{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,9,1]],"date-time":"2022-09-01T13:50:41Z","timestamp":1662040241420},"publisher-location":"Berlin, Heidelberg","reference-count":14,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"value":"9783540430797","type":"print"},{"value":"9783540455769","type":"electronic"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2001]]},"DOI":"10.1007\/3-540-45576-0_11","type":"book-chapter","created":{"date-parts":[[2007,5,26]],"date-time":"2007-05-26T23:59:58Z","timestamp":1180223998000},"page":"175-186","source":"Crossref","is-referenced-by-count":13,"title":["Stability and Instability in Discrete Tomography"],"prefix":"10.1007","author":[{"given":"Andreas","family":"Alpers","sequence":"first","affiliation":[]},{"given":"Peter","family":"Gritzmann","sequence":"additional","affiliation":[]},{"given":"Lionel","family":"Thorens","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2002,1,10]]},"reference":[{"issue":"2","key":"11_CR1","doi-asserted-by":"publisher","first-page":"149","DOI":"10.1016\/0012-365X(91)90106-C","volume":"91","author":"P. C. Fishburn","year":"1991","unstructured":"P. C. Fishburn, J. C. Lagarias, J. A. Reeds, and L. A. Shepp. Sets uniquely determined by projections on axes II: Discrete case. Discrete Math., 91(2):149\u2013159, 1991.","journal-title":"Discrete Math."},{"key":"11_CR2","unstructured":"P. Gritzmann and S. de Vries. Reconstructing crystalline structures from few images under high resolution transmission electron microscopy. In Mathematics: Key Technology for the Future, (ed. by W. J\u00e4ger). Springer, 2001. in print."},{"key":"11_CR3","doi-asserted-by":"publisher","first-page":"522","DOI":"10.1137\/S105262349935726X","volume":"11","author":"P. Gritzmann","year":"2000","unstructured":"P. Gritzmann, S. de Vries, and M. Wiegelmann. Approximating binary images from discrete X-rays. SIAM J. Opt., 11:522\u2013546, 2000.","journal-title":"SIAM J. Opt."},{"key":"11_CR4","doi-asserted-by":"publisher","first-page":"45","DOI":"10.1016\/S0012-365X(98)00347-1","volume":"202","author":"R. J. Gardner","year":"1999","unstructured":"R. J. Gardner, P. Gritzmann, and D. Prangenberg. On the computational complexity of reconstructing lattice sets from their X-rays. Discrete Math., 202:45\u201371, 1999.","journal-title":"Discrete Math."},{"key":"11_CR5","doi-asserted-by":"publisher","first-page":"91","DOI":"10.1016\/S0304-3975(97)00298-3","volume":"233","author":"R. J. Gardner","year":"2000","unstructured":"R. J. Gardner, P. Gritzmann, and D. Prangenberg. On the computational complexity of determining polyatomic structures by X-rays. Th. Comput. Sci., 233:91\u2013106, 2000.","journal-title":"Th. Comput. Sci."},{"key":"11_CR6","doi-asserted-by":"publisher","first-page":"19","DOI":"10.1007\/BFb0024827","volume-title":"Discrete Geometry for Computer Imagery","author":"P. Gritzmann","year":"1997","unstructured":"P. Gritzmann. On the reconstruction of finite lattice sets from their X-rays. In Discrete Geometry for Computer Imagery, (ed. by E. Ahronovitz and C. Fiorio), pages 19\u201332. Springer, Berlin, 1997."},{"key":"11_CR7","volume-title":"Discrete Tomography: Foundations, Algorithms, and Applications","year":"1999","unstructured":"G. T. Herman and A. Kuba (eds.). Discrete Tomography: Foundations, Algorithms, and Applications. Birkh\u00e4user, Boston, 1999."},{"key":"11_CR8","doi-asserted-by":"publisher","first-page":"170","DOI":"10.1137\/S0097539790191010","volume":"23","author":"R. W. Irving","year":"1994","unstructured":"R. W. Irving and M. R. Jerrum. Three-dimensional statistical data security problems. SIAM J. Comput., 23:170\u2013184, 1994.","journal-title":"SIAM J. Comput."},{"key":"11_CR9","doi-asserted-by":"publisher","first-page":"118","DOI":"10.1002\/(SICI)1098-1098(1998)9:2\/3<118::AID-IMA8>3.0.CO;2-E","volume":"9","author":"T. Y. Kong","year":"1998","unstructured":"T. Y. Kong and G. T. Herman. On which grids can tomographic equivalence of binary pictures be characterized in terms of elementary switching operations. Int. J. Imaging Syst. Technol., 9:118\u2013125, 1998.","journal-title":"Int. J. Imaging Syst. Technol."},{"key":"11_CR10","doi-asserted-by":"crossref","first-page":"59","DOI":"10.1007\/978-1-4612-1568-4_3","volume-title":"Discrete tomography: foundations, algorithms, and applications","author":"T. Y. Kong","year":"1999","unstructured":"T. Y. Kong and G. T. Herman. Tomographic equivalence and switching operations. In Discrete tomography: foundations, algorithms, and applications (ed. by G. Herman and A. Kuba), pages 59\u201384. Birkh\u00e4user, Boston, 1999."},{"key":"11_CR11","doi-asserted-by":"publisher","first-page":"131","DOI":"10.1016\/0304-3991(94)00202-X","volume":"58","author":"C. Kisielowski","year":"1995","unstructured":"C. Kisielowski, P. Schwander, F. H. Baumann, M. Seibt, Y. Kim, and A. Ourmazd. An approach to quantitative high-resolution transmission electron microscopy of crystalline materials. Ultramicroscopy, 58:131\u2013155, 1995.","journal-title":"Ultramicroscopy"},{"key":"11_CR12","first-page":"61","volume-title":"Matrices of zeros and ones","author":"H. J. Ryser","year":"1963","unstructured":"H. J. Ryser. Combinatorial Mathematics, chapter 6, Matrices of zeros and ones. Mathematical Association of America and Quinn & Boden, Rahway, NJ, 1963, pp. 61\u201378."},{"key":"11_CR13","doi-asserted-by":"publisher","first-page":"18","DOI":"10.1016\/0146-664X(82)90097-1","volume":"18","author":"C. H. Slump","year":"1982","unstructured":"C. H. Slump and J. J. Gerbrands. A network flow approach to reconstruction of the left ventricle from two projections. Comput. Graphics Image Process., 18:18\u201336, 1982.","journal-title":"Comput. Graphics Image Process."},{"issue":"25","key":"11_CR14","doi-asserted-by":"publisher","first-page":"4150","DOI":"10.1103\/PhysRevLett.71.4150","volume":"71","author":"P. Schwander","year":"1993","unstructured":"P. Schwander, C. Kisielowski, F. H. Baumann, Y. Kim, and A. Ourmazd. Mapping projected potential, interfacial roughness, and composition in general crystalline solids by quantitative transmission electron microscopy. Phys. Rev. Lett., 71(25):4150\u20134153, 1993.","journal-title":"Phys. Rev. Lett."}],"container-title":["Digital and Image Geometry","Lecture Notes in Computer Science"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/3-540-45576-0_11","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2018,10,6]],"date-time":"2018-10-06T18:16:44Z","timestamp":1538849804000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/3-540-45576-0_11"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001]]},"ISBN":["9783540430797","9783540455769"],"references-count":14,"URL":"http:\/\/dx.doi.org\/10.1007\/3-540-45576-0_11","relation":{},"ISSN":["0302-9743"],"issn-type":[{"value":"0302-9743","type":"print"}],"published":{"date-parts":[[2001]]}}}