Optimally cutting a surface into a disk

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August undefined, 2024

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 … 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 - Stanford University

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 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. chilwell used cars

[cs/0207004] Optimally cutting a surface into a disk - arXiv

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 … 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. 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 … gradient for text css

Optimally cutting a surface into a disk

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 … 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 …

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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.

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 … 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, …

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 … 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 …

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 …

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 … gradient gives back foundation reviewsWebOptimally Cutting a Surface into a Disk 1 1 Introduction Several applications of three-dimensional surfaces require information about the underlying topological structure in … gradient health linkedinWebABSTRACT 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- … gradient health incWebOptimally 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. gradient from black to whiteWebangular 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 … gradient foundation fundsWebOct 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. gradient from top to bottom cssWebWe 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 … gradienthealth dicom