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  Asymptotic Analysis of Discrete Normals and Curvatures of Polylines

Langer, T., Belyaev, A., & Seidel, H.-P. (2005). Asymptotic Analysis of Discrete Normals and Curvatures of Polylines. In SCCG '05: Proceedings of the 21st spring conference on Computer graphics (pp. 229-232). New York, NY, USA: ACM.

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Datensatz-Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-25CC-9 Versions-Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-25CD-7
Genre: Konferenzbeitrag

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Langer.Torsten.Full.SpaceCurves.pdf (beliebiger Volltext), 173KB
 
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 Urheber:
Langer, Torsten1, Autor           
Belyaev, Alexander1, Autor           
Seidel, Hans-Peter1, Autor           
Affiliations:
1Computer Graphics, MPI for Informatics, Max Planck Society, ou_40047              

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 Zusammenfassung: Accurate estimations of geometric properties of a smooth curve from its discrete approximation are important for many computer graphics and computer vision applications. To assess and improve the quality of such an approximation, we assume that the curve is known in general form. Then we can represent the curve by a Taylor series expansion and compare its geometric properties with the corresponding discrete approximations. In turn we can either prove convergence of these approximations towards the true properties as the edge lengths tend to zero, or we can get hints on how to eliminate the error. In this paper, we propose and study discrete schemes for estimating tangent and normal vectors as well as for estimating curvature and torsion of a smooth 3D curve approximated by a polyline. Thereby we make some interesting findings about connections between (smooth) classical curves and certain estimation schemes for polylines.

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Sprache(n): eng - English
 Datum: 2006-06-192005
 Publikationsstatus: Erschienen
 Seiten: -
 Ort, Verlag, Ausgabe: New York, NY, USA : ACM
 Inhaltsverzeichnis: -
 Art der Begutachtung: -
 Identifikatoren: eDoc: 279006
Anderer: Local-ID: C125675300671F7B-519A2B2A83342C3AC12571920048876E-LangerSCCG05
 Art des Abschluß: -

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Titel: Untitled Event
Veranstaltungsort: Budmerice, Slovakia
Start-/Enddatum: 2005-05-12

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Titel: SCCG '05: Proceedings of the 21st spring conference on Computer graphics
Genre der Quelle: Konferenzband
 Urheber:
Affiliations:
Ort, Verlag, Ausgabe: New York, NY, USA : ACM
Seiten: - Band / Heft: - Artikelnummer: - Start- / Endseite: 229 - 232 Identifikator: ISBN: 80-223-2057-9