Reeb spaces of piecewise linear mappings

著者: Herbert Edelsbrunner, John Harer, Amit K. Patel - Proceedings of the twenty-fourth annual symposium on Computational geometry 2008 被引用: 105

Generalizing the concept of a Reeb graph, the Reeb space of a multivariate continuous mapping identifies points of the domain that belong to a common component of the preimage of a point in the range. We study the local and global structure of this space for generic, piecewise linear mappings on a combinatorial manifold.