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589
Metamorphosis of Polyhedral Surfaces using Decomposition
 Computer Graphics Forum
, 2002
"... This paper describes an algorithm for morphing polyhedral surfaces based on their decompositions into patches. ..."
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Cited by 72 (4 self)
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This paper describes an algorithm for morphing polyhedral surfaces based on their decompositions into patches.
Rigidity of polyhedral surfaces
, 2006
"... We study rigidity of polyhedral surfaces and the moduli space of polyhedral surfaces using variational principles. Curvature like quantities for polyhedral surfaces are introduced. Many of them are shown to determine the polyhedral metric up to isometry. The action functionals in the variational a ..."
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Cited by 22 (10 self)
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We study rigidity of polyhedral surfaces and the moduli space of polyhedral surfaces using variational principles. Curvature like quantities for polyhedral surfaces are introduced. Many of them are shown to determine the polyhedral metric up to isometry. The action functionals in the variational
APPROXIMATION OF POLYHEDRAL SURFACE UNIFORMIZATION
"... Abstract. We present a constructive approach for approximating the conformal map (uniformization) of a polyhedral surface to a canonical domain in the plane. The main tool is a characterization of convex spaces of quasiconformal simplicial maps and their approximation properties. As far as we are aw ..."
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Abstract. We present a constructive approach for approximating the conformal map (uniformization) of a polyhedral surface to a canonical domain in the plane. The main tool is a characterization of convex spaces of quasiconformal simplicial maps and their approximation properties. As far as we
Polyhedral surface decomposition with applications
 Computers and Graphics
"... This paper addresses the problem of decomposing a polyhedral surface into “meaningful ” patches. We describe two decomposition algorithms – flooding convex decomposition and watershed decomposition, and show experimental results. Moreover, we discuss three applications which can highly benefit from ..."
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Cited by 48 (5 self)
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This paper addresses the problem of decomposing a polyhedral surface into “meaningful ” patches. We describe two decomposition algorithms – flooding convex decomposition and watershed decomposition, and show experimental results. Moreover, we discuss three applications which can highly benefit from
RIGIDITY OF POLYHEDRAL SURFACES, II
, 2007
"... We study the rigidity of polyhedral surfaces using variational principle. The action functionals are derived from the cosine laws. The main focus of this paper is on the cosine law for a nontriangular region bounded by three possibly disjoint geodesics. Several of these cosine laws were first dis ..."
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Cited by 1 (1 self)
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We study the rigidity of polyhedral surfaces using variational principle. The action functionals are derived from the cosine laws. The main focus of this paper is on the cosine law for a nontriangular region bounded by three possibly disjoint geodesics. Several of these cosine laws were first
On Vertex Offsets of Polyhedral Surfaces
"... Planarfaced mesh surfaces, also known as polyhedral surfaces, that possess vertexoffsets are useful in architectural design for constructing supporting structures, and also of interest in discrete differential geometry. We consider the existence and computation of vertexoffset meshes of general p ..."
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Cited by 1 (1 self)
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Planarfaced mesh surfaces, also known as polyhedral surfaces, that possess vertexoffsets are useful in architectural design for constructing supporting structures, and also of interest in discrete differential geometry. We consider the existence and computation of vertexoffset meshes of general
Inflating polyhedral surfaces
, 2006
"... We prove that all polyhedral surfaces in R 3 have volumeincreasing isometric deformations. This resolves the conjecture of Bleecker who proved it for convex simplicial surfaces [B1]. A version of this result is proved for all convex surfaces in R d. We also discuss limits on the volume of such def ..."
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Cited by 2 (0 self)
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We prove that all polyhedral surfaces in R 3 have volumeincreasing isometric deformations. This resolves the conjecture of Bleecker who proved it for convex simplicial surfaces [B1]. A version of this result is proved for all convex surfaces in R d. We also discuss limits on the volume
Pursuit Evasion on Polyhedral Surfaces
, 2013
"... We consider the following variant of a classical pursuitevasion problem: how many pursuers are needed to capture a single (adversarial) evader on the surface of a 3dimensional polyhedral body? The players move on the closed polyhedral surface, have the same maximum speed, and are always aware of ..."
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Cited by 1 (1 self)
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We consider the following variant of a classical pursuitevasion problem: how many pursuers are needed to capture a single (adversarial) evader on the surface of a 3dimensional polyhedral body? The players move on the closed polyhedral surface, have the same maximum speed, and are always aware
Acute and nonobtuse triangulations of polyhedral surfaces
 Europ. J. Comb
"... Abstract. In this paper, we prove the existence of acute triangulations for general polyhedral surfaces. We also show how to obtain nonobtuse subtriangulations of triangulated polyhedral surfaces. 1. ..."
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Cited by 10 (0 self)
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Abstract. In this paper, we prove the existence of acute triangulations for general polyhedral surfaces. We also show how to obtain nonobtuse subtriangulations of triangulated polyhedral surfaces. 1.
Generalized Shape Operators on Polyhedral Surfaces
"... This work concerns the approximation of the shape operator of smooth surfaces in R 3 from polyhedral surfaces. We introduce two generalized shape operators that are vectorvalued linear functionals on a Sobolev space of vector fields and can be rigorously defined on smooth and on polyhedral surfaces ..."
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Cited by 1 (1 self)
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This work concerns the approximation of the shape operator of smooth surfaces in R 3 from polyhedral surfaces. We introduce two generalized shape operators that are vectorvalued linear functionals on a Sobolev space of vector fields and can be rigorously defined on smooth and on polyhedral
Results 1  10
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589