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  Polyline Fitting of Planar Points under Min-sum Criteria

Aronov, B., Asano, T., Katoh, N., Mehlhorn, K., & Tokuyama, T. (2006). Polyline Fitting of Planar Points under Min-sum Criteria. International Journal of Computational Geometry and Applications, 16, 97-116.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-23BA-3 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0024-3F40-B
Genre: Journal Article

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 Creators:
Aronov, Boris1, Author           
Asano, Tetsuo1, Author           
Katoh, Naoki, Author
Mehlhorn, Kurt1, Author           
Tokuyama, Takeshi, Author
Affiliations:
1Algorithms and Complexity, MPI for Informatics, Max Planck Society, ou_24019              

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 Abstract: Fitting a curve of a certain type to a given set of points in the plane is a basic problem in statistics and has numerous applications. We consider fitting a polyline with k joints under the min-sum criteria with respect to L1- and L2 -metrics, which are more appropriate measures than uniform and Hausdorff metrics in statistical context. We present efficient algorithms for the 1-joint versions of the problem and fully polynomial-time approximation schemes for the general k-joint versions.

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Language(s): eng - English
 Dates: 2007-04-082006
 Publication Status: Issued
 Pages: -
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: eDoc: 314580
Other: Local-ID: C1256428004B93B8-4975B3F8D71B70D6C12571C500423733-mehlhorn06z
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Title: International Journal of Computational Geometry and Applications
Source Genre: Journal
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Pages: - Volume / Issue: 16 Sequence Number: - Start / End Page: 97 - 116 Identifier: -