Yair Censor

My work in the field of Intensity-Modulated Radiation Therapy (IMRT). The paper [35] seems to be the first archival, peer-reviewed, publication on algebraic inverse planning in the field of IMRT. The paper [37] is the first archival, peer-reviewed, publication on the use of Cimmino's algorithm in IMRT. See details below.

Some publications (including all from 1997 onward) are available below. The serial numbers conform with those in my current list of publications. For copies of others please send me an e-mail. Copyright notice: Downloads are supplied for personal academic use only. A download is considered equivalent to a pre-print or re-print request. Use is granted consistent with fair-use of a pre-print or re-print. By downloading the following materials you are agreeing to these terms.

Research Articles in Refereed Journals, Book Collections and Conference Proceedings

[24] M.D. Altschuler and Y. Censor, Feasibility solutions in radiation therapy treatment planning, in: Proceedings of the Eighth International Conference on the Use of Computers in Radiation Therapy, IEEE Computer Society Press, Silver Spring, Maryland, USA, 1984, pp. 220-224. E-reprint of published paper PDF (353KB) file.

[26] M.D. Altschuler, W.D. Powlis and Y. Censor, Teletherapy treatment planning with physician requirements included in the calculation: I. Concepts and methodology, in: Optimization of Cancer Radiotherapy (B.R. Paliwal, D.E. Herbert and C.G. Orton, Editors), American Institute of Physics, New York, NY, USA, 1985, pp, 443-452.

[27] W.D. Powlis, M.D. Altschuler and Y. Censor, Teletherapy treatment planning with physician requirements included in the calculation: II. Clinical applications, in: Optimization of Cancer Radiotherapy, (B.R. Paliwal, D.E. Herbert and C.G. Orton, Editors), American Institute of Physics, New York, NY, USA, 1985, pp. 453-461.

[31] Y. Censor, W.D. Powlis and M.D. Altschuler, On the fully discretized model for the inverse problem of radiation therapy treatment planning, in: Proceedings of the Thirteenth Annual Northeast Bioengineering Conference, (K.R. Foster, Editor), Institute of Electrical and Electronics Engineers (IEEE), New York, NY, USA, Vol. 1 (1987), pp. 211-214. E-reprint of published paper PDF (101KB) file.

[35] Y. Censor, M.D. Altschuler and W.D. Powlis, A computational solution of the inverse problem in radiation-therapy treatment planning, Applied Mathematics and Computation, Vol. 25, pp. 57-87, (1988). E-reprint of published paper available upon request.

The publication history of this paper is not printed on the paper. The paper was submitted for publication in this journal on September 11, 1985, and was accepted for publication on November 4, 1986. It appeared in Volume 25, Issue 1, January 1988. Click here for documentation.

[36] Y. Censor, M.D. Altschuler, W.D. Powlis and M.M. Kligerman, Combining plans in radiotherapy treatment planning, Mathematical and Computer Modelling, Vol. 11, pp. 1035-1037, (1988).

[37] Y. Censor, M.D. Altschuler and W.D. Powlis, On the use of Cimmino's simultaneous projections method for computing a solution of the inverse problem in radiation therapy treatment planning, Inverse Problems, Vol. 4, pp. 607-623, (1988). E-reprint of published paper available upon request.

The publication history of this paper, as it appears on the paper, is as follows: Received 23 September 1987, in final form 9 February 1988. It appeared in Volume 4, Issue 3, August 1988.

[38] Y. Censor, On the selective use of iterative algorithms for inversion problems in image reconstruction and radio-therapy, in: Proceedings of the 12th World Congress on Scientific Computation - IMACS 1988, (R. Vichnevetsky, P. Borne and J. Vignes, Editors), Gerfidn, Paris, France, Vol. 4, pp. 563-565, (1988).

[39] Y. Censor, Parallel application of block-iterative methods in medical imaging and radiation therapy, Mathematical Programming, Vol. 42, pp. 307-325, (1988).

[41] W.D. Powlis, M.D. Altschuler, Y. Censor and E.L. Buhle, Semi-automated radiotherapy treatment planning with a mathematical model to satisfy treatment goals, International Journal Radiation Oncology Biology Physics, Vol. 16, pp. 271-276, (1989).

[43] Y. Censor and S.C. Shwartz, An iterative approach to plan combination in radiotherapy, International Journal of Bio-Medical Computing, Vol. 24, pp. 191-205, (1989).

