{"id":97478,"date":"2025-02-19T13:30:14","date_gmt":"2025-02-19T13:30:14","guid":{"rendered":"https:\/\/peraltafinancing.com\/animation\/simulating-thin-shells-by-bicubic-hermite-elements-physics-based-animation\/"},"modified":"2025-02-19T13:30:14","modified_gmt":"2025-02-19T13:30:14","slug":"simulating-thin-shells-by-bicubic-hermite-elements-physics-based-animation","status":"publish","type":"post","link":"https:\/\/fivemor.com\/?p=97478","title":{"rendered":"Simulating Thin Shells by Bicubic Hermite Elements \u00bb Physics-Based Animation"},"content":{"rendered":"<p> <br \/>\n<\/p>\n<div id=\"post-4082\">\n<div class=\"itemtext\">\n<p>Xingyu Ni*, Xuwen Chen* (joint 1st authors), Cheng Yu, Bin Wang, Baoquan Chen<\/p>\n<p>In this study, we present the bicubic Hermite element method (BHEM), a new computational framework devised for the <a href=\"https:\/\/www.sciencedirect.com\/topics\/earth-and-planetary-sciences\/elastodynamics\">elastodynamic<\/a> simulation of thin-shell structures. The BHEM is constructed based on quadrilateral Hermite patches, which serve as a unified representation for shell geometry, simulation, <a href=\"https:\/\/www.sciencedirect.com\/topics\/engineering\/collision-avoidance\">collision avoidance<\/a>, as well as rendering. Compared with the commonly utilized linear FEM, the BHEM offers higher-order solution spaces, enabling the capture of more intricate and smoother geometries while employing significantly fewer <a href=\"https:\/\/www.sciencedirect.com\/topics\/engineering\/finite-element-method\">finite elements<\/a>. In comparison to other high-order methods, the BHEM achieves conforming continuity for Kirchhoff\u2013Love (KL) shells with minimal complexity. Furthermore, by leveraging the subdivision and convex hull properties of Hermite patches, we develop an efficient algorithm for ray-patch intersections, facilitating collision handling in simulations and ray tracing in rendering. This eliminates the need for laborious remodeling of the pre-existing surface as the conventional approaches do. We substantiate our claims with comprehensive experiments, which demonstrate the high accuracy and versatility of the proposed method.<\/p>\n<p><a href=\"https:\/\/starryuniv.cn\/\">Simulating Thin Shells by Bicubic Hermite Elements<\/a><\/p>\n<\/p><\/div>\n<div class=\"postinfo\">\n\t\t\t<span class=\"postmeta\">Posted by christopherbatty on <a href=\"https:\/\/www.physicsbasedanimation.com\/2024\/10\/18\/simulating-thin-shells-by-bicubic-hermite-elements\/\">October 18th, 2024<\/a> <\/span><br \/>\n\t\t\t\t\t\t<span class=\"postcats\">Posted in <a href=\"https:\/\/www.physicsbasedanimation.com\/category\/uncategorized\/\" rel=\"category tag\">Uncategorized<\/a><\/span><br \/>\n\t\t\t\t\t\t\t\t\t<span class=\"posttags\"\/>\n\t\t\t\t<\/div>\n<p>\t\t\t\t\t<!--\n\t\t\t\t<rdf:RDF xmlns:rdf=\"http:\/\/www.w3.org\/1999\/02\/22-rdf-syntax-ns#\"\n\t\t\txmlns:dc=\"http:\/\/purl.org\/dc\/elements\/1.1\/\"\n\t\t\txmlns:trackback=\"http:\/\/madskills.com\/public\/xml\/rss\/module\/trackback\/\">\n\t\t<rdf:Description rdf:about=\"https:\/\/www.physicsbasedanimation.com\/2024\/10\/18\/simulating-thin-shells-by-bicubic-hermite-elements\/\"\n    dc:identifier=\"https:\/\/www.physicsbasedanimation.com\/2024\/10\/18\/simulating-thin-shells-by-bicubic-hermite-elements\/\"\n    dc:title=\"Simulating Thin Shells by Bicubic Hermite Elements\"\n    trackback:ping=\"https:\/\/www.physicsbasedanimation.com\/2024\/10\/18\/simulating-thin-shells-by-bicubic-hermite-elements\/trackback\/\" \/>\n<\/rdf:RDF>\t\t\t-->\n\t\t<\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Xingyu Ni*, Xuwen Chen* (joint 1st authors), Cheng Yu, Bin Wang, Baoquan Chen In this study, we present the bicubic Hermite element method (BHEM), a new computational framework devised for the elastodynamic simulation of thin-shell structures. The BHEM is constructed based on quadrilateral Hermite patches, which serve as a unified representation for shell geometry, simulation, [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":4302,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12035],"tags":[6119,45923,26009,45924,18075,7653,45922,578],"dealstore":[],"offerexpiration":[],"class_list":["post-97478","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-animation","tag-animation","tag-bicubic","tag-elements","tag-hermite","tag-physicsbased","tag-shells","tag-simulating","tag-thin"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.4 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Simulating Thin Shells by Bicubic Hermite Elements \u00bb Physics-Based Animation - Som2ny Network<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/fivemor.com\/?p=97478\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Simulating Thin Shells by Bicubic Hermite Elements \u00bb Physics-Based Animation - Som2ny Network\" \/>\n<meta property=\"og:description\" content=\"Xingyu Ni*, Xuwen Chen* (joint 1st authors), Cheng Yu, Bin Wang, Baoquan Chen In this study, we present the bicubic Hermite element method (BHEM), a new computational framework devised for the elastodynamic simulation of thin-shell structures. 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