{"id":12626,"date":"2021-11-14T20:17:35","date_gmt":"2021-11-15T01:17:35","guid":{"rendered":"https:\/\/carleton.ca\/scs\/?page_id=12626"},"modified":"2021-11-14T20:18:10","modified_gmt":"2021-11-15T01:18:10","slug":"tr-117-recognizing-polygons-or-how-to-spy","status":"publish","type":"page","link":"https:\/\/carleton.ca\/scs\/research\/scs-technical-reports\/technical-reports-1987\/tr-117-recognizing-polygons-or-how-to-spy\/","title":{"rendered":"TR-117: Recognizing Polygons, or How to Spy"},"content":{"rendered":"<p>Carleton University<br \/>\n<a href=\"https:\/\/carleton.ca\/scs\/research\/scs-technical-reports\/technical-reports-1987\/\">Technical Report<\/a> <strong>TR-117<\/strong><br \/>\nAugust 1987<\/p>\n<h2 class=\"tr_t1\">Recognizing Polygons, or How to Spy<\/h2>\n<div class=\"tr_t3\">\n<div class=\"tr_t3\">James A. Dean, Andrzej Lingas, J\u00f6rg-R\u00fcdiger Sack<\/div>\n<\/div>\n<div>\n<h3>Abstract<\/h3>\n<p>A new class of so-called pseudo-star-shaped polygons is introduced. A polygon is pseudo-star-shaped if there exists a point from which the whole interior of the polygon can be seen, provided it is possible to see through single edges. We show that the class of pseudo-star-shaped polygons unifies and generalizes the well-known classes of convex, monotone and pseudo-star-shaped polygons. We give algorithms for testing whether a polygon is pseudo-star-shaped from a given point in linear time, and for constructing all regions from which the polygon is pseudo-star-shaped in quadratic time. We show the latter algorithm to be worst-case optimal. Also, we give efficient algorithms solving standard geometrical problems such as point-location and triangulation for pseudo-star-shaped polygons.<\/p>\n<\/div>\n<p><a href=\"https:\/\/carleton.ca\/scs\/wp-content\/uploads\/tr-117.pdf\">TR-117.pdf<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Carleton University Technical Report TR-117 August 1987 Recognizing Polygons, or How to Spy James A. Dean, Andrzej Lingas, J\u00f6rg-R\u00fcdiger Sack Abstract A new class of so-called pseudo-star-shaped polygons is introduced. A polygon is pseudo-star-shaped if there exists a point from which the whole interior of the polygon can be seen, provided it is possible to [&hellip;]<\/p>\n","protected":false},"author":49,"featured_media":0,"parent":11827,"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":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>TR-117: Recognizing Polygons, or How to Spy - School of Computer Science<\/title>\n<meta name=\"description\" content=\"Carleton University Technical Report TR-117 August 1987 Recognizing Polygons, or How to Spy James A. 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