Fr\'echet Distance for Offline Evaluation of Information Retrieval Systems with Sparse Labels

N Arabzadeh, CLA Clarke - arxiv preprint arxiv:2401.17543, 2024 - arxiv.org
The rapid advancement of natural language processing, information retrieval (IR), computer
vision, and other technologies has presented significant challenges in evaluating the …

An efficient query algorithm for trajectory similarity based on Fréchet distance threshold

N Guo, M Ma, W **ong, L Chen, N **g - ISPRS International Journal of …, 2017 - mdpi.com
The processing and analysis of trajectories are the core of many location-based applications
and services, while trajectory similarity is an essential concept regularly used. To address …

The k-Fréchet distance: How to walk your dog while teleporting

H Alves Akitaya, M Buchin, L Ryvkin… - … on Algorithms and …, 2019 - drops.dagstuhl.de
We introduce a new distance measure for comparing polygonal chains: the k-Fréchet
distance. As the name implies, it is closely related to the well-studied Fréchet distance but …

Minimizing walking length in map matching

A Gheibi, A Maheshwari, JR Sack - … Computer Science: The First IFIP WG …, 2016 - Springer
In this paper, we propose a geometric algorithm for a map matching problem. More
specifically, we are given a planar graph, H, with a straight-line embedding in a plane, a …

[PDF][PDF] The k-Fréchet distance revisited and extended

HA Akitaya, M Buchin, L Ryvkin… - … European Workshop on …, 2019 - eurocg2019.uu.nl
We recently introduced a new distance measure for polygonal curves, the k-Fréchet
distance. It bridges between Hausdorff distance and weak Fréchet distance, and allows us to …

[HTML][HTML] Weighted minimum backward Fréchet distance

A Gheibi, A Maheshwari, JR Sack - Theoretical Computer Science, 2019 - Elsevier
The minimum backward Fréchet distance (MBFD) problem is a natural optimization problem
for the weak Fréchet distance, a variant of the well-known Fréchet distance. In this problem …

The -Fr\'echet distance

HA Akitaya, M Buchin, L Ryvkin, J Urhausen - arxiv preprint arxiv …, 2019 - arxiv.org
We introduce a new distance measure for comparing polygonal chains: the $ k $-Fr\'echet
distance. As the name implies, it is closely related to the well-studied Fr\'echet distance but …

On distance measures for polygonal curves bridging between Hausdorff and Fréchet distance

L Ryvkin - 2021 - hss-opus.ub.ruhr-uni-bochum.de
Hausdorff and Fréchet distance are popular means to compare point sets, curves, and
higher dimensional objects. We introduce the\(\textit {cut distance}\) and the\(\textit {cover …

The prefix Fréchet similarity

C Scheffer - Computational Geometry, 2022 - Elsevier
We present the prefix Fréchet similarity as a new measure for similarity of curves which is for
instance motivated by evacuation analysis and defined as follows. Given two (polygonal) …

Discrete Geometric Path Analysis in Computational Geometry

A Gheibi - 2016 - repository.library.carleton.ca
In this thesis, first, we study the weighted region problem (WRP), which is to compute a
geometric shortest path on a weighted partitioning of a plane. Recent results show that WRP …