Construction of Topologically Correct and Manifold Isosurfaces

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Date
2016
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association and John Wiley & Sons Ltd.
Abstract
We present a simple method to describe the geometry and topologically classify the intersection of level sets of trilinear interpolants with a reference unit cell. The solutions of three quadratic equations are used to correctly triangulate the level set within the cell satisfying the conditions imposed by the asymptotic decider. This way the triangulation of isosurfaces across cells borders is manifold and topologically correct. The algorithm presented is intuitive and easy to implement.
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@article{
10.1111:cgf.12975
, journal = {Computer Graphics Forum}, title = {{
Construction of Topologically Correct and Manifold Isosurfaces
}}, author = {
Grosso, Roberto
}, year = {
2016
}, publisher = {
The Eurographics Association and John Wiley & Sons Ltd.
}, ISSN = {
1467-8659
}, DOI = {
10.1111/cgf.12975
} }
Citation