{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,13]],"date-time":"2024-09-13T00:14:10Z","timestamp":1726186450484},"reference-count":0,"publisher":"World Scientific Pub Co Pte Lt","issue":"01n02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Comput. Geom. Appl."],"published-print":{"date-parts":[[1995,3]]},"abstract":" We consider the problem of planning motions of a simple legged robot called the spider robot. The robot is modelled as a point where all its legs are attached, and the footholds where the robot can securely place its feet consist of a set of n points in the plane. We show that the space F of admissible and stable placements of such robots has size \u0398(n2<\/jats:sup>) and can be constructed in O(n2<\/jats:sup> log n) time and O(n2<\/jats:sup>) space. Once F has been constructed, we can efficiently solve several problems related to motion planning. <\/jats:p>","DOI":"10.1142\/s0218195995000027","type":"journal-article","created":{"date-parts":[[2004,11,10]],"date-time":"2004-11-10T11:14:37Z","timestamp":1100085277000},"page":"3-20","source":"Crossref","is-referenced-by-count":4,"title":["MOTION PLANNING OF LEGGED ROBOTS: THE SPIDER ROBOT PROBLEM"],"prefix":"10.1142","volume":"05","author":[{"given":"JEAN-DANIEL","family":"BOISSONNAT","sequence":"first","affiliation":[{"name":"INRIA, BP 93, 06901 Sophia-Antipolis cedex, France"}]},{"given":"OLIVIER","family":"DEVILLERS","sequence":"additional","affiliation":[{"name":"INRIA, BP 93, 06901 Sophia-Antipolis cedex, France"}]},{"given":"LEONBATTISTA","family":"DONATI","sequence":"additional","affiliation":[{"name":"INRIA, BP 93, 06901 Sophia-Antipolis cedex, France"}]},{"given":"FRANCO P.","family":"PREPARATA","sequence":"additional","affiliation":[{"name":"Department of Computer Science, Brown University, Providence, RI 02912, USA"}]}],"member":"219","published-online":{"date-parts":[[2012,4,6]]},"container-title":["International Journal of Computational Geometry & Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218195995000027","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T00:30:35Z","timestamp":1565137835000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218195995000027"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1995,3]]},"references-count":0,"journal-issue":{"issue":"01n02","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[1995,3]]}},"alternative-id":["10.1142\/S0218195995000027"],"URL":"https:\/\/doi.org\/10.1142\/s0218195995000027","relation":{},"ISSN":["0218-1959","1793-6357"],"issn-type":[{"value":"0218-1959","type":"print"},{"value":"1793-6357","type":"electronic"}],"subject":[],"published":{"date-parts":[[1995,3]]}}}