Optimally cutting a surface into a disk

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August undefined, 2024

WebJun 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. 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 …

Optimally Cutting a Surface Into a Disk∗ - DocsLib

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. sims 3 wii cheats

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WebOptimally cutting a surface into a disk Item Preview remove-circle Share or Embed This Item. Share to Twitter. Share to Facebook. Share to Reddit. Share to Tumblr. Share to Pinterest. Share via email. Webangular 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 … 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. sims 3 wickery glen

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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 … 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- … rbc low test resultsWebOct 22, 2014 · 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. rbc low test

"WebJun 5, 2002 · 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 … " - Optimally cutting a surface into a disk

Optimally cutting a surface into a disk

Cutting a Surface into a Disk - ResearchGate

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. http://www.cs.uiuc.edu/%7Ejeffe/pubs/schema.html

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WebCiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): 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 …

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 … WebWe 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 …

WebWe consider the problem of cutting a set of edges on a poly- hedral manifoldsurface, possibly with boundary, to obtain Applications when this is important include surface pa- a single topological disk, minimizing either the total num- rameterization [14, 29] and texture mapping [2, 28]. In the ber of cut edges or their total length. 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 …

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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 … sims 3 white cas backgroundWebJan 1, 2015 · Optimally Cutting a Surface into a Disk. Article. Full-text available. Aug 2002; Jeff Erickson; Sariel Har-Peled; We consider the problem of cutting a set of edges on a polyhedral manifold surface ... rbc low visaWebto 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 … rbc low rate interestWebWe 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 … sims 3 wiki into the futureWebOptimally 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 ... sims 3 wii consoleWebOptimally cutting a surface into a disk, by Jeff Erickson and Sariel Har-Peled, in SoCG02. Minimize the total weight of the cut graph. e.g., the total length of the cut. 6 Definitions M compact 2-manifold with boundary. Genus g maximum number of disjoint non-separating cycles of M. k number of boundary components. rbc low volatility fundWebJan 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... rbc low value