{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,12,4]],"date-time":"2024-12-04T00:10:03Z","timestamp":1733271003568,"version":"3.30.1"},"reference-count":28,"publisher":"Elsevier BV","issue":"2-3","license":[{"start":{"date-parts":[[2002,3,1]],"date-time":"2002-03-01T00:00:00Z","timestamp":1014940800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Applied Mathematics and Computation"],"published-print":{"date-parts":[[2002,3]]},"DOI":"10.1016\/s0096-3003(00)00144-2","type":"journal-article","created":{"date-parts":[[2002,7,25]],"date-time":"2002-07-25T13:36:39Z","timestamp":1027604199000},"page":"157-179","source":"Crossref","is-referenced-by-count":8,"title":["Summed squared distance error reduction by simultaneous multiprojections and applications"],"prefix":"10.1016","volume":"126","author":[{"given":"Yair","family":"Censor","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nir","family":"Cohen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tuvia","family":"Kutscher (Kotzer)","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Joseph","family":"Shamir","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"issue":"Suppl.","key":"10.1016\/S0096-3003(00)00144-2_BIB1","first-page":"77","article-title":"Algorithms for reconstruction of partially known, bandlimited Fourier transform pairs from noisy data. II. The nonlinear problem of phase retrieval","volume":"9","author":"Barakat","year":"1985","journal-title":"Journal of Integral Equations"},{"key":"10.1016\/S0096-3003(00)00144-2_BIB2","first-page":"688","article-title":"The method of successive projection for finding a common point of convex sets","volume":"6","author":"Bregman","year":"1965","journal-title":"Soviet Mathematics Doklady"},{"key":"10.1016\/S0096-3003(00)00144-2_BIB3","doi-asserted-by":"crossref","first-page":"620","DOI":"10.1016\/0041-5553(67)90040-7","article-title":"The relaxation method of finding the common point of convex sets and its application to the solution of problems in convex programming","volume":"7","author":"Bregman","year":"1967","journal-title":"USSR Computational Mathematics and Mathematical Physics"},{"key":"10.1016\/S0096-3003(00)00144-2_BIB4","doi-asserted-by":"crossref","first-page":"221","DOI":"10.1007\/BF02142692","article-title":"A multiprojection algorithm using Bregman projections in a product space","volume":"8","author":"Censor","year":"1994","journal-title":"Numerical Algorithms"},{"year":"1997","series-title":"Parallel Optimization: Theory, Algorithms, and Applications","author":"Censor","key":"10.1016\/S0096-3003(00)00144-2_BIB5"},{"key":"10.1016\/S0096-3003(00)00144-2_BIB6","doi-asserted-by":"crossref","first-page":"487","DOI":"10.1007\/BF00939646","article-title":"Method of successive projections for finding a common point of sets in metric spaces","volume":"67","author":"Combettes","year":"1990","journal-title":"Journal of Optimization Theory and Applications"},{"key":"10.1016\/S0096-3003(00)00144-2_BIB7","doi-asserted-by":"crossref","first-page":"2955","DOI":"10.1109\/78.330356","article-title":"Inconsistent signal feasibility problems: Least-squares solutions in a product space","volume":"SP-42","author":"Combettes","year":"1994","journal-title":"IEEE Transactions on Signal Processing"},{"key":"10.1016\/S0096-3003(00)00144-2_BIB8","doi-asserted-by":"crossref","unstructured":"P.L. Combettes, H. Puh, Parallel projection methods for set theoretic signal reconstruction and restoration, ICASSP'93, V297-V300, paper WPF.10, 1993","DOI":"10.1109\/ICASSP.1993.319806"},{"key":"10.1016\/S0096-3003(00)00144-2_BIB9","doi-asserted-by":"crossref","unstructured":"P.L. Combettes, H. Puh, A fast parallel projection algorithm for set theoretic image recovery, ICASSP'94, V473-V476, paper 61.3, 1994","DOI":"10.1109\/ICASSP.1994.389385"},{"year":"1976","series-title":"Convex Analysis and Variational Problems","author":"Ekeland","key":"10.1016\/S0096-3003(00)00144-2_BIB10"},{"key":"10.1016\/S0096-3003(00)00144-2_BIB11","doi-asserted-by":"crossref","first-page":"2758","DOI":"10.1364\/AO.21.002758","article-title":"Phase retrieval algorithms: a comparison","volume":"21","author":"Fienup","year":"1982","journal-title":"Applied Optics"},{"key":"10.1016\/S0096-3003(00)00144-2_BIB12","first-page":"237","article-title":"A practical algorithm for the determination of phase from image and diffraction plane pictures","volume":"35","author":"Gerchberg","year":"1972","journal-title":"Optik"},{"year":"1968","series-title":"Introduction to Fourier Optics","author":"Goodman","key":"10.1016\/S0096-3003(00)00144-2_BIB13"},{"key":"10.1016\/S0096-3003(00)00144-2_BIB14","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0041-5553(67)90113-9","article-title":"The method of projections for finding the common point of convex sets","volume":"7","author":"Gubin","year":"1967","journal-title":"USSR Computational Mathematics and Mathematical Physics"},{"key":"10.1016\/S0096-3003(00)00144-2_BIB15","doi-asserted-by":"crossref","first-page":"812","DOI":"10.1364\/AO.23.000812","article-title":"Phase only matched filtering","volume":"23","author":"Horner","year":"1984","journal-title":"Applied