Length-preserved natural boundary for intrinsic parameterization

This paper proposes a fast approach to generate length-preserved natural boundary for intrinsic parameterization. Given a triangular mesh with disklike topology, we compute an optimal boundary for its parameterization. An optimal boundary is expected to be length-preserved with the length of every t...

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Vydané v:CAD/CG 2005: Ninth International Conference on Computer-Aided Design and Computer Graphics (07-10 December 2005/Hong Kong, China) s. 6 pp.
Hlavný autor: Wang, C.C.L.
Médium: Konferenčný príspevok..
Jazyk:English
Vydavateľské údaje: IEEE 2005
Predmet:
Application software
Computer graphics
Constraint optimization
Linear programming
Mesh generation
Nonlinear distortion
Shape
Surface reconstruction
Surface texture
Topology
ISBN:9780769524733, 0769524737
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Abstract This paper proposes a fast approach to generate length-preserved natural boundary for intrinsic parameterization. Given a triangular mesh with disklike topology, we compute an optimal boundary for its parameterization. An optimal boundary is expected to be length-preserved with the length of every triangular edge on the boundary is invariant before and after parameterization; also, the boundary is requested to be natural where the inner angle is close to the angle excess at every boundary vertex on the given mesh. Computation of a length-preserved natural boundary is formulated as a constrained non-linear optimization problem, the procedure of solving which is in general very time-consuming. Here, we speed up the optimization by adopting the scheme of sequential linearly constrained programming. It is shown at the end of this paper that our length-preserved natural boundary could greatly improve the speed and quality of the original intrinsic parameterization.
AbstractList This paper proposes a fast approach to generate length-preserved natural boundary for intrinsic parameterization. Given a triangular mesh with disklike topology, we compute an optimal boundary for its parameterization. An optimal boundary is expected to be length-preserved with the length of every triangular edge on the boundary is invariant before and after parameterization; also, the boundary is requested to be natural where the inner angle is close to the angle excess at every boundary vertex on the given mesh. Computation of a length-preserved natural boundary is formulated as a constrained non-linear optimization problem, the procedure of solving which is in general very time-consuming. Here, we speed up the optimization by adopting the scheme of sequential linearly constrained programming. It is shown at the end of this paper that our length-preserved natural boundary could greatly improve the speed and quality of the original intrinsic parameterization.
Author Wang, C.C.L.
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PublicationTitle CAD/CG 2005: Ninth International Conference on Computer-Aided Design and Computer Graphics (07-10 December 2005/Hong Kong, China)
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Snippet This paper proposes a fast approach to generate length-preserved natural boundary for intrinsic parameterization. Given a triangular mesh with disklike...
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StartPage 6 pp.
SubjectTerms Application software
Computer graphics
Constraint optimization
Linear programming
Mesh generation
Nonlinear distortion
Shape
Surface reconstruction
Surface texture
Topology
Title Length-preserved natural boundary for intrinsic parameterization
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