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  Curve reconstruction: Connecting dots with good reason

Dey, T. K., Mehlhorn, K., & Ramos, E. A. (2000). Curve reconstruction: Connecting dots with good reason. Computational Geometry, 15, 229-244.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-3362-F Version Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-3363-D
Genre: Journal Article

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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: 2008-01-042000
 Publication Status: Issued
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: eDoc: 344454
Other: Local-ID: C1256428004B93B8-E0D72707291A67AFC12569FC005AE002-Ramos2000b
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Title: Computational Geometry
Source Genre: Journal
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Pages: - Volume / Issue: 15 Sequence Number: - Start / End Page: 229 - 244 Identifier: ISSN: 0925-7721