Efficient algorithms for approximating a multi-dimensional voxel terrain by a unimodal terrain

Danny Z. Chen; Jinhee Chun; Naoki Katoh; Takeshi Tokuyama

Efficient algorithms for approximating a multi-dimensional voxel terrain by a unimodal terrain

Danny Z. Chen, Jinhee Chun, Naoki Katoh, 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

21 被引用数 (Scopus)

抄録

We consider the problem of approximating a function on a d-dimensional voxel grid by a unimodal function to minimize the L₂ approximation error with respect to a given measure distribution on the grid. The output unimodal function gives a layered structure on the voxel grid, and we give efficient algorithms for computing the optimal approximation under a reasonable assumption on the shape of each horizontal layer. Our main technique is a dominating cut algorithm for a graph.

本文言語	English
ページ（範囲）	238-248
ページ数	11
ジャーナル	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
巻	3106
出版ステータス	Published - 2004 12 1

ASJC Scopus subject areas

Theoretical Computer Science
Computer Science(all)

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引用スタイル

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