Fast Generation of Smooth Implicit Surface Based onPiecewise Polynomial
Fast Generation of Smooth Implicit Surface Based onPiecewise Polynomial
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DOI：
10.3970/cmes.2015.107.187
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发表时间：
2015-07
影响因子：
2.4
通讯作者：
T. Itoh;S. Nakata
中科院分区：
文献类型：
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作者：
T. Itoh;S. Nakata
为了加快生成基于分段多项式的标量field g(Xxx)的速度，提出了一种确定生成g(Xxx)所必需的field值的新方法。在该方法中，不需要生成g(Xxx)的中间体，即可以直接从给定点数据确定fi_eld值。数值实验表明，该方法确定fi场强的计算时间比传统方法少10.4~12.7倍。此外，在给定的点上，用该方法得到的g(Xxx)的精度与传统方法几乎相同。此外，在所有单元数目较大的情况下，该方法的计算时间几乎不受给定点数目的影响。
: To speed up generating a scalar field g ( xxx ) based on a piecewise polynomial, a new method for determining field values that are indispensable to generate g ( xxx ) has been proposed. In the proposed method, an intermediate for generating g ( xxx ) does not required, i.e., the field values can directly be determined from given point data. Numerical experiments show that the computation time for determining the field values by the proposed method is about 10.4–12.7 times less than that of the conventional method. In addition, on the given points, the accuracy of g ( xxx ) obtained by using the proposed method is almost the same as that of the conventional method. Furthermore, the computation time of the proposed method is almost not affected by the number of given points for the case where the number of all cells is large.