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

情報学研究科・システム情報科学専攻

研究成果: Article › 査読

2 被引用数 (Scopus)

抄録

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.

本文言語	English
ページ（範囲）	77-88
ページ数	12
ジャーナル	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
巻	3341
DOI	https://doi.org/10.1007/978-3-540-30551-4_9
出版ステータス	Published - 2004

ASJC Scopus subject areas

Theoretical Computer Science
Computer Science(all)

文献へのアクセス

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

フィンガープリント「Polyline fitting of planar points under min-sum criteria」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル

@article{bfda147578414152bede5fbdff07b804,

title = "Polyline fitting of planar points under min-sum criteria",

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.",

author = "Boris Aronov and Tetsuo Asano and Naoki Katoh and Kurt Mehlhorn and Takeshi Tokuyama",

year = "2004",

doi = "10.1007/978-3-540-30551-4_9",

language = "English",

volume = "3341",

pages = "77--88",

journal = "Lecture Notes in Computer Science",

issn = "0302-9743",

publisher = "Springer Verlag",

}

TY - JOUR

T1 - Polyline fitting of planar points under min-sum criteria

AU - Aronov, Boris

AU - Asano, Tetsuo

AU - Katoh, Naoki

AU - Mehlhorn, Kurt

AU - Tokuyama, Takeshi

PY - 2004

Y1 - 2004

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=33746197717&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33746197717&partnerID=8YFLogxK

U2 - 10.1007/978-3-540-30551-4_9

DO - 10.1007/978-3-540-30551-4_9

M3 - Article

AN - SCOPUS:33746197717

VL - 3341

SP - 77

EP - 88

JO - Lecture Notes in Computer Science

JF - Lecture Notes in Computer Science

SN - 0302-9743

ER -