[55] M.D. Altschuler, Y. Censor and W.D. Powlis, Feasibility and optimization methods in teletherapy planning, in: Advances in Radiation Oncology Physics: Dosimetry, Treatment Planning and Brachytherapy, (J.A. Purdy, Editor), Medical Physics Monograph No. 19, American Association of Physicists in Medicine (AAPM), American Institute of Physics, Woodbury, NY, USA, 1992, pp. 1022-1057.

[**] Y. Censor and S.A. Zenios, Parallel Optimization: Theory, Algorithms, and Applications, Oxford University Press, New York, NY, USA, 1997 (576pp., ISBN 0-19-510062-X). Chapter 11: "The Inverse Problem in Radiation Therapy Treatment Planning."

[66] Y. Censor, Mathematical aspects of radiation therapy treatment planning: Continuous inversion versus full discretization and optimization versus feasibility, in: Computational Radiology and Imaging: Therapy and Diagnosis, C. Börgers and F. Natterer (Editors), The IMA Volumes in Mathematics and its Applications, Vol. 110, Springer-Verlag, New York, NY, USA, 1999, pp. 101-112. DOI:10.1007/978-1-4612-1550-9_6. Final version preprint PDF (227KB) file.

[**] J.M. Galvin, Y. Xiao, Y. Chen, G. Bednarz, D. Michalski, Y. Censor, C. Houser, M. Hossain and M.S. Huq, The optimization of inverse planning and IMRT, presented at the 44th AAPM (American Association of Physicists in Medicine) Annual Meeting, Montreal, Canada, July 14-18, 2002. Full paper PDF (341KB) file, or click here.

[80] Y. Xiao, Y. Censor, D. Michalski and J.M. Galvin, The least-intensity feasible solution for aperture-based inverse planning in radiation therapy, Annals of Operations Research, Vol. 119, pp. 183-203, (2003). DOI:10.1023/A:1022990724772. E-reprint of published paper PDF (786KB) file.

[82] Y. Censor, Mathematical optimization for the inverse problem of intensity modulated radiation therapy, in: J.R. Palta and T.R. Mackie (Editors), Intensity-Modulated Radiation Therapy: The State of The Art, American Association of Physicists in Medicine, Medical Physics Monograph No. 29, Medical Physics Publishing, Madison, Wisconsin, USA, 2003, pp. 25-49. Final version preprint PDF (130KB) file. E-reprint of published paper available upon request.

[86] D. Michalski, Y. Xiao, Y. Censor and J.M. Galvin, The dose-volume constraint satisfaction problem for inverse treatment planning with field segments, Physics in Medicine and Biology, Vol. 49, pp. 601-616, (2004). DOI:10.1088/0031-9155/49/4/010. Final version preprint PDF (425KB) file. E-reprint of published paper available upon request. Nominated to "Highlights of 2004", a collection of 26 best papers, out of ca. 420 papers and notes, published in this journal in the year 2004.

[87] Y. Xiao, D. Michalski, Y. Censor and J.M. Galvin, Inherent smoothness of intensity patterns for intensity modulated radiation therapy generated by simultaneous projection algorithms, Physics in Medicine and Biology, Vol. 49, pp. 3227-3245, (2004). DOI:10.1088/0031-9155/49/14/015. Final version preprint PDF (1.12MB) file. E-reprint of published paper available upon request.

[95] Y. Censor, T. Bortfeld, B. Martin and A. Trofimov, A unified approach for inversion problems in intensity-modulated radiation therapy, Physics in Medicine and Biology, Vol. 51, pp. 2353-2365, (2006). DOI:10.1088/0031-9155/51/10/001. Final version preprint PDF (237KB) file. E-reprint of published paper available upon request. Available from IOP Select for one year from online publication. Nominated to "Highlights of 2006", a collection of 25 best papers, out of 520 papers, published in this journal in the year 2006.

[97] Y. Censor, J.M. Galvin, M. Langer and Y. Xiao, Preface: Linear and Nonlinear Models and Algorithms in Intensity-Modulated Radiation Therapy (IMRT), Linear Algebra and Its Applications, Vol. 428, pp. 1203-1206, (2008). DOI:10.1016/j.laa.2007.09.033. E-reprint of published paper available upon request. Final version preprint PDF (231KB) file.

[98] Y. Censor, A. Ben-Israel, Y. Xiao and J.M. Galvin, On linear infeasibility arising in intensity-modulated radiation therapy inverse planning, Linear Algebra and Its Applications, Vol. 428, pp. 1406-1420, (2008). E-reprint of published paper available upon request. Final version preprint PDF (357KB) file.

