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PRODID:-//Memento EPFL//
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SUMMARY:Multi-stable elastic knots with self-contact
DTSTART:20220822T100000
DTEND:20220822T120000
DTSTAMP:20260509T101823Z
UID:0be31290402c48623e2a2e325ec70e1bdef88aa429682851f3b4f970
CATEGORIES:Conferences - Seminars
DESCRIPTION:Michele Vidulis\nEDIC candidacy exam\nExam president: Prof. We
 nzel Jakob\nThesis advisor: Prof. Mark Pauly\nCo-examiner: Prof. John Madd
 ocks\n\nAbstract\nKnots can be studied from a topological\, geometric\,\no
 r physical perspective. The topological structure of a closed\ncurve\, enc
 oded by its knot type\, constrains the set of geometric\nconfigurations th
 e curve can assume in R3. When the curve is\nendowed with material thickne
 ss\, the impermeability of physical\nbodies additionally restricts the sha
 pe space. We show how this\nspace is rich of interesting equilibrium state
 s\, and we discuss\nhow we plan to investigate its properties.\nIn this pr
 oposal\, we discuss three papers at the background of\nour research. We st
 art by introducing a reduced model for the\nsimulation of discrete elastic
  rods. We then discuss how contacts\ncan be accounted for in physics-based
  simulation. Finally\, we\npresent an elegant theorem that shows how the t
 opology of a\nclosed curve can influence its geometry.\n\nBackground paper
 s\n\n	Discrete elastic rods (Bergou et al. 2008\, available here: http://w
 ww.cs.columbia.edu/cg/rods/)\n	Incremental potential contact: intersection
 -and inversion-free\, large-deformation dynamics (Li et al. 2020\, availab
 le here: https://ipc-sim.github.io)\n	On the total curvature of knots (Mil
 nor 1949\, available here: https://www.jstor.org/stable/pdf/1969467.pdf)\n
 \n\n 
LOCATION:BC 333 https://plan.epfl.ch/?room==BC%20333
STATUS:CONFIRMED
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