caa a22 4500 469075120 CHVBK 20180323132933.0 cr unu---uuuuu 170328e19920801xx s 000 0 eng 10.1007/BF02293041 doi (NATIONALLICENCE)springer-10.1007/BF02293041 Brehm Ulrich Fachbereich Mathematik, Technische Universität Berlin, 1000, Berlin 12, Germany aut Nonuniqueness results for X-ray problems with point sources [Elektronische Daten] [Ulrich Brehm] Let % MathType!MTEF!2!1!+-% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVy0df9qqqrpepC0xbbL8F4rqqrFfpeea0xe9Lqpe0x% c9q8qqaqFn0dXdir-xcvk9pIe9q8qqaq-xir-f0-yqaqVeLsFr0-vr% 0-vr0xc8meaabaqaciGacaGaaeqabaWaaeaaeaaakeaacaWGybacca% Gae8NHI08efv3ySLgznfgDOjdaryqr1ngBPrginfgDObcv39gaiuaa% cqGFDeIudaahaaWcbeqaaiaadsgaaaGccaGGOaGaamizaeXafv3ySL% gzGmvETj2BSbacgaGae0xzImRaaGOmaiaacMcaaaa!521B! $$X \subseteq \mathbb{R}^d (d \geqslant 2)$$ be any finite set with no three points on a line. Then we construct explicitly families of bounded Borel sets which are not uniquely determined by their X-ray images from the points inX. This result is in sharp contrast to the known uniqueness results for convex sets (Hammer's X-ray problem). Springer-Verlag New York Inc., 1992 Discrete & Computational Geometry Springer New York 8/2(1992-08-01), 153-169 0179-5376 8:2<153 1992 8 454 https://doi.org/10.1007/BF02293041 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02293041 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Brehm Ulrich Fachbereich Mathematik, Technische Universität Berlin, 1000, Berlin 12, Germany aut NATIONALLICENCE 773 0- Discrete & Computational Geometry Springer New York 8/2(1992-08-01), 153-169 0179-5376 8:2<153 1992 8 454 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer