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  Curve reconstruction: Connecting dots with good reason

Dey, T. K., Mehlhorn, K., & Ramos, E. A. (1999). Curve reconstruction: Connecting dots with good reason. In Proceedings of the 15th Annual Symposium on Computational Geometry (SCG-99) (pp. 197-206). New York, USA: ACM.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-356C-9 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-356E-5
Genre: Conference Paper

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 Creators:
Dey, Tamal K.1, Author           
Mehlhorn, Kurt1, Author           
Ramos, Edgar A.1, Author           
Affiliations:
1Algorithms and Complexity, MPI for Informatics, Max Planck Society, ou_24019              

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 Abstract: Curve reconstruction algorithms are supposed to reconstruct curves from point samples. Recent papers present algorithms that come with a guarantee: Given a sufficiently dense sample of a closed smooth curve, the algorithms construct the correct polygonal reconstruction. Nothing is claimed about the output of the algorithms, if the input is not a dense sample of a closed smooth curve, e.g., a sample of a curve with endpoints. We present an algorithm that comes with a guarantee for any set $P$ of input points. The algorithm constructs a polygonal reconstruction $G$ and a smooth curve $\Gamma$ that justifies $G$ as the reconstruction from $P$.

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Language(s): eng - English
 Dates: 2001-04-041999
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 344438
Other: Local-ID: C1256428004B93B8-64FD94A32625DBDCC12568AE00634913-DeMeRa1999
 Degree: -

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Title: SCG 1999
Place of Event: Miami Beach, Florida
Start-/End Date: 1999-06-13 - 1999-06-16

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Title: Proceedings of the 15th Annual Symposium on Computational Geometry (SCG-99)
Source Genre: Proceedings
 Creator(s):
Affiliations:
Publ. Info: New York, USA : ACM
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 197 - 206 Identifier: -