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Adaptive simplification of huge sets of terrain grid data for geosciences applications

We propose and discuss a new Lepp-surface method able to produce a small triangular approximation of huge sets of terrain grid data by using a two-goal strategy that assures both small approximation error and well-shaped 3D triangles. This is a refinement method which starts with a coarse initial triangulation of the input data, and incrementally selects and adds data points into the mesh as follows: for the edge e having the highest error in the mesh, one or two points close to (one or two) terminal edges associated with e are inserted in the mesh. The edge error is computed by adding the triangle approximation errors of the two triangles that share e, while each L2-norm triangle error is computed by using a curvature tensor (a good approximation of the surface) at a representative point associated with both triangles. The method produces triangular approximations that capture well the relevant features of the terrain surface by naturally producing well-shaped triangles. We compare our method with a pure L2-norm optimization method

The first, second and fourth authors were partially supported by the Spanish Ministerio de Educacion y Ciencia under grant TIN2010-20590-C02-02

© Journal of Computational and Applied Mathematics, 2011, vol. 236, núm. 6, p. 1410-1422

Elsevier

Autor: Coll Arnau, Narcís
Guerrieri, Marité
Rivara, Maria Cecilia
Sellarès i Chiva, Joan Antoni
Data: 2011
Resum: We propose and discuss a new Lepp-surface method able to produce a small triangular approximation of huge sets of terrain grid data by using a two-goal strategy that assures both small approximation error and well-shaped 3D triangles. This is a refinement method which starts with a coarse initial triangulation of the input data, and incrementally selects and adds data points into the mesh as follows: for the edge e having the highest error in the mesh, one or two points close to (one or two) terminal edges associated with e are inserted in the mesh. The edge error is computed by adding the triangle approximation errors of the two triangles that share e, while each L2-norm triangle error is computed by using a curvature tensor (a good approximation of the surface) at a representative point associated with both triangles. The method produces triangular approximations that capture well the relevant features of the terrain surface by naturally producing well-shaped triangles. We compare our method with a pure L2-norm optimization method
The first, second and fourth authors were partially supported by the Spanish Ministerio de Educacion y Ciencia under grant TIN2010-20590-C02-02
Format: application/pdf
ISSN: 0377-0427
Accés al document: http://hdl.handle.net/10256/11991
Llenguatge: eng
Editor: Elsevier
Col·lecció: MICINN/PN 2011-2013/TIN2010-20590-C02-02
Reproducció digital del document publicat a: http://dx.doi.org/10.1016/j.cam.2011.09.005
Articles publicats (D-IMA)
És part de: © Journal of Computational and Applied Mathematics, 2011, vol. 236, núm. 6, p. 1410-1422
Drets: Tots els drets reservats
Matèria: Infografia
Computer graphics
Visualització tridimensional (Informàtica)
Three-dimensional display systems
Títol: Adaptive simplification of huge sets of terrain grid data for geosciences applications
Tipus: info:eu-repo/semantics/article
Repositori: DUGiDocs

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