{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,3,13]],"date-time":"2024-03-13T21:06:44Z","timestamp":1710364004874},"reference-count":16,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[1992,3,1]],"date-time":"1992-03-01T00:00:00Z","timestamp":699408000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Comput Geom"],"published-print":{"date-parts":[[1992,3]]},"DOI":"10.1007\/bf02187842","type":"journal-article","created":{"date-parts":[[2005,10,29]],"date-time":"2005-10-29T08:58:18Z","timestamp":1130576298000},"page":"281-293","source":"Crossref","is-referenced-by-count":11,"title":["X-rays of polygons"],"prefix":"10.1007","volume":"7","author":[{"given":"R. J.","family":"Gardner","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[1992,3,1]]},"reference":[{"key":"BF02187842_CR1","doi-asserted-by":"crossref","first-page":"223","DOI":"10.1007\/BF02187787","volume":"5","author":"G. Bianchi","year":"1990","unstructured":"G. Bianchi and M. Longinetti, Reconstructing plane sets from projections,J. Discrete Comput. Geom.,5 (1990), 223\u2013242.","journal-title":"J. Discrete Comput. Geom."},{"key":"BF02187842_CR2","unstructured":"U. Brehm, Polygons which are not uniquely determined by their X-rays from two point sources, in preparation."},{"key":"BF02187842_CR3","doi-asserted-by":"crossref","first-page":"870","DOI":"10.1137\/0217054","volume":"17","author":"H. Edelsbrunner","year":"1988","unstructured":"H. Edelsbrunner and S. S. Skiena, Probing convex polygons with X-rays,SIAM J. Comput.,17 (1988), 870\u2013882.","journal-title":"SIAM J. Comput."},{"issue":"2","key":"BF02187842_CR4","doi-asserted-by":"crossref","first-page":"385","DOI":"10.1112\/jlms\/s2-14.3.385","volume":"14","author":"K. J. Falconer","year":"1976","unstructured":"K. J. Falconer, A result on the Steiner symmetrization of a compact set,J. London Math. Soc. (2),14 (1976), 385\u2013386.","journal-title":"J. London Math. Soc."},{"key":"BF02187842_CR5","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1007\/BF01196876","volume":"41","author":"R. J. Gardner","year":"1983","unstructured":"R. J. Gardner, Symmetrals and X-rays of planar convex bodies,Arch. Math.,41 (1983), 183\u2013189.","journal-title":"Arch. Math."},{"key":"BF02187842_CR6","unstructured":"R. J. Gardner and P. Gritzmann, Successive determination and verification of polytopes by their X-rays, in preparation."},{"issue":"2","key":"BF02187842_CR7","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1112\/jlms\/s2-21.1.171","volume":"21","author":"R. J. Gardner","year":"1980","unstructured":"R. J. Gardner and P. McMullen, On Hammer's X-ray problem,J. London Math. Soc. (2),21 (1980), 171\u2013175.","journal-title":"J. London Math. Soc."},{"key":"BF02187842_CR8","unstructured":"O. Giering, Bestimmung von Eibereichen und Eik\u00f6rpern durch Steiner-Symmetrisierungen,Sitzungsber. Bayer. Akad. Wiss. M\u00fcnchen Math.-Natur. Kl. (1962), 225\u2013253."},{"key":"BF02187842_CR9","unstructured":"V. P. Golubjatnikov, On the tomography of polyhedra (in Russian), in:Questions of Correctedness in Inverse Problems in Mathematical Physics, Computer Center, Novosibirsk, (1982), pp. 75\u201376."},{"key":"BF02187842_CR10","doi-asserted-by":"crossref","first-page":"417","DOI":"10.2307\/2372255","volume":"71","author":"G. G. Lorentz","year":"1949","unstructured":"G. G. Lorentz, A problem of plane measure,Amer. J. Math.,71 (1949), 417\u2013426.","journal-title":"Amer. J. Math."},{"key":"BF02187842_CR11","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-663-01409-6","volume-title":"The Mathematics of Computerized Tomography","author":"F. Natterer","year":"1986","unstructured":"F. Natterer,The Mathematics of Computerized Tomography, Wiley, New York, and Teubner, Stuttgart (1986)."},{"key":"BF02187842_CR12","volume-title":"Geometric Probing","author":"S. S. Skiena","year":"1988","unstructured":"S. S. Skiena, Geometric Probing, Ph.D. dissertation, Department of Computer Science, University of Illinois at Urbana-Champaign, Urbana, IL (1988)."},{"key":"BF02187842_CR13","doi-asserted-by":"crossref","first-page":"599","DOI":"10.1007\/BF01553911","volume":"4","author":"S. S. Skiena","year":"1989","unstructured":"S. S. Skiena, Problems in geometric probing,Algorithmica,4 (1989), 599\u2013605.","journal-title":"Algorithmica"},{"issue":"2","key":"BF02187842_CR14","first-page":"281","volume":"8","author":"A. Vol\u010di\u010d","year":"1985","unstructured":"A. Vol\u010di\u010d, A new proof of the Giering theorem,Suppl. Rend. Circ. Mat. Palermo (2),8 (1985), 281\u2013295.","journal-title":"Suppl. Rend. Circ. Mat. Palermo"},{"issue":"2","key":"BF02187842_CR15","doi-asserted-by":"crossref","first-page":"349","DOI":"10.1112\/jlms\/s2-34.2.349","volume":"34","author":"A. Vol\u010di\u010d","year":"1986","unstructured":"A. Vol\u010di\u010d, A three point solution to Hammer's X-ray problem,J. London Math. Soc. (2),34 (1986), 349\u2013359.","journal-title":"J. London Math. Soc."},{"key":"BF02187842_CR16","first-page":"185","volume":"36","author":"A. Vol\u010di\u010d","year":"1987","unstructured":"A. Vol\u010di\u010d, Tomography of convex bodies and inscribed polygons,Ricerche Mat. Suppl.,36 (1987), 185\u2013192.","journal-title":"Ricerche Mat. Suppl."}],"container-title":["Discrete & Computational Geometry"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02187842.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02187842\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02187842","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,7,18]],"date-time":"2021-07-18T23:37:18Z","timestamp":1626651438000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02187842"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1992,3]]},"references-count":16,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1992,3]]}},"alternative-id":["BF02187842"],"URL":"https:\/\/doi.org\/10.1007\/bf02187842","relation":{},"ISSN":["0179-5376","1432-0444"],"issn-type":[{"value":"0179-5376","type":"print"},{"value":"1432-0444","type":"electronic"}],"subject":[],"published":{"date-parts":[[1992,3]]}}}