Deforming surface meshes

Siu Wing Cheng; Jiongxin Jin

doi:10.1007/978-3-319-06053-8_4

Deforming surface meshes

Siu Wing Cheng^*, Jiongxin Jin

^*Corresponding author for this work

Department of Computer Science and Engineering

Research output: Chapter in Book/Conference Proceeding/Report › Conference Paper published in a book › peer-review

Abstract

We study the problem of maintaining a deforming surface mesh, specified only by a dense sample of n points that move with the surface. We propose a motion model under which the class of (ε, α)-meshes can be efficiently maintained by a combination of edge flips and insertion and deletion of vertices. We can enforce bounded aspect ratios and a small approximation error throughout the deformation.

Original language	English
Title of host publication	New Challenges in Grid Generation and Adaptivity for Scientific Computing
Editors	Luca Formaggia, Simona Perotto
Publisher	Springer International Publishing
Pages	69-89
Number of pages	21
ISBN (Print)	9783319060521
DOIs	https://doi.org/10.1007/978-3-319-06053-8_4
Publication status	Published - 2015
Event	4th Tetrahedron Workshop on Grid Generation for Numerical Computation, 2013 - Verbania, Italy Duration: 1 Jul 2013 → 3 Jul 2013

Publication series

Name	SEMA SIMAI Springer Series
Volume	5
ISSN (Print)	2199-3041
ISSN (Electronic)	2199-305X

Conference

Conference	4th Tetrahedron Workshop on Grid Generation for Numerical Computation, 2013
Country/Territory	Italy
City	Verbania
Period	1/07/13 → 3/07/13

Bibliographical note

Publisher Copyright:
© 2015, Springer International Publishing Switzerland.

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10.1007/978-3-319-06053-8_4

Cite this

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title = "Deforming surface meshes",

abstract = "We study the problem of maintaining a deforming surface mesh, specified only by a dense sample of n points that move with the surface. We propose a motion model under which the class of (ε, α)-meshes can be efficiently maintained by a combination of edge flips and insertion and deletion of vertices. We can enforce bounded aspect ratios and a small approximation error throughout the deformation.",

author = "Cheng, \{Siu Wing\} and Jiongxin Jin",

note = "Publisher Copyright: {\textcopyright} 2015, Springer International Publishing Switzerland.; 4th Tetrahedron Workshop on Grid Generation for Numerical Computation, 2013 ; Conference date: 01-07-2013 Through 03-07-2013",

year = "2015",

doi = "10.1007/978-3-319-06053-8\_4",

language = "English",

isbn = "9783319060521",

series = "SEMA SIMAI Springer Series",

publisher = "Springer International Publishing",

pages = "69--89",

editor = "Luca Formaggia and Simona Perotto",

booktitle = "New Challenges in Grid Generation and Adaptivity for Scientific Computing",

}

Cheng, SW & Jin, J 2015, Deforming surface meshes. in L Formaggia & S Perotto (eds), New Challenges in Grid Generation and Adaptivity for Scientific Computing. SEMA SIMAI Springer Series, vol. 5, Springer International Publishing, pp. 69-89, 4th Tetrahedron Workshop on Grid Generation for Numerical Computation, 2013, Verbania, Italy, 1/07/13. https://doi.org/10.1007/978-3-319-06053-8_4

Deforming surface meshes. / Cheng, Siu Wing; Jin, Jiongxin.
New Challenges in Grid Generation and Adaptivity for Scientific Computing. ed. / Luca Formaggia; Simona Perotto. Springer International Publishing, 2015. p. 69-89 (SEMA SIMAI Springer Series; Vol. 5).

Research output: Chapter in Book/Conference Proceeding/Report › Conference Paper published in a book › peer-review

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AU - Jin, Jiongxin

PY - 2015

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N2 - We study the problem of maintaining a deforming surface mesh, specified only by a dense sample of n points that move with the surface. We propose a motion model under which the class of (ε, α)-meshes can be efficiently maintained by a combination of edge flips and insertion and deletion of vertices. We can enforce bounded aspect ratios and a small approximation error throughout the deformation.

AB - We study the problem of maintaining a deforming surface mesh, specified only by a dense sample of n points that move with the surface. We propose a motion model under which the class of (ε, α)-meshes can be efficiently maintained by a combination of edge flips and insertion and deletion of vertices. We can enforce bounded aspect ratios and a small approximation error throughout the deformation.

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U2 - 10.1007/978-3-319-06053-8_4

DO - 10.1007/978-3-319-06053-8_4

M3 - Conference Paper published in a book

SN - 9783319060521

T3 - SEMA SIMAI Springer Series

SP - 69

EP - 89

BT - New Challenges in Grid Generation and Adaptivity for Scientific Computing

A2 - Formaggia, Luca

A2 - Perotto, Simona

PB - Springer International Publishing

T2 - 4th Tetrahedron Workshop on Grid Generation for Numerical Computation, 2013

Y2 - 1 July 2013 through 3 July 2013

ER -

Deforming surface meshes

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