{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,19]],"date-time":"2025-12-19T15:45:49Z","timestamp":1766159149088,"version":"3.40.3"},"publisher-location":"Cham","reference-count":23,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783031319747"},{"type":"electronic","value":"9783031319754"}],"license":[{"start":{"date-parts":[[2023,1,1]],"date-time":"2023-01-01T00:00:00Z","timestamp":1672531200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,1,1]],"date-time":"2023-01-01T00:00:00Z","timestamp":1672531200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2023]]},"DOI":"10.1007\/978-3-031-31975-4_5","type":"book-chapter","created":{"date-parts":[[2023,5,10]],"date-time":"2023-05-10T23:30:02Z","timestamp":1683761402000},"page":"55-67","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Prony-Based Super-Resolution Phase Retrieval of\u00a0Sparse, Multidimensional Signals"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7813-2762","authenticated-orcid":false,"given":"Robert","family":"Beinert","sequence":"first","affiliation":[]},{"given":"Saghar","family":"Rezaei","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2023,5,10]]},"reference":[{"issue":"18","key":"5_CR1","doi-asserted-by":"publisher","first-page":"4839","DOI":"10.1109\/TSP.2019.2931169","volume":"67","author":"G Baechler","year":"2019","unstructured":"Baechler, G., Krekovi\u0107, M., Ranieri, J., Chebira, A., Lu, Y.M., Vetterli, M.: Super resolution phase retrieval for sparse signals. IEEE Trans. Signal Process. 67(18), 4839\u20134854 (2019). https:\/\/doi.org\/10.1109\/TSP.2019.2931169","journal-title":"IEEE Trans. Signal Process."},{"key":"5_CR2","doi-asserted-by":"publisher","unstructured":"Barbotin, Y., Vetterli, M.: Fast and robust parametric estimation of jointly sparse channels. IEEE J. Emerg. Sel. Topics Power Electron. 2(3), 402\u2013412 (2012). https:\/\/doi.org\/10.1109\/JETCAS.2012.2214872","DOI":"10.1109\/JETCAS.2012.2214872"},{"issue":"2","key":"5_CR3","doi-asserted-by":"publisher","first-page":"213","DOI":"10.1093\/imaiai\/iaw018","volume":"6","author":"R Beinert","year":"2017","unstructured":"Beinert, R.: Non-negativity constraints in the one-dimensional discrete-time phase retrieval problem. Inf. Inference 6(2), 213\u2013224 (2017). https:\/\/doi.org\/10.1093\/imaiai\/iaw018","journal-title":"Inf. Inference"},{"issue":"1\u20132","key":"5_CR4","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s00025-016-0633-9","volume":"72","author":"R Beinert","year":"2017","unstructured":"Beinert, R.: One-dimensional phase retrieval with additional interference intensity measurements. Results Math. 72(1\u20132), 1\u201324 (2017). https:\/\/doi.org\/10.1007\/s00025-016-0633-9","journal-title":"Results Math."},{"issue":"6","key":"5_CR5","doi-asserted-by":"publisher","first-page":"1169","DOI":"10.1007\/s00041-015-9405-2","volume":"21","author":"R Beinert","year":"2015","unstructured":"Beinert, R., Plonka, G.: Ambiguities in one-dimensional discrete phase retrieval from Fourier magnitudes. J. Fourier Anal. Appl. 21(6), 1169\u20131198 (2015). https:\/\/doi.org\/10.1007\/s00041-015-9405-2","journal-title":"J. Fourier Anal. Appl."},{"key":"5_CR6","doi-asserted-by":"publisher","first-page":"5","DOI":"10.3389\/fams.2017.00005","volume":"3","author":"R Beinert","year":"2017","unstructured":"Beinert, R., Plonka, G.: Sparse phase retrieval of one-dimensional signals by Prony\u2019s method. Front. Appl. Math. Stat. 3, 5 (2017). https:\/\/doi.org\/10.3389\/fams.2017.00005","journal-title":"Front. Appl. Math. Stat."},{"issue":"1","key":"5_CR7","doi-asserted-by":"publisher","first-page":"829","DOI":"10.1002\/pamm.201710382","volume":"17","author":"R Beinert","year":"2017","unstructured":"Beinert, R., Plonka, G.: Sparse phase retrieval of structured signals by Prony\u2019s method. PAMM 17(1), 829\u2013830 (2017). https:\/\/doi.org\/10.1002\/pamm.201710382","journal-title":"PAMM"},{"issue":"3","key":"5_CR8","doi-asserted-by":"publisher","first-page":"505","DOI":"10.1016\/j.acha.2016.12.002","volume":"45","author":"R Beinert","year":"2018","unstructured":"Beinert, R., Plonka, G.: Enforcing uniqueness in one-dimensional phase retrieval by additional signal information in time domain. Appl. Comput. Harmon. Anal. 45(3), 505\u2013525 (2018). https:\/\/doi.org\/10.1016\/j.acha.2016.12.002","journal-title":"Appl. Comput. Harmon. Anal."