Putting holes in holey geometry: Topology change for arbitrary surfaces Bernstein, Gilbert Wojtan, Christopher J ; https://orcid.org/0000-0001-6646-5546 ddc:000 This paper presents a method for computing topology changes for triangle meshes in an interactive geometric modeling environment. Most triangle meshes in practice do not exhibit desirable geometric properties, so we develop a solution that is independent of standard assumptions and robust to geometric errors. Specifically, we provide the first method for topology change applicable to arbitrary non-solid, non-manifold, non-closed, self-intersecting surfaces. We prove that this new method for topology change produces the expected conventional results when applied to solid (closed, manifold, non-self-intersecting) surfaces---that is, we prove a backwards-compatibility property relative to prior work. Beyond solid surfaces, we present empirical evidence that our method remains tolerant to a variety of surface aberrations through the incorporation of a novel error correction scheme. Finally, we demonstrate how topology change applied to non-solid objects enables wholly new and useful behaviors. ACM 2013 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/2467 https://research-explorer.ista.ac.at/download/2467/4768 Bernstein G, Wojtan C. Putting holes in holey geometry: Topology change for arbitrary surfaces. <i>ACM Transactions on Graphics</i>. 2013;32(4). doi:<a href="https://doi.org/10.1145/2461912.2462027">10.1145/2461912.2462027</a> eng info:eu-repo/semantics/altIdentifier/doi/10.1145/2461912.2462027 info:eu-repo/semantics/altIdentifier/wos/000321840100003 info:eu-repo/semantics/openAccess