Best data-dependent triangulations

Lyuba Alboul; Gertjan Kloosterman; Cornelis Traas; Ruud van Damme

doi:10.1016/S0377-0427(00)00368-X

Best data-dependent triangulations

Lyuba Alboul
, Gertjan Kloosterman
, Cornelis Traas
, Ruud van Damme

Research output: Contribution to journal › Article › Academic › peer-review

18 Citations (Scopus)

158 Downloads (Pure)

Abstract

When reconstructing a surface from irregularly spaced data we need to decide how to identify a good triangulation. As a measure of quality we consider various differential geometrical properties, namely integral absolute Gaussian curvature, integral absolute mean curvature and area. A comparison is made with data-dependent triangulation methods that exist in the literature.

Original language	English
Pages (from-to)	1-12
Number of pages	12
Journal	Journal of computational and applied mathematics
Volume	119
Issue number	1-2
DOIs	https://doi.org/10.1016/S0377-0427(00)00368-X
Publication status	Published - 2000

Keywords

Surface Reconstruction
Polyhedral metrics
Data-dependent triangulations
Curvature

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10.1016/S0377-0427(00)00368-XLicence: Other

ArticleFinal published version, 836 KBLicence: Other

Best data-dependent triangulations
Alboul, L., Kloosterman, G., Traas, C. R. & van Damme, R. M. J., 1999, Enschede: University of Twente. (Memorandum; no. 1487)
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title = "Best data-dependent triangulations",

abstract = "When reconstructing a surface from irregularly spaced data we need to decide how to identify a good triangulation. As a measure of quality we consider various differential geometrical properties, namely integral absolute Gaussian curvature, integral absolute mean curvature and area. A comparison is made with data-dependent triangulation methods that exist in the literature.",

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AU - Alboul, Lyuba

AU - Kloosterman, Gertjan

AU - Traas, Cornelis

AU - van Damme, Ruud

PY - 2000

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AB - When reconstructing a surface from irregularly spaced data we need to decide how to identify a good triangulation. As a measure of quality we consider various differential geometrical properties, namely integral absolute Gaussian curvature, integral absolute mean curvature and area. A comparison is made with data-dependent triangulation methods that exist in the literature.

KW - Surface Reconstruction

KW - Polyhedral metrics

KW - Data-dependent triangulations

KW - Curvature

U2 - 10.1016/S0377-0427(00)00368-X

DO - 10.1016/S0377-0427(00)00368-X

M3 - Article

SN - 0377-0427

VL - 119

SP - 1

EP - 12

JO - Journal of computational and applied mathematics

JF - Journal of computational and applied mathematics

IS - 1-2

ER -

Best data-dependent triangulations

Abstract

Keywords

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Best data-dependent triangulations

Cite this