Designing Optimal Curves in 2D. Gumhold, S. In Proceedings of CEIG, pages 61--76, jul, 2004.
Designing Optimal Curves in 2D [pdf]Paper  abstract   bibtex   2 downloads  
The use of non-linear optimal curves for an intuitive design with interpolating curves is proposed. The curve design system is based on an optimization algorithm that can minimize a variety of optimality functionals, which are based on the integration of the curve length, curvature and curvature derivatives. Besides the to be interpolated points further constraints on the curve normals can be incorporated easily into the optimization approach. It is furthermore shown how to design interpolating curves with continuity higher than C1.
@INPROCEEDINGS{Gumhold-2004-Designing,
   AUTHOR = {Stefan Gumhold},
   AFFILIATIONS = {CGV,GRIS},
   AREAS = {GP},
   TITLE = {Designing Optimal Curves in {2D}},
   BOOKTITLE = {Proceedings of CEIG},
   URL = {http://tu-dresden.de/die_tu_dresden/fakultaeten/fakultaet_informatik/smt/cgv/publikationen/2004/doci2d/optimalCurves.pdf},
   PAGES = {61--76},
   MONTH = {jul},
   YEAR = {2004},
   ABSTRACT = {The use of non-linear optimal curves for an intuitive design with interpolating curves
	  is proposed. The curve design system is based on an optimization algorithm that can
	  minimize a variety of optimality functionals, which are based on the integration of the
	  curve length, curvature and curvature derivatives. Besides the to be interpolated points
	  further constraints on the curve normals can be incorporated easily into the optimization
	  approach. It is furthermore shown how to design interpolating curves with continuity
	  higher than C1.},
   KEYWORDS = {Interpolation, Optimal Curves, Curve Design}
   
}
Downloads: 2