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Hausdorff Distance with k-Nearest Neighbors

2012
Hausdorff distance (HD) is an useful measurement to determine the extent to which one shape is similar to another, which is one of the most important problems in pattern recognition, computer vision and image analysis. Howeverm, HD is sensitive to outliers. Many researchers proposed modifications of HD.
Jun Wang 0002, Ying Tan 0002
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Gromov-Hausdorff distances in Euclidean spaces

2008 IEEE Computer Society Conference on Computer Vision and Pattern Recognition Workshops, 2008
The purpose of this paper is to study the relationship between measures of dissimilarity between shapes in Euclidean space. We first concentrate on the pair Gromov-Hausdorff distance (GH) versus Hausdorff distance under the action of Euclidean isometries (EH). Then, we (1) show they are comparable in a precise sense that is not the linear behaviour one
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Evaluation of Hausdorff distances in interval mathematics

Computing, 1990
For a class of metrics in \({\mathbb{R}}^ n\) including the Hölder metrics explicit expressions are developed for evaluating the values of the corresponding Hausdorff metrics.
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Locating objects using the Hausdorff distance

Proceedings of IEEE International Conference on Computer Vision, 2002
The Hausdorff distance is a measure defined between two point sets representing a model and an image. In the past, it has been used to search images for instances of a model that has been translated or translated and scaled by finding transformations that bring a large number of model features close to image features, and vice versa.
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Hausdorff distance and convexity

2017
The goal of this thesis is to discuss the Hausdorff Distance and prove that the metric space SX , which is the set of compact subsets of X = R n with the hausdorff distance is a complete metric space. In the first part, we discuss open r-neighborhoods and convexity.
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Gromov-Hausdorff Distances

2022
Jihoon Lee, Carlos Morales Rojas
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Hausdorff vs Gromov–Hausdorff Distances

Discrete & Computational Geometry
Henry Adams   +3 more
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Computing the Hausdorff distance between two B-spline curves

CAD Computer Aided Design, 2010
Xiao-Diao Chen, Weiyin Ma, Gang Xu
exaly  

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