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| Title | Adaptive Simplification of Huge Sets of Terrain Grid Data for Geosciences Applications |
| Authors | Narcís Coll, Marité Guerrieri, María Cecilia Rivara, J. Antoni Sellarès |
| Publication date | 2011 |
| Abstract |
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. |
| Pages | 1410-1422 |
| Volume | 236 |
| Journal name | Journal of Computational and Applied Mathematics |
| Publisher | Elsevier Science (Amsterdam, The Netherlands) |
| Reference URL |
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