Optimally cutting a surface into a disk

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August undefined, 2024

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 … 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.

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WebTo 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 … 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 … greater cambridge local plan site submissions

CiteSeerX — Optimally cutting a surface into a disk

WebCutting a surface into a Disk Jie Gao Nov. 27, 2002 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 … 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 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. fl impurity\\u0027s

Optimally cutting a surface into a disk DeepAI

CiteSeerX — Optimally Cutting a Surface into a Disk

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, … WebOptimally 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. greater cambridge area in which countryWebOptimally 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 ... greater cambridge local plan first proposals

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Optimally cutting a surface into a disk

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 1 Introduction Several applications of three-dimensional surfaces require information about the underlying topological structure in …

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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. 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.

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, … 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 …

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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.

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 … flimsee discount codeWebwww.cs.uiuc.edu greater cambridge local plan timetableWebOptimally 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 ... greater cambridge partnership minutesWebJan 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... flims cresta hotelWebSurface 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. greater cambridge planning policyWebWe 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 … greater cambridge planning adviceWebJun 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 … greater cambridge partnership city access