[**] Y. Censor, J.M. Galvin, M. Langer and Y. Xiao (Editors), Linear and Nonlinear Models and Algorithms in Intensity-Modulated Radiation Therapy, Special Issue of the Journal Linear Algebra and Its Applications (LAA), by Elsevier Science Publishing Company, New York, NY, USA, Volume 428, Issues 5-6, Pages 1203-1420, 2008. Elsevier's ScienceDirect.

[**] Y. Censor, M. Jiang and A.K. Louis (Editors), Mathematical Methods in Biomedical Imaging and Intensity-Modulated Radiation Therapy (IMRT), Edizioni della Normale, Pisa, Italy, 2008. The book is internationally distributed by Birkhauser-Verlag. Front page, Table of Contents, Preface, and Authors' Addresses PDF (633KB).

[102] W. Chen, G.T. Herman and Y. Censor, Algorithms for satisfying dose-volume constraints in intensity-modulated radiation therapy, in: Y. Censor, M. Jiang and A.K. Louis (Editors), Mathematical Methods in Biomedical Imaging and Intensity-Modulated Radiation Therapy (IMRT), Edizioni della Normale, Pisa, Italy, 2008, pp. 97-106. Final version preprint PDF (172KB) file. E-reprint of published paper available upon request.

[103] Y. Censor and A. Segal, Iterative projection methods in biomedical inverse problems, in: Y. Censor, M. Jiang and A.K. Louis (Editors), Mathematical Methods in Biomedical Imaging and Intensity-Modulated Radiation Therapy (IMRT), Edizioni della Normale, Pisa, Italy, 2008, pp. 65-96. Final version preprint PDF (250KB) file. E-reprint of published paper available upon request.

[109] S.N. Penfold, R.W. Schulte, Y. Censor, V. Bashkirov, and A.B. Rosenfeld, Characteristics of proton CT images reconstructed with filtered backprojection and iterative projection algorithms, in: IEEE Nuclear Science Symposium and Medical Imaging Conference Record (2009 IEEE-NSS-MIC), October 2009, Orlando, Florida, USA, pp. 4176-4180. Final version preprint PDF (235KB) file. E-reprint of published paper available upon request.

[110] S.N. Penfold, R.W. Schulte, Y. Censor, V. Bashkirov, S. McAllister, K.E. Schubert and A.B. Rosenfeld, Block-iterative and string-averaging projection algorithms in proton computed tomography image reconstruction, in: Y. Censor, M. Jiang and G. Wang (Editors), Biomedical Mathematics: Promising Directions in Imaging, Therapy Planning and Inverse Problems, Medical Physics Publishing, Madison, WI, USA, 2010, pp. 347-367. Final version preprint PDF (463KB) file. E-reprint of published paper available upon request.

[**] Y. Censor, M. Jiang and G. Wang (Editors), Biomedical Mathematics: Promising Directions in Imaging, Therapy Planning and Inverse Problems, Medical Physics Publishing, Madison, WI, USA, 2010. Front page, Table of Contents, Preface, and list of Contributing Authors PDF (89KB).

[114] S.N. Penfold, R.W. Schulte, Y. Censor and A.B. Rosenfeld, Total variation superiorization schemes in proton computed tomography image reconstruction, Medical Physics, Vol. 37, pp. 5887-5895, (2010). DOI:10.1118/1.3504603. Final version preprint PDF (339KB) file. E-reprint of published paper available upon request.

[115] P. Lougovski, J. LeNoach, L. Zhu, Y. Ma, Y. Censor and L. Xing, Toward truly optimal IMRT dose distribution: Inverse planning with voxel-specific penalty, Technology in Cancer Research and Treatment, Vol. 9, pp. 629-636, (2010). Final version preprint PDF (804KB) file. E-reprint of published paper available upon request.

[120] Y. Censor and L. Xing, Iterative prescription refinement in fully-discretized inverse problems of radiation therapy planning, Inverse Problems in Science and Engineering , Vol. 19, pp. 1125-1137, (2011). DOI:10.1080/17415977.2011.603050. Final version preprint PDF (233KB) file. E-reprint of published paper available upon request.

[121] Y. Censor, W. Chen, P.L. Combettes, R. Davidi and G.T. Herman, On the effectiveness of projection methods for convex feasibility problems with linear inequality constraints, Computational Optimization and Applications, Vol. 51, pp. 1065-1088, (2012). DOI: 10.1007/s10589-011-9401-7. Final version preprint PDF (721KB) file. E-reprint of published paper available upon request. A related (unpublished) Technical Report: W. Chen, Data sets of very large linear feasibility problems solved by projection methods, March 2, 2011, can be viewed here: PDF (66KB).

