Global reparametrization for curve approximation

Computer Aided Geometric Design, Elsevier, Vol 15, pp.869-877, 1998

MESHING
RESEARCH
CORNER

Abstract
For approximation of a set of points Pj in Rd by a parametric curve X(t) the choice of parameters is essential. None of the parametrization strategies is optimal. To obtain good approximation results, reparametrization (parameter correction) of the paints is necessary. In general, these reparametrization methods work only locally. We present a global reparametrization method which leads to dramatically better results.