Best data-dependent triangulations

Lyuba Alboul; G. Kloosterman; C.R. Traas; Rudolf M.J. van Damme

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

Best data-dependent triangulations

Lyuba Alboul, G. Kloosterman, C.R. Traas, Rudolf M.J. van Damme

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

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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	2000
Issue number	119
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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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.",

keywords = "Surface Reconstruction, Polyhedral metrics, Data-dependent triangulations, Curvature",

author = "Lyuba Alboul and G. Kloosterman and C.R. Traas and {van Damme}, {Rudolf M.J.}",

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T1 - Best data-dependent triangulations

AU - Alboul, Lyuba

AU - Kloosterman, G.

AU - Traas, C.R.

AU - van Damme, Rudolf M.J.

PY - 2000

Y1 - 2000

N2 - 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.

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

VL - 2000

SP - 1

EP - 12

JO - Journal of computational and applied mathematics

JF - Journal of computational and applied mathematics

SN - 0377-0427

IS - 119

ER -