Title
Evolution of 3d Curves under Strict Spatial Constraints
Abstract
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 Hildebrandt146624.77
Konrad Polthier2108985.92
Eike Preuss350.52