Summary
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.
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Mesmoudi, M.M., De Floriani, L., Morando, F., Puppo, E. (2005). An Algorithm for Decomposing Multi-dimensional Non-manifold Objects into Nearly Manifold Components. In: Dodgson, N.A., Floater, M.S., Sabin, M.A. (eds) Advances in Multiresolution for Geometric Modelling. Mathematics and Visualization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-26808-1_4
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DOI: https://doi.org/10.1007/3-540-26808-1_4
Publisher Name: Springer, Berlin, Heidelberg
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