3D-reconstruction of complex geological interfaces from irregularly distributed and noisy point data
3D-reconstruction of complex geological interfaces from irregularly distributed and noisy point data
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DOI：
10.1016/j.cageo.2006.11.014
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发表时间：
2007-07-01
影响因子：
4.4
通讯作者：
Mallet, Jean-Laurent
中科院分区：
文献类型：
--
作者：
Frank, Tobias;Tertois, Anne-Laure;Mallet, Jean-Laurent
本文介绍了一种新的、精确的、自适应的方法，用于从地震数据或激光扫描仪获得的分散的、无组织的点隐式重建具有复杂几何形状的断层表面。我们将点集嵌入到三维复合体中，在复合体上插值三维隐式函数。3d复合体是一组四面体，隐式函数表示一个尽可能靠近输入数据点的表面。三维复合体的密度可以有效地控制隐函数的精度和重建表面三角形的大小。四面体网格拓扑的不连续使得重构不连续、有界的表面和非常接近的平行块成为可能，而不会在这些区域之间引入不必要的连接（拓扑“手柄”）。为了计算隐函数，我们使用离散光滑插值（DSI）方法，该方法带有一组边界、离边界和平滑性约束。插值问题主要不依赖于输入数据点的数量，而是依赖于三维复合体的大小。该方法可应用于断层层和盐顶面的构造。(C) 2007 Elsevier Ltd.版权所有。
In this paper we introduce a new, precise and adaptive method for the implicit reconstruction of faulted surfaces with complex geometry from scattered, unorganized points as obtained from seismic data or laser scanners. We embed the point set into a 3d-complex on which a 3d-implicit function is interpolated. The 3d-complex is a set of tetrahedrons and the implicit function represents a surface that lies as close as possible to the input data points. The density of the 3d-complex can be adapted to efficiently control both the precision of the implicit function and the size of triangles of the reconstructed surface. Discontinuities in the topology of the tetrahedral mesh make it possible to reconstruct discontinuous, bounded surfaces and very close parallel patches without introducing unwanted connections (topological "handles") between these regions. To compute the implicit function we use the discrete smooth interpolation (DSI) method with a set of boundary, off-boundary and smoothness constraints. The interpolation problem does not primarily depend on the number of input data points but on the magnitude of the 3d-complex. This method can be applied to the construction of faulted horizons and salt-top surfaces. (C) 2007 Elsevier Ltd. All rights reserved.