Robust adaptive meshes for implicit surfaces

Robust adaptive meshes for implicit surfaces
Afonso Paiva, Hélio Lopes, Thomas Lewiner, Luiz Henrique de Figueiredo

Abstract:

This work introduces a robust algorithm for computing good polygonal approximations of implicit surfaces, where robustness entails recovering the exact topology of the implicit surface. Furthermore, the approximate triangle mesh adapts to the geometry and to the topology of the real implicit surface. This method generates an octree subdivided according to the interval evaluation of the implicit function in order to guarantee the robustness, and to the interval automatic differentiation in order to adapt the octree to the geometry of the implicit surface. The triangle mesh is then generated from that octree through an enhanced dual marching.

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BibTeX:

@inproceedings{adaptive_implicit_sibgrapi,
    author = {Afonso Paiva and Hélio Lopes and Thomas Lewiner and Luiz Henrique de Figueiredo},
    title = {Robust adaptive meshes for implicit surfaces},
    year = {2006},
    month = {october},
    booktitle = {Sibgrapi 2006 (XIX Brazilian Symposium on Computer Graphics and Image Processing)},
    pages = {205--212},
    publisher = {IEEE},
    address = {Manaus, AM},
    doi = {10.1109/SIBGRAPI.2006.40},
    url = {\url{http://thomas.lewiner.org/pdfs/adaptive_implicit_sibgrapi.pdf}}
}