@article {13285,
	title = {Decomposing non-manifold objects in arbitrary dimensions},
	journal = {Graphical Models},
	volume = {65},
	year = {2003},
	month = {2003/05//},
	pages = {2 - 22},
	abstract = {We address the problem of building valid representations of non-manifold d-dimensional objects through an approach based on decomposing a non-manifold d-dimensional object into an assembly of more regular components. We first define a standard decomposition of d-dimensional non-manifold objects described by abstract simplicial complexes. This decomposition splits a non-manifold object into components that belong to a well-understood class of objects, that we call initial quasi-manifold. Initial quasi-manifolds cannot be decomposed without cutting them along manifold faces. They form a decidable superset of d-manifolds for d⩾3, and coincide with manifolds for d⩽2. We then present an algorithm that computes the standard decomposition of a general non-manifold complex. This decomposition is unique, and removes all singularities which can be removed without cutting the complex along its manifold faces.},
	isbn = {1524-0703},
	doi = {10.1016/S1524-0703(03)00006-7},
	url = {http://www.sciencedirect.com/science/article/pii/S1524070303000067},
	author = {De Floriani, Leila and Mesmoudi,Mostefa M. and Morando,Franco and Puppo,Enrico}
}
