On the usage of average Hausdorff distance for segmentation performance assessment: hidden error when used for ranking [PDF]
Average Hausdorff distance is a widely used performance measure to calculate the distance between two point sets. In medical image segmentation, it is used to compare ground truth images with segmentations allowing their ranking.
Orhun Utku Aydin +7 more
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Identifying Irregular Potatoes Using Hausdorff Distance and Intersection over Union [PDF]
Further processing and the added value of potatoes are limited by irregular potatoes. An ellipse-fitting-based Hausdorff distance and intersection over union (IoU) method for identifying irregular potatoes is proposed to solve the problem.
Yongbo Yu +3 more
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Two Dimensional Yau-Hausdorff Distance with Applications on Comparison of DNA and Protein Sequences. [PDF]
Comparing DNA or protein sequences plays an important role in the functional analysis of genomes. Despite many methods available for sequences comparison, few methods retain the information content of sequences.
Kun Tian +5 more
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On the Budgeted Hausdorff Distance Problem
Given a set P of n points in the plane, and a parameter k, we present an algorithm, whose running time is O(n3/2 √k log3/2n + kn log2n), with high probability, that computes a subset Q* of P of k points, that minimizes the Hausdorff distance between the
Sariel Har-Peled, Benjamin Raichel
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Relative Hausdorff distance for network analysis [PDF]
Similarity measures are used extensively in machine learning and data science algorithms. The newly proposed graph Relative Hausdorff (RH) distance is a lightweight yet nuanced similarity measure for quantifying the closeness of two graphs.
Sinan G. Aksoy +3 more
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Branching Geodesics of the Gromov-Hausdorff Distance
In this paper, we first evaluate topological distributions of the sets of all doubling spaces, all uniformly disconnected spaces, and all uniformly perfect spaces in the space of all isometry classes of compact metric spaces equipped with the Gromov ...
Ishiki Yoshito
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Between shapes, using the Hausdorff distance
Given two shapes $A$ and $B$ in the plane with Hausdorff distance $1$, is there a shape $S$ with Hausdorff distance $1/2$ to and from $A$ and $B$? The answer is always yes, and depending on convexity of $A$ and/or $B$, $S$ may be convex, connected, or disconnected. We show that our result can be generalised to give an interpolated shape between $A$ and
Jordi Vermeulen +2 more
exaly +10 more sources
Approximating the Directed Hausdorff Distance
The Hausdorff distance is a metric commonly used to compute the set similarity of geometric sets. For sets containing a total of n points, the exact distance can be computed naively in O(n2) time.
Oliver Chubet +3 more
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Chordal Hausdorff Convergence and Quasihyperbolic Distance [PDF]
We study Hausdorff convergence (and related topics) in the chordalization of a metric space to better understand pointed Gromov-Hausdorff convergence of quasihyperbolic distances (and other conformal distances).
Herron David A. +2 more
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Hausdorff Distance Model-Based Identity Authentication for IP Circuits in Service-Centric Internet-of-Things Environment [PDF]
Rapid advances in the Internet-of-Things (IoT) have exposed the underlying hardware devices to security threats. As the major component of hardware devices, the integrated circuit (IC) chip also suffers the threat of illegal, malicious attacks.
Wei Liang +4 more
doaj +2 more sources

