Optimally cutting a surface into a disk
WebNov 12, 2015 · Given a graph G cellularly embedded on a surface Σ of genus g, a cut graph is a subgraph of G such that cutting Σ along G yields a topological disk. We provide a fixed parameter tractable approximation scheme for the problem of computing the shortest cut graph, that is, for any ε > 0, we show how to compute a (1 + ε) approximation of the … WebOptimally Cutting a Surface into a Disk 1. We consider the problem of cutting a set of edges on a polyhedral manifold surface, possibly with boundary, to obtain a single topological disk, minimizing either the total number of cut edges or their total length. We show that this problem is NP-hard, even for manifolds without boundary and for ...
Optimally cutting a surface into a disk
Did you know?
WebJul 30, 2024 · This paper develops a global variational approach to cutting curved surfaces so that they can be flattened into the plane with low metric distortion. Such cuts are a critical component in a variety of algorithms that seek to parameterize surfaces over flat domains, or fabricate structures from flat materials. WebAbstract: We consider the problem of cutting a subset of edges of a triangulated oriented manifold surface, possibly with boundary, to obtain a single topological disk, minimizing …
WebSurface parameterization is necessary for many graphics tasks: texture-preserving simplification, remeshing, surface painting, and precomputation of solid textures. The stretch caused by a given parameterization determines the sampling rate on the surface. WebJul 2, 2002 · Optimally cutting a surface into a disk Jeff Erickson, Sariel Har-Peled We consider the problem of cutting a set of edges on a polyhedral manifold surface, possibly …
WebOptimally Cutting a Surface into a Disk Upgrade to remove ads. Home > Academic Documents > Optimally Cutting a Surface into a Disk. This preview shows page 1-2-24-25 out of 25 pages. Save. View Full Document. Premium Document. Do you want full access? Go Premium and unlock ... WebResearch output: Contribution to journal› Article› peer-review. Overview. Fingerprint. Abstract. We consider the problem of cutting a subset of the edges of a polyhedral …
WebAbstract. We consider the problem of cutting a set of edges on a poly-hedral manifold surface, possibly with boundary, to obtain a single topological disk, minimizing either the … ethiopian free business listingWebJan 1, 2002 · We use a simple, automatic strategy: first identify vertices with energy above a user-specified tolerance ε > 0, then compute a cut passing through all such vertices via the method of Erickson... fireplace store salt lake cityWebCutting a surface into a Disk Jie Gao Nov. 27, 2002 fireplace store minneapolis mnWebWe consider the problem of cutting a set of edges on a polyhedral manifold surface, possibly with boundary, to obtain a single topological disk, minimizing either the total number of cut edges or their total length. We show that this problem is NP-hard, even for manifolds without boundary and for punctured spheres. fireplace store rice lake wiWebtitle = "Optimally Cutting a Surface into a Disk", abstract = "We consider the problem of cutting a subset of the edges of a polyhedral manifold surface, possibly with boundary, to obtain a single topological disk, minimizing either … ethiopian freight forwarders associationWebTo transform a surface into a disk, we need to • Cut along the non-bounding cycles • Cut to connect the boundaries Idea • Decompose into topologically simpler, but not trivial … ethiopian frankincense and myrrhWebto cut the surface beforehand [21, 47]. One method for reducing a manifold to a topological disk is to cut along the boundary of a so-called canonical polygonal schema. This … fireplace store rockville md