Polyline fitting of planar points under min-sum criteria

Boris Aronov; Tetsuo Asano; Naoki Katoh; Kurt Mehlhorn; Takeshi Tokuyama

doi:10.1007/978-3-540-30551-4_9

Polyline fitting of planar points under min-sum criteria

Boris Aronov, Tetsuo Asano, Naoki Katoh, Kurt Mehlhorn, Takeshi Tokuyama

INF - System Information Sciences

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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 L ₁- and L²metrics, 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.

Original language	English
Pages (from-to)	77-88
Number of pages	12
Journal	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	3341
DOIs	https://doi.org/10.1007/978-3-540-30551-4_9
Publication status	Published - 2004

ASJC Scopus subject areas

Theoretical Computer Science
Computer Science(all)

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Polyline fitting of planar points under min-sum criteria. / Aronov, Boris; Asano, Tetsuo; Katoh, Naoki; Mehlhorn, Kurt; Tokuyama, Takeshi.

In: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), Vol. 3341, 2004, p. 77-88.

Research output: Contribution to journal › Article › peer-review

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