Logo der Universität Wien

Integrating Isosurface Statistics and Histograms

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.

Grafik Top
Authors
Grafik Top
Supplemental Material
Citation
Category
Journal Paper
Divisions
Visualization and Data Analysis
Journal or Publication Title
IEEE Transactions on Visualization and Computer Graphics
ISSN
1077-2626
Page Range
pp. 263-277
Number
2
Volume
19
Date
February 2013
Export
Grafik Top
Contact us
Faculty of Computer Science
University of Vienna

Währinger Straße 29
A-1090 Vienna