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Adaptive Simplicial Grids from Cross-sections of Monotone Complexes

Edelsbrunner, Herbert and Roman Waupotitsch

Proceedings, 6th International Meshing Roundtable, Sandia National Laboratories, pp.253-266, October 1997


We study the maintenance of a simplicial grid or complex under changing density requirements. The proposed method works in any fixed dimension and generates grids by projecting cross-sections of a monotone simplicial complex that lives in one dimension higher than the grid. The density of the grid is adapted by locally moving the cross-section up or down along the extra dimension.

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