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  Traveling Salesman-Based Curve Reconstruction in Polynomial Time

Althaus, E., & Mehlhorn, K. (2001). Traveling Salesman-Based Curve Reconstruction in Polynomial Time. SIAM Journal on Computing, 31, 27-66.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-313D-6 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-313E-4
Genre: Journal Article

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 Creators:
Althaus, Ernst1, Author           
Mehlhorn, Kurt1, Author           
Affiliations:
1Algorithms and Complexity, MPI for Informatics, Max Planck Society, ou_24019              

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 Abstract: An instance of the curve reconstruction problem is a finite sample set $V$ of an unknown curve $\gamma$. The task is to connect the points in $V$ in the order in which they lie on $\gamma$. Giesen~\cite{Giesen:TSP} showed recently that the Traveling Salesman tour of $V$ solves the reconstruction problem under fairly week assumptions on $\gamma$ and $V$. We extend his result along three dimensions. We weaken the assumptions, give an alternate proof, and show that in the context of curve reconstruction, the Traveling Salesman tour can be constructed in polynomial time.

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Language(s): eng - English
 Dates: 2006-11-092001
 Publication Status: Issued
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 Rev. Type: Peer
 Identifiers: eDoc: 344456
Other: Local-ID: C1256428004B93B8-7C04B324978725EFC1256A8E0064302F-AltMeh2001j
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Title: SIAM Journal on Computing
Source Genre: Journal
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Pages: - Volume / Issue: 31 Sequence Number: - Start / End Page: 27 - 66 Identifier: ISSN: 0097-5397