Simulation of simplicity: a technique to cope with degenerate cases in geometric algorithms
ACM Transactions on Graphics (TOG)
ACM SIGGRAPH 97 Visual Proceedings: The art and interdisciplinary programs of SIGGRAPH '97
Fast detection of meaningful isosurfaces for volume data visualization
Proceedings of the conference on Visualization '01
Salient iso-surface detection with model-independent statistical signatures
Proceedings of the conference on Visualization '01
Proceedings of the conference on Visualization '01
Isosurfaces on optimal regular samples
VISSYM '03 Proceedings of the symposium on Data visualisation 2003
The history of histograms (abridged)
VLDB '03 Proceedings of the 29th international conference on Very large data bases - Volume 29
GI '07 Proceedings of Graphics Interface 2007
3D Edge Detection by Selection of Level Surface Patches
Journal of Mathematical Imaging and Vision
Parallel mean shift for interactive volume segmentation
MLMI'10 Proceedings of the First international conference on Machine learning in medical imaging
EuroVis'10 Proceedings of the 12th Eurographics / IEEE - VGTC conference on Visualization
Progressive splatting of continuous scatterplots and parallel coordinates
EuroVis'11 Proceedings of the 13th Eurographics / IEEE - VGTC conference on Visualization
Evaluating isosurfaces with level-set-based information maps
EuroVis '13 Proceedings of the 15th Eurographics Conference on Visualization
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In this paper, we show that histograms represent spatial function distributions with a nearest neighbour interpolation. We confirm that this results in systematic underrepresentation of transitional features of the data, and provide new insight why this occurs. We further show that isosurface statistics, which use higher quality interpolation, give better representations of the function distribution. We also use our experimentally collected isosurface statistics to resolve some questions as to the formal complexity of isosurfaces.