[122] Y. Censor and J. Unkelbach, From analytic inversion to contemporary IMRT optimization: Radiation therapy planning revisited from a mathematical perspective, Physica Medica: European Journal of Medical Physics, Vol. 28, pp. 109-118, (2012). DOI:10.1016/j.ejmp.2011.04.002. Final version preprint PDF (265KB) file. E-reprint of published paper available upon request.

[130] G.T. Herman, E. Garduño, R. Davidi and Y. Censor, Superiorization: An optimization heuristic for medical physics, Medical Physics, Vol. 39, pp. 5532-5546, (2012). DOI:10.1118/1.4745566. Final version preprint PDF (1,193KB) file. E-reprint of published paper available upon request.

[131] R. Davidi, R.W. Schulte, Y. Censor and L. Xing, Fast superiorization using a dual perturbation scheme for proton computed tomography, Transactions of the American Nuclear Society, Vol. 106, pp. 73-76, (2012). Final version preprint PDF (591KB) file. E-reprint of published paper available upon request.

[132] W. Jin, Y. Censor and M. Jiang, A heuristic superiorization-like approach to bioluminescence, International Federation for Medical and Biological Engineering (IFMBE) Proceedings, Vol. 39, pp. 1026-1029, (2013). DOI:10.1007/978-3-642-29305-4_269. Final version preprint PDF (297KB) file. E-reprint of published paper available upon request.

[139] R. Davidi, Y. Censor, R.W. Schulte, S. Geneser, and L. Xing, Feasibility-seeking and superiorization algorithms applied to inverse treatment planning in radiation therapy, Contemporary Mathematics, Vol. 636, pp. 83-92, (2015). DOI:10.1090/conm/636/12729. Final version preprint PDF (454KB) file. E-reprint of published paper available upon request.

[140] B. Schultze, M. Witt, Y. Censor, R. Schulte, and K.E. Schubert, Performance of hull-detection algorithms for proton computed tomography reconstruction, Contemporary Mathematics, Vol. 636, pp. 211-224, (2015). DOI:10.1090/conm/636/12739. Final version preprint PDF (1129KB) file. E-reprint of published paper available upon request.

[***] Y. Censor, S.N. Penfold and R.W. Schulte (Inventors), Systems and methodologies for proton computed tomography, Patent number: US 9,207,193 B2, the United States Patent and Trademark Office, Date of Patent: December 8, 2015. PDF (3,743KB) file. http://pdfpiw.uspto.gov/.piw?PageNum=0&docid=09207193&IDKey=.

[***] R.W. Schulte and Y. Censor (Inventors), Intensity-modulated proton therapy, Patent number: US 9,220,920 B2, the United States Patent and Trademark Office, Date of Patent: December 29, 2015. PDF (2,145KB) file. http://pdfpiw.uspto.gov/.piw?PageNum=0&docid=09220920&IDKey=.

[151] S. Penfold, R. Zalas, M. Casiraghi, M. Brooke, Y. Censor and R. Schulte, Sparsity constrained split feasibility for dose-volume constraints in inverse planning of intensity-modulated photon or proton therapy, Physics in Medicine and Biology, Vol. 62, pp. 3599-3618, (2017). DOI:10.1088/1361-6560/aa602b. Final version preprint PDF (2,199KB) file. E-reprint of published paper available upon request.

[***] Y. Censor, S. Rowland, T. Dou, D. Low and R. Schulte, A new algorithm for motion adapted cone beam CT reconstruction using an advanced motion model. Poster presented at the 56th Annual Conference of the Particle Therapy Co-operative Group (PTCOG56), May 8-13, 2017, the Makuhari Messe (Chiba Prefecture) and Pacifico Yokohama (Kanagawa Prefecture), Japan. Poster PDF (952KB) file.

[***] R.W. Schulte and Y. Censor (Inventors), Systems and methods for intensity modulated radiation therapy, Patent number: US 9,884,206 B2, the United States Patent and Trademark Office, Date of Patent: February 8, 2018. PDF (3,303KB) file. http://pdfpiw.uspto.gov/.piw?PageNum=0&docid=09884206&IDKey=.

