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Interpolating Subdivision for Meshes with Arbitrary Topology

by Denis Zorin, Peter Schröder, Wim Sweldens
"... Subdivision is a powerful paradigm for the generation of surfaces of arbitrary topology. Given an initial triangular mesh the goal is to produce a smooth and visually pleasing surface whose shape is controlled by the initial mesh. Of particular interest are interpolating schemes since they match the ..."
Abstract - Cited by 236 (24 self) - Add to MetaCart
Subdivision is a powerful paradigm for the generation of surfaces of arbitrary topology. Given an initial triangular mesh the goal is to produce a smooth and visually pleasing surface whose shape is controlled by the initial mesh. Of particular interest are interpolating schemes since they match

Flows on Surfaces of Arbitrary Topology

by Jos Stam , 2003
"... In this paper we introduce a method to simulate fluid flows on smooth surfaces of arbitrary topology: an effect never seen before. We achieve this by combining a two-dimensional stable fluid solver with an atlas of parametrizations of a Catmull-Clark surface. The contributions of this paper are: (i) ..."
Abstract - Cited by 92 (0 self) - Add to MetaCart
In this paper we introduce a method to simulate fluid flows on smooth surfaces of arbitrary topology: an effect never seen before. We achieve this by combining a two-dimensional stable fluid solver with an atlas of parametrizations of a Catmull-Clark surface. The contributions of this paper are: (i

Parameterizing Meshes with Arbitrary Topology

by Swen Campagna, Hans-peter Seidel - In Image and Multidimensional Digital Signal Processing , 1998
"... Parameterizing meshes is a basic requirement for many applications, including, e.g., reverse engineering, texture mapping, and re-meshing. We present a new fast algorithm that uses the hierarchical representation of a polygonal mesh with arbitrary topology for generating a geometrydriven parameteriz ..."
Abstract - Cited by 11 (1 self) - Add to MetaCart
Parameterizing meshes is a basic requirement for many applications, including, e.g., reverse engineering, texture mapping, and re-meshing. We present a new fast algorithm that uses the hierarchical representation of a polygonal mesh with arbitrary topology for generating a geometrydriven

Interpolatory Subdivision on Open Quadrilateral Nets with Arbitrary Topology

by Leif Kobbelt - Computer Graphics Forum , 1996
"... A simple interpolatory subdivision scheme for quadrilateral nets with arbitrary topology is presented which generates C 1 surfaces in the limit. The scheme satisfies important requirements for practical applications in computer graphics and engineering. These requirements include the necessity to ..."
Abstract - Cited by 154 (10 self) - Add to MetaCart
A simple interpolatory subdivision scheme for quadrilateral nets with arbitrary topology is presented which generates C 1 surfaces in the limit. The scheme satisfies important requirements for practical applications in computer graphics and engineering. These requirements include the necessity

Parametrization for Surfaces with Arbitrary Topologies

by Xianfeng Gu , 2002
"... Surface parametrization is a fundamental problem in computer graphics. It is essential for operations such as texture mapping, texture synthesis, interactive 3D painting, remeshing, multi-resolution analysis and mesh compression. Conformal parameterization, which preserves angles, has many nice prop ..."
Abstract - Cited by 5 (1 self) - Add to MetaCart
Surface parametrization is a fundamental problem in computer graphics. It is essential for operations such as texture mapping, texture synthesis, interactive 3D painting, remeshing, multi-resolution analysis and mesh compression. Conformal parameterization, which preserves angles, has many nice properties such as having no local distortion on textures, and being independent of triangulation or resolution. Existing conformal parameterization methods partition a mesh into several charts, each of which is then parametrized and packed to an atlas. These methods suffer from limitations such as difficulty in segmenting the mesh and artifacts caused by discontinuities between charts. This work

H-Surfaces with Arbitrary Topology

by Baris Coskunuzer - in H3, arXiv:1311.4629
"... ar ..."
Abstract - Cited by 1 (1 self) - Add to MetaCart
Abstract not found

objects with arbitrary topology

by A Poon A, Ghassan Hamarneh B, Rafeef Abugharbieh A , 2008
"... interactive 3D Livewire segmentation of complex ..."
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interactive 3D Livewire segmentation of complex

Correctness of belief propagation in Gaussian graphical models of arbitrary topology

by Yair Weiss, William T. Freeman - NEURAL COMPUTATION , 1999
"... Local "belief propagation" rules of the sort proposed byPearl [12] are guaranteed to converge to the correct posterior probabilities in singly connected graphical models. Recently, a number of researchers have empirically demonstrated good performance of "loopy belief propagation&q ..."
Abstract - Cited by 296 (7 self) - Add to MetaCart
Local "belief propagation" rules of the sort proposed byPearl [12] are guaranteed to converge to the correct posterior probabilities in singly connected graphical models. Recently, a number of researchers have empirically demonstrated good performance of "loopy belief propagation" -- using these same rules on graphs with loops. Perhaps the most dramatic instance is the near Shannonlimit performance of "Turbo codes", whose decoding algorithm is equivalentto loopy belief propagation. Except for the

Interpolating Subdivision for Meshes with Arbitrary Topology

by Denis Zoriny, Wim Sweldens
"... Subdivision is a powerful paradigm for the generation of surfaces of arbitrary topology. Given an initial triangular mesh the goal is to produce a smooth and visually pleasing surface whose shape is controlled by the initial mesh. Of particular interest are interpolating schemes since they match the ..."
Abstract - Add to MetaCart
Subdivision is a powerful paradigm for the generation of surfaces of arbitrary topology. Given an initial triangular mesh the goal is to produce a smooth and visually pleasing surface whose shape is controlled by the initial mesh. Of particular interest are interpolating schemes since they match

Progress in Arbitrary Topology Deformable Surfaces

by A. Saminathan, A. J. Stoddart, A. Hilton, J. Illingworth - In British Machine Vision Conference , 1997
"... Most deformable surfaces used in computer vision are restricted to a simple underlying mesh topology. This is a considerable limitation when dealing with complicated objects whose topology is not known in advance. In previous work we introduced a deformable surface that can take on arbitrary topolog ..."
Abstract - Cited by 3 (3 self) - Add to MetaCart
Most deformable surfaces used in computer vision are restricted to a simple underlying mesh topology. This is a considerable limitation when dealing with complicated objects whose topology is not known in advance. In previous work we introduced a deformable surface that can take on arbitrary
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