Polyline fitting of planar points under min-sum criteria

  • Authors:
  • Boris Aronov;Tetsuo Asano;Naoki Katoh;Kurt Mehlhorn;Takeshi Tokuyama

  • Affiliations:
  • Polytechnic University;Japan Advanced Institute of Science and Technology;Kyoto University;Max-Planck-Institut für Informatik;Tohoku University

  • Venue:
  • ISAAC'04 Proceedings of the 15th international conference on Algorithms and Computation
  • Year:
  • 2004

Quantified Score

Hi-index 0.00

Visualization

Abstract

Fitting a curve of a certain type to a given set of points in the plane is a basic problem in statistics and has numerous applications We consider fitting a polyline with k joints under the min-sum criteria with respect to L1- and L2-metrics, which are more appropriate measures than uniform and Hausdorff metrics in statistical context We present efficient algorithms for the 1-joint versions of the problem, and fully polynomial-time approximation schemes for the general k-joint versions.