A general rule for disk and hemisphere partition into equal-area cells
A general rule for disk and hemisphere partition into equal-area cells
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DOI：
10.1016/j.comgeo.2012.01.011
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发表时间：
2012-08
期刊：
影响因子：
--
通讯作者：
B. Beckers;P. Beckers
中科院分区：
文献类型：
--
作者：
B. Beckers;P. Beckers
A new general rule is presented to define procedures in order to cut a disk or a hemisphere into an imposed number of equal-area cells. The system has several degrees of freedom that can be fixed, for instance, by enforcing the cells aspect ratios. Therefore, the cells can have very comparable forms, i.e. close to the square. This kind of method is effectively useful because it is not possible to build exact dense uniform distributions of points on the sphere. However, it will be shown that it is easy to cover the sphere, the hemisphere or the disk with equal-area cells. This capability makes easy, for instance, the implementation of stratified sampling in Monte Carlo methods. Moreover, the use of different azimuthal projections allows to link problems initially stated either on the hemisphere or within the circle.
