Leila De Floriani
ABSTRACT
In our previous work [2], we have shown that a non-manifold, mixed-dimensional object described by simplicial complexes can be decomposed in a unique way into regular components, all belonging to a well-understood class. Based on such decomposition, we define here a two-level topological data structure for representing non-manifold objects in any dimension: the first level represents components; while the second level represents the connectivity relation among them. The resulting data structure is compact and scalable, allowing for the efficient treatment of singularities without burdening well-behaved parts of a complex with excessive space overheads.
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Index Terms
- Representation of non-manifold objects
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