[160] B. Schultze, Y. Censor, P. Karbasi, K.E. Schubert, and R.W. Schulte, An improved method of total variation superiorization applied to reconstruction in proton computed tomography. IEEE Transactions on Medical Imaging, Vol. 39, pp. 294-307, (2020). DOI:10.1109/TMI.2019.2911482. Final version preprint PDF (2,002KB) and Supplemental materials PDF (574KB). Available on arXiv at: https://arxiv.org/abs/1803.01112. Available on IEEE Xplore Digital Library at: https://ieeexplore.ieee.org/document/8692608.

[***] Y. Censor, Superiorization and perturbation resilience of algorithms: A continuously updated bibliography, Technical Report, Original report: June 13, 2015 contained 41 items. First revision: March 9, 2017 contained 64 items. Second revision: March 8, 2018 contained 76 items. Third revision: March 11, 2019 contains 90 items. Fourth revision: March 16, 2020 contains 112 items. Available on arXiv at: https://arxiv.org/abs/1506.04219. or here: PDF (98KB).

[***] M. Brooke, Y. Censor, A. Gibali, S. Penfold, R. Schulte and F. Van den Heuvel, A flexible projection-based non-convex inverse optimization algorithm for intensity-modulated proton therapy. Poster presented at the 2020 Joint AAPM | COMP Virtual Meeting of the American Association of Physicists in Medicine, July 12-16, 2020. (https://w3.aapm.org/meetings/2020AM/#covid19). Poster PDF (990KB) file.

[***] Y. Censor, Superiorization and perturbation resilience of algorithms: A continuously updated bibliography, Technical Report, Original report: June 13, 2015 contained 41 items. First revision: March 9, 2017 contained 64 items. Second revision: March 8, 2018 contained 76 items. Third revision: March 11, 2019 contains 90 items. Fourth revision: March 16, 2020 contains 112 items. Fifth revision: March 18, 2021 contains 132 items. Available on arXiv at: http://arxiv.org/abs/1506.04219, or here: PDF (144KB).

[167] Y. Censor, K.E. Schubert and R.W. Schulte, Developments in mathematical algorithms and computational tools for proton CT and particle therapy treatment planning, IEEE Transactions on Radiation and Plasma Medical Sciences, Vol. 6, pp. 313-324, (2022). DOI:10.1109/TRPMS.2021.3107322. Reprint available on IEEEXplore.

[***] Y. Censor, Superiorization and perturbation resilience of algorithms: A continuously updated bibliography, Technical Report, Original report: June 13, 2015 contained 41 items. First revision: March 9, 2017 contained 64 items. Second revision: March 8, 2018 contained 76 items. Third revision: March 11, 2019 contains 90 items. Fourth revision: March 16, 2020 contains 112 items. Fifth revision: March 18, 2021 contains 132 items. Sixth revision: March 13, 2022 contains 150 items. Available on arXiv at: http://arxiv.org/abs/1506.04219, or here: PDF (157KB).

[170] M. Brooke, Y. Censor and A. Gibali, Dynamic string-averaging CQ-methods for the split feasibility problem with percentage violation constraints arising in radiation therapy treatment planning, International Transactions in Operational Research, Vol. 30, pp. 181-205, (2023). https://onlinelibrary.wiley.com/doi/full/10.1111/itor.12929. [Open Access from Wiley].

[171] F.J. Aragón-Artacho, Y. Censor, A. Gibali and D. Torregrosa-Belén, The superiorization method with restarted perturbations for split minimization problems with an application to radiotherapy treatment planning, Applied Mathematics and Computation, Vol. 440, Article 127627 (2023). Open Access at: https://doi.org/10.1016/j.amc.2022.127627, or here: PDF (1,883KB).

[174] Bruce Faddegon, Eleanor A. Blakely, Lucas Burigo, Yair Censor, Ivana Dokic, Naoki Domínguez Kondo, Ramon Ortiz, José Ramos Méndez, Antoni Rucinski, Keith Schubert, Niklas Wahl and Reinhard Schulte, Ionization detail parameters and cluster dose: A mathematical model for selection of nanodosimetric quantities for use in treatment planning in charged particle radiotherapy, Physics in Medicine & Biology, Vol. 68, 175013, (2023). Online at: IOPsceince. DOI:10.1088/1361-6560/acea16. Reprint available upon request.

[***] Y. Censor, A. Gibali and D. Torregrosa-Belén, Corrigendum to: The superiorization method with restarted perturbations for split minimization problems with an application to radiotherapy treatment planning, Applied Mathematics and Computation, Vol. 476, Article 128788 (2024). Available at: https://www.sciencedirect.com/science/article/pii/S0096300324002522.

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