Static and Streaming Data Structures for Fréchet Distance Queries

Arnold Filtser, Omrit Filtser

نتاج البحث: نشر في مجلةمقالةمراجعة النظراء

ملخص

Given a curve P with points in ℝd in a streaming fashion, and parameters ϵ > 0 and k, we construct a distance oracle that uses space, and given a query curve Q with k points in ℝd returns in time a 1+ϵ approximation of the discrete Fréchet distance between Q and P.In addition, we construct simplifications in the streaming model, oracle for distance queries to a sub-curve (in the static setting), and introduce the zoom-in problem. Our algorithms work in any dimension d, and therefore we generalize some useful tools and algorithms for curves under the discrete Fréchet distance to work efficiently in high dimensions.

اللغة الأصليةالإنجليزيّة
رقم المقال39
دوريةACM Transactions on Algorithms
مستوى الصوت19
رقم الإصدار4
المعرِّفات الرقمية للأشياء
حالة النشرنُشِر - 25 أكتوبر 2023

ملاحظة ببليوغرافية

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