Computational Elastic Knots

Handle URI:
http://hdl.handle.net/10754/292980
Title:
Computational Elastic Knots
Authors:
Zhao, Xin
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.
Advisors:
Pottmann, Helmut ( 0000-0002-3195-9316 )
Committee Member:
Ketcheson, David I. ( 0000-0002-1212-126X ) ; Wonka, Peter ( 0000-0003-0627-9746 )
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Program:
Applied Mathematics and Computational Science
Issue Date:
May-2013
Type:
Thesis
Appears in Collections:
Applied Mathematics and Computational Science Program; Theses; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.advisorPottmann, Helmuten
dc.contributor.authorZhao, Xinen
dc.date.accessioned2013-05-29T08:49:27Z-
dc.date.available2013-05-29T08:49:27Z-
dc.date.issued2013-05en
dc.identifier.urihttp://hdl.handle.net/10754/292980en
dc.description.abstractElastic 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.en
dc.language.isoenen
dc.subjectelastic rodsen
dc.subjectknotsen
dc.subjectsimulationen
dc.titleComputational Elastic Knotsen
dc.typeThesisen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
thesis.degree.grantorKing Abdullah University of Science and Technologyen_GB
dc.contributor.committeememberKetcheson, David I.en
dc.contributor.committeememberWonka, Peteren
thesis.degree.disciplineApplied Mathematics and Computational Scienceen
thesis.degree.nameMaster of Scienceen
dc.person.id118455en
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