{"id":840,"date":"2026-06-17T18:03:04","date_gmt":"2026-06-17T18:03:04","guid":{"rendered":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/approximation-of-dupin-cyclide-patches-by-ringed-surfaces-and-its-application-towards-curvature-adapted-5-axis-cnc-machining\/"},"modified":"2026-06-17T18:03:04","modified_gmt":"2026-06-17T18:03:04","slug":"approximation-of-dupin-cyclide-patches-by-ringed-surfaces-and-its-application-towards-curvature-adapted-5-axis-cnc-machining","status":"publish","type":"post","link":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/en\/approximation-of-dupin-cyclide-patches-by-ringed-surfaces-and-its-application-towards-curvature-adapted-5-axis-cnc-machining\/","title":{"rendered":"Approximation of Dupin Cyclide Patches by Ringed Surfaces and Its Application Towards Curvature Adapted 5-Axis CNC Machining"},"content":{"rendered":"<p><em>Alena Lindauerov\u00e1<\/em><br \/><small>Z\u00e1pado\u010desk\u00e1 Univerzita v Plzni, Plze\u0148<\/small><\/p>\n<p>In this presentation, we will discuss an algorithm for approximating a Dupin cyclide patch using a union of motions of circular (flat-end) and\/or toroidal cutters.<\/p>\n<p>We will focus on the design of an adapted curvature-matched tilt function aimed at achieving both high approximation accuracy and gouging-free contact between the cutter and the target cyclide. We will mention closed-form formulas for 2nd order line contact along arbitrary tangent directions.<\/p>\n<p>Finally, the proposed algorithm will be validated and demonstrated on individual Dupin cyclide patches as well as on free-form Dupin cyclide spline surfaces.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Alena Lindauerov\u00e1Z\u00e1pado\u010desk\u00e1 Univerzita v Plzni, Plze\u0148 In this presentation, we will discuss an algorithm for approximating a Dupin cyclide patch using a union of motions of circular (flat-end) and\/or toroidal cutters. We will focus on the design of an adapted curvature-matched tilt function aimed at achieving both high approximation accuracy and gouging-free contact between the [&hellip;]<\/p>\n","protected":false},"author":40,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5],"tags":[],"class_list":["post-840","post","type-post","status-publish","format-standard","hentry","category-presentations"],"_links":{"self":[{"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/posts\/840","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/users\/40"}],"replies":[{"embeddable":true,"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/comments?post=840"}],"version-history":[{"count":0,"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/posts\/840\/revisions"}],"wp:attachment":[{"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/media?parent=840"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/categories?post=840"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/tags?post=840"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}