{"id":297,"date":"2026-07-07T18:45:54","date_gmt":"2026-07-07T16:45:54","guid":{"rendered":"https:\/\/www.lombaers.be\/tesselles\/prim-jarnik\/"},"modified":"2026-07-17T13:08:13","modified_gmt":"2026-07-17T11:08:13","slug":"prim-jarnik","status":"publish","type":"realisations","link":"https:\/\/www.lombaers.be\/?realisations=tesselles\/prim-jarnik","title":{"rendered":"Prim-Jarn\u00edk"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\"><em>Chemins optimaux qui \u00e9voquent les nervures des feuilles, des \u00e9clairs ou des r\u00e9seaux fluviaux.<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Dans notre interpr\u00e9tation de cet algorithme de graphe, nous explorons le probl\u00e8me de la connexion de tous les points d&rsquo;un espace en utilisant la plus petite distance totale possible. L&rsquo;algorithme fait cro\u00eetre un arbre en s\u00e9lectionnant de mani\u00e8re r\u00e9p\u00e9t\u00e9e l&rsquo;ar\u00eate la plus courte possible qui relie la structure existante \u00e0 un nouveau point.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Plut\u00f4t que de repr\u00e9senter les connexions comme pr\u00e9sentes ou absentes, nous appliquons un gradient de cr\u00eate qui cr\u00e9e un paysage topographique o\u00f9 les ar\u00eates de l&rsquo;arbre forment des cr\u00eates sur\u00e9lev\u00e9es qui se r\u00e9tr\u00e9cissent progressivement pour devenir des vall\u00e9es. Cette approche transforme la pr\u00e9cision math\u00e9matique de la recherche de connexions optimales en motifs organiques et fluides qui peuvent \u00e9voquer des syst\u00e8mes naturels comme les r\u00e9seaux fluviaux ou les nervures des feuilles.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Chemins optimaux qui \u00e9voquent les nervures des feuilles, des \u00e9clairs ou des r\u00e9seaux fluviaux.<\/p>\n","protected":false},"featured_media":304,"parent":270,"menu_order":35,"template":"","categories":[],"class_list":["post-297","realisations","type-realisations","status-publish","has-post-thumbnail","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/www.lombaers.be\/index.php?rest_route=\/wp\/v2\/realisations\/297","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.lombaers.be\/index.php?rest_route=\/wp\/v2\/realisations"}],"about":[{"href":"https:\/\/www.lombaers.be\/index.php?rest_route=\/wp\/v2\/types\/realisations"}],"version-history":[{"count":1,"href":"https:\/\/www.lombaers.be\/index.php?rest_route=\/wp\/v2\/realisations\/297\/revisions"}],"predecessor-version":[{"id":450,"href":"https:\/\/www.lombaers.be\/index.php?rest_route=\/wp\/v2\/realisations\/297\/revisions\/450"}],"up":[{"embeddable":true,"href":"https:\/\/www.lombaers.be\/index.php?rest_route=\/wp\/v2\/realisations\/270"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.lombaers.be\/index.php?rest_route=\/wp\/v2\/media\/304"}],"wp:attachment":[{"href":"https:\/\/www.lombaers.be\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=297"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.lombaers.be\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=297"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}