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X-LIC-LOCATION:Asia/Tokyo
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DTSTAMP:20260817T171533Z
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:Takashi Maekawa (Waseda University) and Felix Scholz (Johannes
  Kepler University Linz)\n\nWe present a novel approach to generate develo
 pable strips along a space curve. The key idea of the new method is to use
  the rotation angle between the Frenet frame of the input space curve, and
  its Darboux frame of the curve on the resulting developable strip as a fr
 ee design parameter, thereby revolving the strip around the tangential axi
 s of the input space curve. This angle is not restricted to be constant bu
 t it can be any differentiable function defined on the curve, thereby crea
 ting a large design space of developable strips that share a common direct
 rix curve. The range of possibilities for choosing the rotation angle is d
 iverse, encompassing constant angles, linearly varying angles, sinusoidal 
 patterns, and even solutions derived from initial value problems involving
  ordinary differential equations. This enables the potential of the propos
 ed method to be used for a wide range of practical applications, spanning 
 fields such as architectural design, industrial design, and papercraft mod
 eling. In our computational and physical examples, we demonstrate the flex
 ibility of the method by constructing, among others, toroidal and helical 
 windmill blades for papercraft models, curved foldings, triply orthogonal 
 structures, and developable strips featuring a log-aesthetic directrix cur
 ve.\n\nRegistration Category: Full Access, Full Access Supporter\n\nLangua
 ge Format: English Language\n\nSession Chair: Haisen Zhao (Shandong Univer
 sity)\n\n
URL:https://asia.siggraph.org/2024/program/?id=papers_612&sess=sess109
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