COMPUTING THE FRÉCHET DISTANCE BETWEEN TWO POLYGONAL CURVES

  • HELMUT ALT
    Freie Universität Berlin, Fachbereich Mathematik und Informatik, Takustraße 9 14195 Berlin, Germany
  • MICHAEL GODAU
    Freie Universität Berlin, Fachbereich Mathematik und Informatik, Takustraße 9 14195 Berlin, Germany

書誌事項

公開日
1995-03
DOI
  • 10.1142/s0218195995000064
公開者
World Scientific Pub Co Pte Lt

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説明

<jats:p> As a measure for the resemblance of curves in arbitrary dimensions we consider the so-called Fréchet-distance, which is compatible with parametrizations of the curves. For polygonal chains P and Q consisting of p and q edges an algorithm of runtime O(pq log(pq)) measuring the Fréchet-distance between P and Q is developed. Then some important variants are considered, namely the Fréchet-distance for closed curves, the nonmonotone Fréchet-distance and a distance function derived from the Fréchet-distance measuring whether P resembles some part of the curve Q. </jats:p>

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