<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Péter Balázs</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A decomposition technique for reconstructing discrete sets from four projections</style></title><secondary-title><style face="normal" font="default" size="100%">IMAGE AND VISION COMPUTING</style></secondary-title><short-title><style face="normal" font="default" size="100%">IMAGE VISION COMPUT</style></short-title></titles><dates><year><style  face="normal" font="default" size="100%">2007</style></year><pub-dates><date><style  face="normal" font="default" size="100%">Oct 2007</style></date></pub-dates></dates><publisher><style face="normal" font="default" size="100%">Elsevier</style></publisher><volume><style face="normal" font="default" size="100%">25</style></volume><pages><style face="normal" font="default" size="100%">1609 - 1619</style></pages><isbn><style face="normal" font="default" size="100%">0262-8856</style></isbn><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;The reconstruction of discrete sets from four projections is in general an NP-hard problem. In this paper we study the class of decomposable discrete sets and give an efficient reconstruction algorithm for this class using four projections. It is also shown that an arbitrary discrete set which is Q-convex along the horizontal and vertical directions and consists of several components is decomposable. As a consequence of decomposability we get that in a subclass of &lt;em&gt;hv&lt;/em&gt;-convex discrete sets the reconstruction from four projections can also be solved in polynomial time. Possible extensions of our method are also discussed.&lt;/p&gt;</style></abstract><issue><style face="normal" font="default" size="100%">10</style></issue><work-type><style face="normal" font="default" size="100%">Journal article</style></work-type><notes><style face="normal" font="default" size="100%">UT: 000249047200009ScopusID: 34447547739doi: 10.1016/j.imavis.2006.06.015</style></notes></record></records></xml>