@misc{HildebrandtPolthierPreuss, author = {Hildebrandt, Klaus and Polthier, Konrad and Preuß, Eike}, title = {Evolution of 3d Curves under Strict Spatial Constraints}, number = {05-33}, 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.}, language = {en} } @inproceedings{HildebrandtPolthierPreuss2005, author = {Hildebrandt, Klaus and Polthier, Konrad and Preuß, Eike}, title = {Evolution of 3D curves under strict spatial constraints}, series = {IEEE Proceedings on Ninth International Conference on Computer Aided Design and Computer Graphics (CAD/CG 2005)}, booktitle = {IEEE Proceedings on Ninth International Conference on Computer Aided Design and Computer Graphics (CAD/CG 2005)}, doi = {10.1109/CAD-CG.2005.38}, pages = {40 -- 45}, year = {2005}, language = {en} }