Optics"},{"key":"10.1016\/S0096-3003(00)00144-2_BIB16","doi-asserted-by":"crossref","first-page":"499","DOI":"10.1109\/TAP.1983.1143062","article-title":"A spectral-iteration technique for analyzing scattering from arbitrary bodies, Part I: cylindrical scatterers from E-wave incidence","volume":"AP-31","author":"Kastner","year":"1983","journal-title":"IEEE Transactions on Antenna and Propagation"},{"key":"10.1016\/S0096-3003(00)00144-2_BIB17","doi-asserted-by":"crossref","unstructured":"T. Kotzer, N. Cohen, J. Shamir, Extended and alternative projections onto convex constraint sets: theory and applications, EE Pub. No. 900, Department of Electrical Engineering, Technion\u2013I.I.T., Haifa, Israel, November 1993. Part of this work can be found also in: T. Kotzer, N. Cohen, J. Shamir, Generalized approach to projection onto convex constraint sets, International Conference on Pattern Recognition, October 1994, Proceedings of the 12th ICPR, vol. III, pp. 77\u201381","DOI":"10.1109\/ICPR.1994.577126"},{"key":"10.1016\/S0096-3003(00)00144-2_BIB18","doi-asserted-by":"crossref","first-page":"1172","DOI":"10.1364\/OL.20.001172","article-title":"Image restoration by a novel parallel projection onto constraint sets method","volume":"20","author":"Kotzer","year":"1995","journal-title":"Optics Letters"},{"key":"10.1016\/S0096-3003(00)00144-2_BIB19","doi-asserted-by":"crossref","first-page":"527","DOI":"10.1137\/S1052623494278347","article-title":"A projection based algorithm for consistent and inconsistent constraints","volume":"7","author":"Kotzer","year":"1997","journal-title":"SIAM Journal on Optimization"},{"key":"10.1016\/S0096-3003(00)00144-2_BIB20","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1016\/S0030-4018(98)00415-5","article-title":"Generalized projection algorithms with applications to optics and signal restoration","volume":"156","author":"Kotzer","year":"1998","journal-title":"Optics Communication"},{"key":"10.1016\/S0096-3003(00)00144-2_BIB21","doi-asserted-by":"crossref","first-page":"3883","DOI":"10.1364\/AO.34.003883","article-title":"Application of serial and parallel projection methods to correlation filter design","volume":"34","author":"Kotzer","year":"1995","journal-title":"Applied Optics"},{"key":"10.1016\/S0096-3003(00)00144-2_BIB22","doi-asserted-by":"crossref","first-page":"932","DOI":"10.1364\/JOSAA.1.000932","article-title":"Image restoration by the method of generalized projections with application to restoration from magnitude","volume":"1","author":"Levi","year":"1984","journal-title":"Journal of the Optical Society of America A"},{"key":"10.1016\/S0096-3003(00)00144-2_BIB23","doi-asserted-by":"crossref","first-page":"96","DOI":"10.1007\/BF02612715","article-title":"Decomposition through formalization in a product space","volume":"28","author":"Pierra","year":"1984","journal-title":"Mathematical Programming"},{"key":"10.1016\/S0096-3003(00)00144-2_BIB24","doi-asserted-by":"crossref","first-page":"752","DOI":"10.1364\/OL.16.000752","article-title":"Application of the projection-onto-constraint-sets algorithm for optical pattern recognition","volume":"16","author":"Rosen","year":"1991","journal-title":"Optics Letters"},{"key":"10.1016\/S0096-3003(00)00144-2_BIB25","doi-asserted-by":"crossref","first-page":"2275","DOI":"10.1109\/78.91183","article-title":"Prototype image constraints for set-theoretic image restoration","volume":"SP-39","author":"Sezan","year":"1991","journal-title":"IEEE Transactions on Signal Processing"},{"key":"10.1016\/S0096-3003(00)00144-2_BIB26","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1109\/TASSP.1984.1164297","article-title":"The feasible solution in signal restoration","volume":"32","author":"Trussel","year":"1984","journal-title":"IEEE Transactions on Acoustics, Speech and Signal Processing ASSP"},{"key":"10.1016\/S0096-3003(00)00144-2_BIB27","doi-asserted-by":"crossref","first-page":"209","DOI":"10.1364\/AO.33.000209","article-title":"Gerchberg-Saxton and Yang-Gu algorithms for phase retrieval in a non-unitary transform system: a comparison","volume":"33","author":"Yang","year":"1994","journal-title":"Applied Optics"},{"key":"10.1016\/S0096-3003(00)00144-2_BIB28","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1109\/TMI.1982.4307555","article-title":"Image restoration by the method of convex projections: Part 1-Theory","volume":"MI-1","author":"Youla","year":"1982","journal-title":"IEEE Transactions on Medical Imaging"}],"container-title":["Applied Mathematics and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0096300300001442?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0096300300001442?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2024,12,3]],"date-time":"2024-12-03T23:36:22Z","timestamp":1733268982000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0096300300001442"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,3]]},"references-count":28,"journal-issue":{"issue":"2-3","published-print":{"date-parts":[[2002,3]]}},"alternative-id":["S0096300300001442"],"URL":"https:\/\/doi.org\/10.1016\/s0096-3003(00)00144-2","relation":{},"ISSN":["0096-3003"],"issn-type":[{"type":"print","value":"0096-3003"}],"subject":[],"published":{"date-parts":[[2002,3]]}}}