{"id":13160,"date":"2021-12-06T19:20:24","date_gmt":"2021-12-07T00:20:24","guid":{"rendered":"https:\/\/carleton.ca\/scs\/?page_id=13160"},"modified":"2021-12-06T19:20:24","modified_gmt":"2021-12-07T00:20:24","slug":"tr-06-03-rotational-clamshell-casting-in-two-dimensions","status":"publish","type":"page","link":"https:\/\/carleton.ca\/scs\/research\/scs-technical-reports\/technical-reports-2006\/tr-06-03-rotational-clamshell-casting-in-two-dimensions\/","title":{"rendered":"TR-06-03: Rotational Clamshell Casting In Two Dimensions"},"content":{"rendered":"

Carleton University
\nTechnical Report<\/a> TR-06-03
\nFebruary 14, 2006<\/p>\n

Rotational Clamshell Casting In Two Dimensions<\/h2>\n
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P. Bose, P. Morin, M. Smid, S. Wuhrer<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n

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Abstract<\/h3>\n

A popular manufacturing technique is clamshell casting, where liquid is poured into a cast and the cast is removed once the liquid has hardened. We consider the case where the object to be manufactured is a simple polygon with n vertices in the plane. The cast consists of exactly two parts and is removed by a rotation around a point in the plane. The following two problems are addressed: (1) Given a cast and a center of rotation r in the plane, we determine in O(n) time whether there exists a partitioning of the cast into exactly two parts, such that one part can be rotated clockwise around r and the other part can be rotated counterclockwise around r without colliding with the interior of the polygon. (2) An algorithm is presented to find all the points in the plane that allow a cast partitioning as described above. For convex polygons, an algorithm with running time O(n) is presented. For simple polygons, the algorithm\u0092s running time becomes O(n2).<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n

TR-06-03.pdf<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

Carleton University Technical Report TR-06-03 February 14, 2006 Rotational Clamshell Casting In Two Dimensions P. Bose, P. Morin, M. Smid, S. Wuhrer Abstract A popular manufacturing technique is clamshell casting, where liquid is poured into a cast and the cast is removed once the liquid has hardened. We consider the case where the object to […]<\/p>\n","protected":false},"author":49,"featured_media":0,"parent":12352,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_relevanssi_hide_post":"","_relevanssi_hide_content":"","_relevanssi_pin_for_all":"","_relevanssi_pin_keywords":"","_relevanssi_unpin_keywords":"","_relevanssi_related_keywords":"","_relevanssi_related_include_ids":"","_relevanssi_related_exclude_ids":"","_relevanssi_related_no_append":"","_relevanssi_related_not_related":"","_relevanssi_related_posts":"","_relevanssi_noindex_reason":"","_mi_skip_tracking":false,"_exactmetrics_sitenote_active":false,"_exactmetrics_sitenote_note":"","_exactmetrics_sitenote_category":0,"footnotes":"","_links_to":"","_links_to_target":""},"yoast_head":"\nTR-06-03: Rotational Clamshell Casting In Two Dimensions - School of Computer Science<\/title>\n<meta name=\"description\" content=\"Carleton University Technical Report TR-06-03 February 14, 2006 Rotational Clamshell Casting In Two Dimensions P. 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