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Evolution of 3D curves under strict spatial constraints

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3 Author(s)
Hildebrandt, K. ; Zuse Inst. Berlin, Germany ; Polthier, K. ; Preuss, E.

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.

Published in:

Computer Aided Design and Computer Graphics, 2005. Ninth International Conference on

Date of Conference:

7-10 Dec. 2005