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Uniformity of Point Samples in Metric Spaces Using Gap Ratio
Teramoto et al. [TAKD06] defined a new measure called the gap ratio that measures the uniformity of a finite point set sampled from S, a bounded subset of R. We generalize this definition of measure over all metric spaces by appealing to covering and packing radius. The definition of gap ratio needs only a metric unlike discrepancy, a widely used uniformity measure, that depends on the notion o...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1959
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1959.9.567