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BEGIN:VEVENT
DTSTAMP:20250110T023312Z
LOCATION:Hall B5 (1)\, B Block\, Level 5
DTSTART;TZID=Asia/Tokyo:20241203T170500
DTEND;TZID=Asia/Tokyo:20241203T171600
UID:siggraphasia_SIGGRAPH Asia 2024_sess109_papers_612@linklings.com
SUMMARY:All you need is rotation: Construction of developable strips
DESCRIPTION:Technical Papers\n\nTakashi Maekawa (Waseda University) and Fe
 lix Scholz (Johannes Kepler University Linz)\n\nWe present a novel approac
 h to generate developable strips along a space curve. The key idea of the 
 new method is to use the rotation angle between the Frenet frame of the in
 put space curve, and its Darboux frame of the curve on the resulting devel
 opable strip as a free design parameter, thereby revolving the strip aroun
 d the tangential axis of the input space curve. This angle is not restrict
 ed to be constant but it can be any differentiable function defined on the
  curve, thereby creating a large design space of developable strips that s
 hare a common directrix curve. The range of possibilities for choosing the
  rotation angle is diverse, encompassing constant angles, linearly varying
  angles, sinusoidal patterns, and even solutions derived from initial valu
 e problems involving ordinary differential equations. This enables the pot
 ential of the proposed method to be used for a wide range of practical app
 lications, spanning fields such as architectural design, industrial design
 , and papercraft modeling. In our computational and physical examples, we 
 demonstrate the flexibility of the method by constructing, among others, t
 oroidal and helical windmill blades for papercraft models, curved foldings
 , triply orthogonal structures, and developable strips featuring a log-aes
 thetic directrix curve.\n\nRegistration Category: Full Access, Full Access
  Supporter\n\nLanguage Format: English Language\n\nSession Chair: Haisen Z
 hao (Shandong University)
URL:https://asia.siggraph.org/2024/program/?id=papers_612&sess=sess109
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