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• W2013343575 abstract "Many data sets are sampled on regular lattices in two, three or more dimensions, and recent work has shown that statistical properties of these data sets must take into account the continuity of the underlying physical phenomena. However, the effects of quantization on the statistics have not yet been accounted for. This paper therefore reconciles the previous papers to the underlying mathematical theory, develops a mathematical model of quantized statistics of continuous functions, and proves convergence of geometric approximations to continuous statistics for regular sampling lattices. In addition, the computational cost of various approaches is considered, and recommendations made about when to use each type of statistic." @default.
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• W2013343575 date "2013-02-01" @default.
• W2013343575 modified "2023-10-01" @default.
• W2013343575 title "Integrating Isosurface Statistics and Histograms" @default.
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• W2013343575 doi "https://doi.org/10.1109/tvcg.2012.118" @default.
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