Optimally cutting a surface into a disk

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August undefined, 2024

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 … 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 …

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WebOct 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. WebCutting a surface into a Disk Jie Gao Nov. 27, 2002 orange county patch

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WebNov 14, 2003 · 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, … 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. WebAug 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 … iphone randomly shuts down

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WebJan 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 ... 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 … orange county patent lawyerWebOptimally 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. iphone randomly shut off won\u0027t turn on

"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

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 … 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) …

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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 … 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 …

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 … 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 ...

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. 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 ...

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.

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. orange county parks floridaWebWe 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 … iphone randomly crashing appWebTo 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 … orange county parks reservationsWebOct 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. iphone randomly reset itselfWebJan 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, … orange county pccWebAbstract. 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 … iphone randomly saying no sim card installedWebJul 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 … iphone ranking 2022