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 hardcopies 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. Borgers and F. Natterer (Editors), The IMA Volumes in Mathematics and its Applications, Vol. 110, Springer-Verlag, New York, NY, USA, 1999, pp. 101-112. 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). 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). 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). 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). 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). 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, 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, accepted for publication. Final version preprint PDF (463KB) file.

[111] 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: Conference Record of The 2009 IEEE Nuclear Science Symposium and Medical Imaging Conference (2009 IEEE-NSS-MIC), October 25-31, 2009, Orlando, Florida, USA, to appear. Final version preprint PDF (235KB) file.

[**] 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, to appear.

[113] 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, Technical Report, December 22, 2009. PDF (326KB) file.

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