},{"issue":"3","key":"5_CR9","doi-asserted-by":"publisher","first-page":"1373","DOI":"10.1137\/22M1474382","volume":"15","author":"R Beinert","year":"2022","unstructured":"Beinert, R., Quellmalz, M.: Total variation-based reconstruction and phase retrieval for diffraction tomography. SIAM J. Imaging Sci. 15(3), 1373\u20131399 (2022). https:\/\/doi.org\/10.1137\/22M1474382","journal-title":"SIAM J. Imaging Sci."},{"key":"5_CR10","series-title":"Applied and Numerical Harmonic Analysis","doi-asserted-by":"publisher","first-page":"55","DOI":"10.1007\/978-3-319-69802-1_2","volume-title":"Compressed Sensing and its Applications","author":"T Bendory","year":"2017","unstructured":"Bendory, T., Beinert, R., Eldar, Y.C.: Fourier phase retrieval: uniqueness and algorithms. In: Boche, H., Caire, G., Calderbank, R., M\u00e4rz, M., Kutyniok, G., Mathar, R. (eds.) Compressed Sensing and its Applications. ANHA, pp. 55\u201391. Springer, Cham (2017). https:\/\/doi.org\/10.1007\/978-3-319-69802-1_2"},{"issue":"6","key":"5_CR11","doi-asserted-by":"publisher","first-page":"2540","DOI":"10.1137\/16M1108807","volume":"55","author":"C Dossal","year":"2017","unstructured":"Dossal, C., Duval, V., Poon, C.: Sampling the Fourier transform along radial lines. SIAM J. Numer. Anal. 55(6), 2540\u20132564 (2017). https:\/\/doi.org\/10.1137\/16M1108807","journal-title":"SIAM J. Numer. Anal."},{"issue":"2","key":"5_CR12","doi-asserted-by":"publisher","first-page":"301","DOI":"10.1137\/19M1256865","volume":"62","author":"P Grohs","year":"2020","unstructured":"Grohs, P., Koppensteiner, S., Rathmair, M.: Phase retrieval: uniqueness and stability. SIAM Rev. 62(2), 301\u2013350 (2020). https:\/\/doi.org\/10.1137\/19M1256865","journal-title":"SIAM Rev."},{"key":"5_CR13","volume-title":"Introduction to Numerical Analysis","author":"FB Hildebrand","year":"1987","unstructured":"Hildebrand, F.B.: Introduction to Numerical Analysis, 2nd edn. Dover Publications, New York (1987)","edition":"2"},{"key":"5_CR14","doi-asserted-by":"publisher","unstructured":"Klibanov, M.V., Kamburg, V.G.: Uniqueness of a one-dimensional phase retrieval problem. Inverse Probl. 30(7), 075004, 10 (2014). https:\/\/doi.org\/10.1088\/0266-5611\/30\/7\/075004","DOI":"10.1088\/0266-5611\/30\/7\/075004"},{"issue":"1","key":"5_CR15","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1088\/0266-5611\/11\/1\/001","volume":"11","author":"MV Klibanov","year":"1995","unstructured":"Klibanov, M.V., Sacks, P.E., Tikhonravov, A.V.: The phase retrieval problem. Inverse Prob. 11(1), 1\u201328 (1995). https:\/\/doi.org\/10.1088\/0266-5611\/11\/1\/001","journal-title":"Inverse Prob."},{"issue":"11","key":"5_CR16","doi-asserted-by":"publisher","first-page":"1236","DOI":"10.1364\/JOSA.66.001236","volume":"66","author":"KT Knox","year":"1976","unstructured":"Knox, K.T.: Image retrieval from astronomical speckle patterns. J. Opt. Soc. Am. 66(11), 1236\u20131239 (1976). https:\/\/doi.org\/10.1364\/JOSA.66.001236","journal-title":"J. Opt. Soc. Am."},{"key":"5_CR17","doi-asserted-by":"publisher","first-page":"43","DOI":"10.1016\/j.ultramic.2016.08.020","volume":"171","author":"A Konijnenberg","year":"2016","unstructured":"Konijnenberg, A., Coene, W., Pereira, S., Urbach, H.: Combining ptychographical algorithms with the Hybrid Input-Output (HIO) algorithm. Ultramicroscopy 171, 43\u201354 (2016). https:\/\/doi.org\/10.1016\/j.ultramic.2016.08.020","journal-title":"Ultramicroscopy"},{"issue":"3","key":"5_CR18","doi-asserted-by":"publisher","first-page":"394","DOI":"10.1364\/JOSAA.7.000394","volume":"7","author":"RP Millane","year":"1990","unstructured":"Millane, R.P.: Phase retrieval in crystallography and optics. J. Opt. Soc. Am. A 7(3), 394\u2013411 (1990). https:\/\/doi.org\/10.1364\/JOSAA.7.000394","journal-title":"J. Opt. Soc. Am. A"},{"key":"5_CR19","series-title":"Applied and Numerical Harmonic Analysis","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-04306-3","volume-title":"Numerical Fourier Analysis","author":"Gerlind Plonka","year":"2018","unstructured":"Plonka, Gerlind, Potts, Daniel, Steidl, Gabriele, Tasche, Manfred: Numerical Fourier Analysis. ANHA, Springer, Cham (2018). https:\/\/doi.org\/10.1007\/978-3-030-04306-3"},{"issue":"1\u20132","key":"5_CR20","doi-asserted-by":"publisher","first-page":"117","DOI":"10.1007\/s12190-012-0624-2","volume":"42","author":"G Plonka","year":"2013","unstructured":"Plonka, G., Wischerhoff, M.: How many Fourier samples are needed for real function reconstruction? J. Appl. Math. Comput. 