Adaptive simplicial grids from cross-sections of monotone complexes - Edelsbrunner, Herbert; Waupotitsch, Roman (International Journal of Computational Geometry and Applications, 2000)
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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