A Fast Method to Calculate the Volumetric Divergence Metric for Evaluating the Accuracy of the Extracted Isosurface
Cuilan Wang · Proceedings of the ACM on Computer Graphics and Interactive Techniques · 2018
In this paper, a new method is introduced to calculate the volumetric divergence (VD) metric, which is defined as the volume between the extracted isosurface mesh and the isosurface given by trilinear interpolation. This metric can be used to evaluate the accuracy of the extracted isosurface mesh against the trilinear interpolation isosurface. In the new method, each cube in a scalar volumetric dataset is sliced, the cross-sectional area of the VD region on each slice is calculated analytically, and then all the cross-sectional areas are integrated numerically to generate the volume of the VD region (i.e., the VD metric). The more the cube is sliced, the more accurate the metric becomes. The existing method that calculates the VD metric is a pure numerical method. Its execution time is long when the metric accuracy is high. The new method is 15-70 times faster than the existing method when both methods achieve the same level of accuracy.