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Evolution of 3d Curves under Strict Spatial Constraints

  • We present a new algorithm for fairing of space curves with respect spatial constraints based on a vector valued curvature function. Smoothing with the vector valued curvature function is superior to standard Frenet techniques since the individual scalar components can be modeled similar to curvature-based curve smoothing techniques in 2d. This paper describes a curve smoothing flow that satisfies strict spatial constraints and allows simultaneous control of both curvature functions.

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Metadaten
Author:Klaus Hildebrandt, Konrad Polthier, Eike Preuß
Document Type:ZIB-Report
Tag:curvature smoothing flow; curve fairing; curve smoothing
MSC-Classification:65-XX NUMERICAL ANALYSIS / 65Dxx Numerical approximation and computational geometry (primarily algorithms) (For theory, see 41-XX and 68Uxx) / 65D10 Smoothing, curve fitting
65-XX NUMERICAL ANALYSIS / 65Dxx Numerical approximation and computational geometry (primarily algorithms) (For theory, see 41-XX and 68Uxx) / 65D17 Computer aided design (modeling of curves and surfaces) [See also 68U07]
Date of first Publication:2005/06/30
Series (Serial Number):ZIB-Report (05-33)
ZIB-Reportnumber:05-33
Notes:
kein Volltext, Artikel ist in Verlagspublikation erschienen, der Preprint wurde offensichtlich vor längerer Zeit zurückgezogen (keine urn). Kossick 20. 11. 13
Published in:Appeared in: Proceedings of the Ninth International Conference on Computer Aided Design and Computer Graphics, IEEE Computer Society, 2005, ISBN 0-7695-2473-7, pp. 40-45
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