Computational Elastic Knots

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Type
Thesis
Authors
Zhao, Xin
Advisors
Pottmann, Helmut cc
Committee Members
Ketcheson, David I. cc
Wonka, Peter cc
Program
Applied Mathematics and Computational Science
KAUST Department
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Date
2013-05

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Abstract
Elastic rods have been studied intensively since the 18th century. Even now the theory of elastic rods is still developing and enjoying popularity in computer graphics and physical-based simulation. Elastic rods also draw attention from architects. Architectural structures, NODUS, were constructed by elastic rods as a new method of form-finding. We study discrete models of elastic rods and NODUS structures. We also develop computational tools to find the equilibria of elastic rods and the shape of NODUS. Applications of elastic rods in forming torus knot and closing Bishop frame are included in this thesis.
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http://hdl.handle.net/10754/292980
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Applied Mathematics and Computational Science Program