Progressive Volume Models for Rectilinear Data using Tetrahedral Coons Volumes
Progressive Volume Models for Rectilinear Data using Tetrahedral Coons Volumes
复制标题
使用四面体 Coons 体积的直线数据的渐进体积模型
DOI：
10.2312/vissym/vissym00/083-092
复制
发表时间：
2000
期刊：
影响因子：
--
通讯作者：
G. Nielson
中科院分区：
文献类型：
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作者：
David Holliday;G. Nielson
我们提出了一种新的技术建模直线体数据。该算法产生三变量模型F（x，y，z），其在四面体上分段定义，该四面体将体积数据拟合到用户指定的公差内。该技术是自适应的，可以在数据需要的地方产生更复杂的高效模型。本技术的新奇在于不需要有效的四面体化。四面体单元仅根据错误条件的要求进行细分。这种类型的细胞分解导致一个连续的模型，通过使用一个四面体的Coons体积，它有能力内插到任意的边界数据。
We present a new technique for modeling rectilinear volume data. The algorithm produces a trivariate model, F(x,y,z), which is piecewise defined over tetrahedra that fits the volume data to within a user specified tolerance. The technique is adaptive leading to an efficient model that is more complex where the data demands it. The novelty of the present technique is that a valid tetrahedrization is not required. Tetrahedral cells are subdivided as required by the error condition only. This type of cellular decomposition leads to a continuous model by the use of a tetrahedral Coons volume which has the ability to interpolate to arbitrary boundary data.