An improved Hoschek intrinsic parametrization

  • Authors:
  • Eric Saux;Marc Daniel

  • Affiliations:
  • Naval Academy Research Institute, Ecole navale, Lanvéoc Poulmic, B.P. 600, 29240 Brest Armées, France;Laboratoire des Sciences de l'Information et des Systèmes, Ecole Supérieure d'Ingénieurs de Luminy, Campus de Luminy, case postale 925, 13288 Marseille cedex 9, France

  • Venue:
  • Computer Aided Geometric Design
  • Year:
  • 2003

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Abstract

Smoothing a set of points pi with a B-spline curve is an usual CAGD application, which remains an open problem due to the choice of the parameter values. J. Hoschek proposed one of the first iterative solution called intrinsic parametrization. This idea has been improved several times by introducing different parameter corrections. This paper deals with a new improvement of Hoschek's method providing better results with a higher speed of convergence. Examples are proposed and compared with the different approaches.