{"id":15058,"date":"2022-06-16T20:31:09","date_gmt":"2022-06-17T00:31:09","guid":{"rendered":"https:\/\/carleton.ca\/scs\/?page_id=15058"},"modified":"2026-06-08T15:32:59","modified_gmt":"2026-06-08T19:32:59","slug":"tr-214-camera-placement-in-integer-lattices","status":"publish","type":"page","link":"https:\/\/carleton.ca\/scs\/research\/scs-technical-reports\/technical-reports-1992\/tr-214-camera-placement-in-integer-lattices\/","title":{"rendered":"TR-214: Camera Placement in Integer Lattices"},"content":{"rendered":"\n<section class=\"w-screen px-6 cu-section cu-section--white ml-offset-center md:px-8 lg:px-14\">\n    <div class=\"space-y-6 cu-max-w-child-5xl  md:space-y-10 cu-prose-first-last\">\n\n            <div class=\"cu-textmedia flex flex-col lg:flex-row mx-auto gap-6 md:gap-10 my-6 md:my-12 first:mt-0 max-w-5xl\">\n        <div class=\"justify-start cu-textmedia-content cu-prose-first-last\" style=\"flex: 0 0 100%;\">\n            <header class=\"font-light prose-xl cu-pageheader md:prose-2xl cu-component-updated cu-prose-first-last\">\n                                    <h1 class=\"cu-prose-first-last font-semibold !mt-2 mb-4 md:mb-6 relative after:absolute after:h-px after:bottom-0 after:bg-cu-red after:left-px text-3xl md:text-4xl lg:text-5xl lg:leading-[3.5rem] pb-5 after:w-10 text-cu-black-700 not-prose\">\n                        TR-214: Camera Placement in Integer Lattices\n                    <\/h1>\n                \n                                \n                            <\/header>\n\n                    <\/div>\n\n            <\/div>\n\n    <\/div>\n<\/section>\n\n\n\n<p class=\"wp-block-paragraph\">ÐÓ°ÉÔ­´´ University<br><a href=\"https:\/\/carleton.ca\/scs\/research\/scs-technical-reports\/technical-reports-1992\/\">Technical Report<\/a>&nbsp;<strong>TR-214<\/strong><br>October 1992<\/p>\n\n\n\n<h2 id=\"camera-placement-in-integer-lattices\" class=\"wp-block-heading\">Camera Placement in Integer Lattices<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Evangelos Kranakis &amp; Michel Pocchiola<\/p>\n\n\n\n<h3 id=\"abstract\" class=\"wp-block-heading\">Abstract<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">The camera placement problem concerns the placement of a fixed number of point-cameras on the integer lattice of d-tuples of integers in order to maximize their visibility. We give a caracterization of optimal configura\u00adtions of size s less than 5d and use it to compute in time O(s logs) an optimal abstract configuration under the assumption that the visibility of a configuration is computable in constant time.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/carleton.ca\/scs\/wp-content\/uploads\/sites\/260\/TR-214.pdf\">TR-214.pdf<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>ÐÓ°ÉÔ­´´ UniversityTechnical Report&nbsp;TR-214October 1992 Camera Placement in Integer Lattices Evangelos Kranakis &amp; Michel Pocchiola Abstract The camera placement problem concerns the placement of a fixed number of point-cameras on the integer lattice of d-tuples of integers in order to maximize their visibility. We give a caracterization of optimal configura\u00adtions of size s less than 5d [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":11910,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"_cu_dining_location_slug":"","footnotes":"","_links_to":"","_links_to_target":""},"cu_page_type":[],"class_list":["post-15058","page","type-page","status-publish","hentry"],"acf":{"cu_post_thumbnail":""},"_links":{"self":[{"href":"https:\/\/carleton.ca\/scs\/wp-json\/wp\/v2\/pages\/15058","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/carleton.ca\/scs\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/carleton.ca\/scs\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/carleton.ca\/scs\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/carleton.ca\/scs\/wp-json\/wp\/v2\/comments?post=15058"}],"version-history":[{"count":2,"href":"https:\/\/carleton.ca\/scs\/wp-json\/wp\/v2\/pages\/15058\/revisions"}],"predecessor-version":[{"id":24476,"href":"https:\/\/carleton.ca\/scs\/wp-json\/wp\/v2\/pages\/15058\/revisions\/24476"}],"up":[{"embeddable":true,"href":"https:\/\/carleton.ca\/scs\/wp-json\/wp\/v2\/pages\/11910"}],"wp:attachment":[{"href":"https:\/\/carleton.ca\/scs\/wp-json\/wp\/v2\/media?parent=15058"}],"wp:term":[{"taxonomy":"cu_page_type","embeddable":true,"href":"https:\/\/carleton.ca\/scs\/wp-json\/wp\/v2\/cu_page_type?post=15058"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}