NDLI: Length-preserved natural boundary for intrinsic parameterization

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Length-preserved natural boundary for intrinsic parameterization

Content Provider	IEEE Xplore Digital Library
Author	Wang, C.C.L.
Copyright Year	2005
Description	Author affiliation: Chinese Univ. of Hong Kong, China (Wang, C.C.L.)
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.
File Size	349860
File Format	PDF
ISBN	0769524737
DOI	10.1109/CAD-CG.2005.54
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2005-12-07
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Constraint optimization Surface reconstruction Shape Nonlinear distortion Computer graphics Linear programming Surface texture Topology Application software Mesh generation
Content Type	Text
Resource Type	Article

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