Integrating Isosurface Statistics and Histograms

IEEE Transactions on Visualization and Computer Graphics
Brian DuffyTorsten Moller

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.

References

Nov 1, 2006·IEEE Transactions on Visualization and Computer Graphics·Claes LundströmAnders Ynnerman
Nov 4, 2006·IEEE Transactions on Visualization and Computer Graphics·Hamish CarrBarry Denby
Nov 8, 2008·IEEE Transactions on Visualization and Computer Graphics·Sven Bachthaler, Daniel Weiskopf
Nov 8, 2008·IEEE Transactions on Visualization and Computer Graphics·Carlos E ScheideggerCláudio T Silva
Oct 27, 2010·IEEE Transactions on Visualization and Computer Graphics·Marc Khoury, Rephael Wenger

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Citations

Sep 21, 2013·IEEE Transactions on Visualization and Computer Graphics·Ayan BiswasJonathan Woodring
Sep 12, 2015·IEEE Transactions on Visualization and Computer Graphics·Hamish Carr, David Duke
Nov 13, 2015·IEEE Transactions on Visualization and Computer Graphics·Alexey FofonovLars Linsen

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