ON A NEW METHOD FOR CONSTRUCTING GOOD POINT SETS ON SPHERES
ON A NEW METHOD FOR CONSTRUCTING GOOD POINT SETS ON SPHERES
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DOI：
10.1007/bf02189312
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发表时间：
1993-01-01
影响因子：
0.8
通讯作者：
WAGNER, G
中科院分区：
文献类型：
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作者：
WAGNER, G
基于距离函数(势)和距离泛函(能量)，我们使用等权求积公式来构造d-空间(d大于或等于3)中球面上的N个点集，这些点集相对于偏差概念几乎是最优的。通过将这种方法与概率方法相结合，我们得到了由N个等长分段生成的带极坐标对球的几乎最好的可能逼近。
We use quadrature formulas with equal weights in order to construct N point sets on spheres in d-space (d greater-than-or-equal-to 3) which are almost optimal with respect to a discrepancy concept, based on distance functions (potentials) and distance functionals (energies). By combining this approach with the probabilistic method, we obtain almost best possible approximations of balls by zonotopes, generated by N segments of equal length.