by Stefan Gumhold
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.
Reference:
Designing Optimal Curves in 2D (Stefan Gumhold), In Proceedings of CEIG, 2004.
Bibtex Entry:
@INPROCEEDINGS{Gumhold-2004-Designing,
AUTHOR = {Stefan Gumhold},
AFFILIATIONS = {CGV,GRIS},
AREAS = {areagp},
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}
}