Abstract
In this paper, we present a new technique to generate unbiased samples on isosurfaces. An isosurface, F(x; y; z) = c, of a function, F, is implicitly defined by trilinear interpolation of background grid points. The key idea of our approach is that of treating the isosurface within a grid cell as a graph (height) function in one of the three coordinate axis directions, restricted to where the slope is not too high, and integrating / sampling from each of these three. We use this unbiased sampling algorithm for applications in Monte Carlo integration, Poisson-disk sampling, and isosurface meshing.
Original language | English |
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Pages (from-to) | 1579-1589 |
Journal | IEEE Transactions on Visualization and Computer Graphics |
Volume | 20 |
Issue number | 11 |
DOIs | |
Publication status | Published - 2014 |
Fields of Expertise
- Information, Communication & Computing