Approximating Isosurfaces by Guaranteed-quality Triangular Meshes

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Date
2020
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association and John Wiley & Sons Ltd.
Abstract
We describe a new method for approximating an implicit surface F by a piecewise-flat triangulated surface whose triangles are as close as possible to equilateral. The main advantage is improved mesh quality which is guaranteed for smooth surfaces. The GradNormal algorithm generates a triangular mesh that gives a piecewise-differentiable approximation of F, with angles between 35.2 and 101.5 degrees. As the mesh size approaches 0, the mesh converges to F through surfaces that are isotopic to F.
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@article{
10.1111:cgf.14066
, journal = {Computer Graphics Forum}, title = {{
Approximating Isosurfaces by Guaranteed-quality Triangular Meshes
}}, author = {
Hass, Joel
and
Trnkova, Maria
}, year = {
2020
}, publisher = {
The Eurographics Association and John Wiley & Sons Ltd.
}, ISSN = {
1467-8659
}, DOI = {
10.1111/cgf.14066
} }
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