42(1\u20132), 117\u2013137 (2013). https:\/\/doi.org\/10.1007\/s12190-012-0624-2","journal-title":"J. Appl. Math. Comput."},{"issue":"5","key":"5_CR21","doi-asserted-by":"publisher","first-page":"1631","DOI":"10.1016\/j.sigpro.2009.11.012","volume":"90","author":"D Potts","year":"2010","unstructured":"Potts, D., Tasche, M.: Parameter estimation for exponential sums by approximate Prony method. Signal Process. 90(5), 1631\u20131642 (2010). https:\/\/doi.org\/10.1016\/j.sigpro.2009.11.012","journal-title":"Signal Process."},{"key":"5_CR22","unstructured":"Prony, R.: Essai exp\u00e9rimental et analytique sur les lois de la dilatabilit\u00e9 des fluides \u00e9lastiques et sur celles de la force expansive de la vapeur de l\u2019eau et de la vapeur de l\u2019alkool, \u00e1 diff\u00e9rentes temp\u00e9ratures. Journal de l\u2019\u00c9cole polytechnique. 2, 24\u201376 (1795)"},{"key":"5_CR23","doi-asserted-by":"publisher","unstructured":"Ranieri, J., Chebira, A., Lu, Y.M., Vetterli, M.: Phase retrieval for sparse signals: uniqueness conditions (2013). https:\/\/doi.org\/10.48550\/ARXIV.1308.3058","DOI":"10.48550\/ARXIV.1308.3058"}],"container-title":["Lecture Notes in Computer Science","Scale Space and Variational Methods in Computer Vision"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-031-31975-4_5","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,3,12]],"date-time":"2024-03-12T12:17:45Z","timestamp":1710245865000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-031-31975-4_5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023]]},"ISBN":["9783031319747","9783031319754"],"references-count":23,"URL":"https:\/\/doi.org\/10.1007\/978-3-031-31975-4_5","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2023]]},"assertion":[{"value":"10 May 2023","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"SSVM","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Scale Space and Variational Methods in Computer Vision","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Santa Margherita di Pula","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Italy","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2023","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"21 May 2023","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"25 May 2023","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"9","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"scalespace2023","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/eventi.unibo.it\/ssvm2023","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Double-blind","order":1,"name":"type","label":"Type","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"CMT","order":2,"name":"conference_management_system","label":"Conference Management System","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"72","order":3,"name":"number_of_submissions_sent_for_review","label":"Number of Submissions Sent for Review","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"57","order":4,"name":"number_of_full_papers_accepted","label":"Number of Full Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"0","order":5,"name":"number_of_short_papers_accepted","label":"Number of Short Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"79% - The value is computed by the equation \"Number of Full Papers Accepted \/ Number of Submissions Sent for Review * 100\" and then rounded to a whole number.","order":6,"name":"acceptance_rate_of_full_papers","label":"Acceptance Rate of Full Papers","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"3","order":7,"name":"average_number_of_reviews_per_paper","label":"Average Number of Reviews per Paper","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"2","order":8,"name":"average_number_of_papers_per_reviewer","label":"Average Number of Papers per Reviewer","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"Yes","order":9,"name":"external_reviewers_involved","label":"External Reviewers Involved","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}}]}}