Optimally cutting a surface into a disk

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August undefined, 2024

Webto 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 … WebOct 22, 2014 · 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 the total number of cut edges or their total length. We show that this problem is NP-hard in general, even for manifolds without boundary and for punctured spheres.

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WebOptimally Cutting a Surface into a Disk 1 1 Introduction Several applications of three-dimensional surfaces require information about the underlying topological structure in … WebOnce a surface has been cut into a disk (or several disks), further (topologically trivial) cuts are usually necessary to reduce distortion [27, 49, 51]. Many of these algorithms include … the pay gap in china

Cutting a surface to make it simply-connected / cutting a …

WebABSTRACT surface topology, to facilitate algorithms that can be per- formed only if the surface is a topological disk. We consider the problem of cutting a set of edges on a poly- … WebJul 2, 2002 · 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 … WebWe consider the problem of cutting a set of edges on a triangulated oriented manifold surface, possibly with boundary, to obtain a single topological disk, minimizing either the … shy mercat

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Webtitle = "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 … 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 ... the payless experiment woman\u0027s nameWebJun 5, 2002 · Optimally cutting a surface into a disk Pages 244–253 ABSTRACT References Index Terms Comments ABSTRACT 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. the pay later octobergurmanbloomberg

"WebJul 9, 2024 · Would you know of any Python implementation (or any implementation at all) of an algorithm than can cut a non simply-connected shape/path (e.g. a polygon with holes) … " - Optimally cutting a surface into a disk

Optimally cutting a surface into a disk

WebOptimally Cutting a Surface into a Disk Jeff Erickson Sariel Har-Peled. Problem Given: • Polyhedral representation of a 2-manifold (with boundary) Task: • Cut the surface along the edges into a topological disk, minimize total length of cut edges Applications: • Surface parameterization • Texture mapping • Geometric algorithms NP hard ... 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 ...

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WebWe 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 … 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 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.

Webwww.cs.uiuc.edu WebWe 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. We also describe an algorithm …

WebJan 1, 2004 · 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, … WebJan 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...

WebWe consider the problem of cutting a set of edges on a triangulated oriented 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.

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. the pay gap between menWebNov 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 … shymere deshieldsWebWe 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 the total … the paying bankWebangular image, to the surface. Unfortunately, if the surface is not a topological disk, no such map exists. In such a case, the only feasible solution is to cut the surface so that it becomes a topological disk. (Haker et al. [18] present an algorithm for directly texture mapping … the payless experiment woman\\u0027s nameWebCutting a surface into a Disk Jie Gao Nov. 27, 2002 the payload is invalid decryptWebJul 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 … the payg withholding systemWebJul 2, 2002 · 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 punctured spheres. the payless store at rockvale outlets