Abstract | ||
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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. |
Year | DOI | Venue |
---|---|---|
2005 | 10.1109/CAD-CG.2005.38 | CAD/Graphics |
Keywords | Field | DocType |
computational geometry,3D curve evolution,curvature-based curve smoothing,space curves,spatial constraints,vector valued curvature function | Mathematical optimization,Curvature,Mathematical analysis,Computational geometry,Scalar (physics),Flow (psychology),Smoothing,Frenet–Serret formulas,Mathematics | Conference |
ISBN | Citations | PageRank |
0-7695-2473-7 | 5 | 0.52 |
References | Authors | |
5 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Klaus Hildebrandt | 1 | 466 | 24.77 |
Konrad Polthier | 2 | 1089 | 85.92 |
Eike Preuss | 3 | 5 | 0.52 |