|
[27] |
Zhu L, Xing L. Search for IMRT inverse plans with piecewise constant fluence maps using compressed sensing techniques. Medical Physics, 2009, 36(5): 1895-1905.
|
[28] |
Jia X, Men C, Lou Y, et al. Beam orientation optimization for intensity modulated radiation therapy using adaptive l2, 1-minimization. Physics in Medicine & Biology, 2011, 56(19): 6205-6222.
|
[29] |
Yuan M, Lin Y. Model selection and estimation in regression with grouped variables. Journal of the Royal Statistical Society: Series B (Statistical Methodology), 2006, 68: 49-67.
|
[30] |
Bach F, Jenatton R, Mairal J, et al. Optimization with sparsity-inducing penalties. Foundations and Trends© in Machine Learning, 2012, 4(1): 1-106.
|
[31] |
Simon N, Friedman J, Hastie T, et al. A sparse-group lasso. Journal of Computational and Graphical Statistics, 2013, 22(2): 231-245.
|
[32] |
Meier L, Van De Geer S, Bühlmann P. The group lasso for logistic regression. Journal of the Royal Statistical Society: Series B (Statistical Methodology), 2008, 70(1): 53-71.
|
[33] |
Bach F R. Consistency of the group lasso and multiple kernel learning. The Journal of Machine Learning Research, 2008, 9: 1179-1225.
|
[34] |
Huang J, Zhang T. The benefit of group sparsity. The Annals of Statistics, 2010, 38(4): 1978-2004.
|
[35] |
O’Connor D, Yu V, Nguyen D, et al. Fraction-variant beam orientation optimization for non-coplanar IMRT. Physics in Medicine & Biology, 2018, 63(4): 045015.
|
[36] |
Kawrakow I. Improved modeling of multiple scattering in the Voxel Monte Carlo model. Medical Physics, 1997, 24(4): 505-517.
|
[37] |
Xing L, Li J G, Donaldson S, et al. Optimization of importance factors in inverse planning. Physics in Medicine & Biology, 1999, 44(10): 2525-2536.
|
[38] |
Bortfeld T. Optimized planning using physical objectives and constraints. Seminars in Radiation Oncology, 1999, 9(1): 20-34.
|
[39] |
Bortfeld T R, Kahler D L, Waldron T J, et al. X-ray field compensation with multileaf collimators. International Journal of Radiation Oncology·Biology·Physics, 1994, 28(3): 723-730.
|
[40] |
Zhu L, Niu T, Petrongolo M. Iterative CT reconstruction via minimizing adaptively reweighted total variation. Journal of X-ray Science and Technology, 2014, 22(2): 227-240.
|
[41] |
Candès E J, Wakin M B, Boyd S P. Enhancing sparsity by reweighted l1 minimization. Journal of Fourier analysis and applications, 2008, 14: 877-905.
|
[42] |
Grant M, Boyd S, Ye Y. CVX: Matlab software for disciplined convex programming. http://cvxr.com/cvx/. (Continued on p.627)
|