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Discrete Differential Form Subdivision and Vector Field Generation over Volumetric Domain

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Figure

Figure 2.4: The topological configuration of the 1-ring domain around a regular vertex
Figure 2.7: Mappings from the r-simplices in the regular mesh into the Z3-lattice
Figure 2.8: Examples of the correspondence between the edges/facets and the Z3-lattice
Figure 2.12: 0-form subdivision stencil in the regular setting. The star marks the position of the
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