{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,30]],"date-time":"2026-01-30T22:06:25Z","timestamp":1769810785485,"version":"3.49.0"},"reference-count":0,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Comput. Geom. Appl."],"published-print":{"date-parts":[[1997,8]]},"abstract":"<jats:p> For two given point sets, we present a very simple (almost trivial) algorithm to translate one set so that the Hausdorff distance between the two sets is not larger than a constant factor times the minimum Hausdorff distance which can be achieved in this way. The algorithm just matches the so-called Steiner points of the two sets. <\/jats:p><jats:p> The focus of our paper is the general study of reference points (like the Steiner point) and their properties with respect to shape matching. <\/jats:p><jats:p> For more general transformations than just translations, our method eliminates several degrees of freedom from the problem and thus yields good matchings with improved time bounds. <\/jats:p>","DOI":"10.1142\/s0218195997000211","type":"journal-article","created":{"date-parts":[[2003,10,16]],"date-time":"2003-10-16T10:47:26Z","timestamp":1066301246000},"page":"349-363","source":"Crossref","is-referenced-by-count":25,"title":["Matching Shapes with a Reference Point"],"prefix":"10.1142","volume":"07","author":[{"given":"Oswin","family":"Aichholzer","sequence":"first","affiliation":[{"name":"Institut f\u00fcr Grundlagen der Informationsverarbeitung, Technische Universit\u00e4t Graz, A-8010  Graz, Austria"}]},{"given":"Helmut","family":"Alt","sequence":"additional","affiliation":[{"name":"Freie Universit\u00e4t Berlin, Institut f\u00fcr Informatik, D-14195 Berlin, Germany"}]},{"given":"G\u00fcnter","family":"Rote","sequence":"additional","affiliation":[{"name":"Institut f\u00fcr Mathematik, Technische Universit\u00e4t Graz, A-8010 Graz, Austria"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"container-title":["International Journal of Computational Geometry &amp; Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218195997000211","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T15:38:26Z","timestamp":1565192306000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218195997000211"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1997,8]]},"references-count":0,"journal-issue":{"issue":"04","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[1997,8]]}},"alternative-id":["10.1142\/S0218195997000211"],"URL":"https:\/\/doi.org\/10.1142\/s0218195997000211","relation":{},"ISSN":["0218-1959","1793-6357"],"issn-type":[{"value":"0218-1959","type":"print"},{"value":"1793-6357","type":"electronic"}],"subject":[],"published":{"date-parts":[[1997,8]]}}}