On accuracy of marching isosurfacing methods

Authors:
Cuilan Wang;Timothy S. Newman;Jong Kwan Lee
Affiliations:
The University of Alabama in Huntsville, Huntsville, AL;The University of Alabama in Huntsville, Huntsville, AL;The University of Alabama in Huntsville, Huntsville, AL
Venue:
SPBG'08 Proceedings of the Fifth Eurographics / IEEE VGTC conference on Point-Based Graphics
Year:
2008

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Abstract

Representational accuracy of the isosurface meshes produced by well-known marching isosurfacing methods is considered. Accuracy is determined versus the isosurface given by trilinear interpolation and quantified using a new measure of volumetric divergence. The new measure is an accurate estimate of spatial discrepancy between a produced mesh and the isosurface of trilinear interpolation. Through experimental testing using the measure, suitability of the considered methods to well-model the isosurface of trilinear interpolation's behavior on grid cell interiors is also established.