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@ -909,6 +909,17 @@ Teillaud"
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pages = "19--27",
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pages = "19--27",
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year = "2003"}
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year = "2003"}
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@inproceedings{ cgal:g-ctcmi-16,
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title={Construction of topologically correct and manifold isosurfaces},
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author={Grosso, Roberto},
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booktitle={Computer Graphics Forum},
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volume={35},
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number={5},
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pages={187--196},
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year={2016},
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organization={Wiley Online Library}
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}
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@inproceedings{ cgal:g-frseb-99
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@inproceedings{ cgal:g-frseb-99
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,author = "B. G{\"a}rtner"
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,author = "B. G{\"a}rtner"
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,title = "Fast and robust smallest enclosing balls"
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,title = "Fast and robust smallest enclosing balls"
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@ -75,7 +75,7 @@ MC does not preserve the sharp features present in the isovalue of the input sca
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\subsection subsectmc Topologically Correct Marching Cubes (TMC)
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\subsection subsectmc Topologically Correct Marching Cubes (TMC)
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This algorithm is an extension to MC and provides additional guarantees for the output \cgalCite{g-ctcmi-16}.
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This algorithm is an extension to MC and provides additional guarantees for the output \cgalCite{cgal:g-ctcmi-16}.
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It generates as output a mesh that is homeomorphic to the trilinear interpolant of the input scalar field inside each cube.
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It generates as output a mesh that is homeomorphic to the trilinear interpolant of the input scalar field inside each cube.
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This means that the output mesh can accurately represent small complex features.
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This means that the output mesh can accurately represent small complex features.
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For example, a tunnel of the isosurface within a single cell is topologically resolved.
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For example, a tunnel of the isosurface within a single cell is topologically resolved.
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