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Published in:
2005 | OriginalPaper | Chapter
An Algorithm for Decomposing Multi-dimensional Non-manifold Objects into Nearly Manifold Components
Authors : M. Mostefa Mesmoudi, Leila De Floriani, Franco Morando, Enrico Puppo
Published in: Advances in Multiresolution for Geometric Modelling
Publisher: Springer Berlin Heidelberg
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In this paper we address the problem of building valid representations for non-manifold
d
-dimensional objects. To this aim, we have developed a combinatorial approach based on decomposing a non-manifold
d
-dimensional object into an assembly of more regular components, that we call
initial quasi-manifolds
. We present a decomposition algorithm, whose complexity is slightly super-linear in the total number of simplexes. Our approach provides a rigorous basis for designing efficient dimension-independent data structures for describing non-manifold objects.