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Implementation and analysis of a bubble packing method for surface mesh generation

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TitleInfo
Title
Implementation and analysis of a bubble packing method for surface mesh generation
Name (type = personal)
NamePart (type = family)
Saini
NamePart (type = given)
Saurabh
NamePart (type = date)
1986-
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Saurabh Saini
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author
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Ramaswami
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Suneeta
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Suneeta Ramaswami
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Advisory Committee
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chair
Name (type = personal)
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Birget
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Jean Camille
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Jean Camille Birget
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Advisory Committee
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co-chair
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Alessandrini
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Steve
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Steve Alessandrini
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Advisory Committee
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co-chair
Name (type = corporate)
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Rutgers University
Role
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degree grantor
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Camden Graduate School
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school
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theses
OriginInfo
DateCreated (qualifier = exact)
2019
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2019-01
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2019
Place
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xx
Language
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eng
Abstract (type = abstract)
This thesis presents an implementation and analysis of the bubble packing method used for surface mesh generation. The bubble packing method was first proposed by Dr Kenji Shimada in 1993 in his PhD thesis. The method generates a triangle mesh, a set of connected triangles that satisfy requirements of well-shaped triangles, compatible with a given domain, and with controlled node spacing or triangle size. This type of mesh is mainly used in finite element analysis and utilised in many simulations. There has not been much research on the bubble packing method since the 90s. The goal of this thesis is to implement and analyse the bubble packing method in order to create a path for possible future improvements and applicability of this approach to meshing. The approach in this method consists of three stages: placing nodes by spatial subdivision, moving nodes on proximity-based repulsive/attractive internode forces and finally, after nodes reach the required stability, connect nodes to create a set of well-shaped triangles by Delaunay triangulation. The first two stages, placement and movement of nodes, are carried out by placing a spherical region around each node and packing the spheres in the given domain as tightly as possible. The original description of the bubble packing method lacks many important details that are necessary for its practical implementation. This thesis also presents approaches to fill the gaps in the original algorithm so that it can be implemented.
Subject (authority = RUETD)
Topic
Computer Science
Subject (authority = ETD-LCSH)
Topic
Numerical grid generation (Numerical analysis)
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Rutgers University Electronic Theses and Dissertations
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ETD_9450
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electronic resource
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Supplementary File: Image 01
Extent
1 online resource (62 pages : illustrations)
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M.S.
Note (type = bibliography)
Includes bibliographical references
Note (type = statement of responsibility)
by Saurabh Saini
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Camden Graduate School Electronic Theses and Dissertations
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rucore10005600001
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NjNbRU
Identifier (type = doi)
doi:10.7282/t3-hnas-6e59
Genre (authority = ExL-Esploro)
ETD graduate
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The author owns the copyright to this work.
RightsHolder (type = personal)
Name
FamilyName
Saini
GivenName
Saurabh
Role
Copyright Holder
RightsEvent
Type
Permission or license
DateTime (encoding = w3cdtf); (qualifier = exact); (point = start)
2018-12-23 23:52:18
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Saurabh Saini
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Rutgers University. Camden Graduate School
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I hereby grant to the Rutgers University Libraries and to my school the non-exclusive right to archive, reproduce and distribute my thesis or dissertation, in whole or in part, and/or my abstract, in whole or in part, in and from an electronic format, subject to the release date subsequently stipulated in this submittal form and approved by my school. I represent and stipulate that the thesis or dissertation and its abstract are my original work, that they do not infringe or violate any rights of others, and that I make these grants as the sole owner of the rights to my thesis or dissertation and its abstract. I represent that I have obtained written permissions, when necessary, from the owner(s) of each third party copyrighted matter to be included in my thesis or dissertation and will supply copies of such upon request by my school. I acknowledge that RU ETD and my school will not distribute my thesis or dissertation or its abstract if, in their reasonable judgment, they believe all such rights have not been secured. I acknowledge that I retain ownership rights to the copyright of my work. I also retain the right to use all or part of this thesis or dissertation in future works, such as articles or books.
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Open
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