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  TSP-Based Curve Reconstruction in Polynomial Time

Althaus, E., & Mehlhorn, K. (2000). TSP-Based Curve Reconstruction in Polynomial Time. In Proceedings of the 11th Annual ACM-SIAM Symposium on Discrete Algorithms (SODA-00) (pp. 686-695). New York, USA: ACM.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-3336-4 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-3337-2
Genre: Conference Paper

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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{SCG99*207} 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: 2005-08-022000
 Publication Status: Issued
 Pages: -
 Publishing info: New York, USA : ACM
 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 344435
Other: Local-ID: C1256428004B93B8-F4443C2749207139C12568A20039664D-AlthausMehlhorn1999
 Degree: -

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Title: Untitled Event
Place of Event: San Francisco, USA
Start-/End Date: 2000-01-09

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Title: Proceedings of the 11th Annual ACM-SIAM Symposium on Discrete Algorithms (SODA-00)
Source Genre: Proceedings
 Creator(s):
Affiliations:
Publ. Info: New York, USA : ACM
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 686 - 695 Identifier: ISBN: 0-89871-453-2