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Hausdorff distance and image processing

Russian Mathematical Surveys, 2004
This paper based on the report at the conference is dedicated to the centenary of the birth of Kolmogorov. Sendov gives the brief exposition of the theory of approximations of functions of two variables with the Hausdorff metric. He considers images as bounded functions on the unit square and argues that the Hausdorff distance is more natural to ...
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Hausdorff Distance for Iris Recognition

2007 IEEE 22nd International Symposium on Intelligent Control, 2007
Iris is a promising biometric due to its high reliability and stability. In this paper, a novel iris recognition technique based on Hausdorff distance is proposed. A modified partial Hausdorff distance (a dissimilarity measure) is computed directly between the normalized iris images for comparison and no feature is extracted explicitly.
N. Sudha, Wong Yung Ho Kenny
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Palmprint identification using hausdorff distance

IEEE International Workshop on Biomedical Circuits and Systems, 2004., 2005
Palmprint-based personal identification is regarded as an effective method for automatically recognizing a person's identity. In addition, it requires no special hardware except a normal digital camera. This paper presents a new approach to identify palmprint using Hausdorff distance.
null Fang Li   +2 more
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Fourier inversion and the Hausdorff distance

Statistica Neerlandica, 2002
This paper continues research done by F.H. Ruymgaart and the author. For a function f on Rd we consider its Fourier transform Ff and the functions fM(M>0) derived from Ff by the formula fM(x)=(F(εM·Ff))(−x);, where the εM are suitable integrable functions tending to 1 pointwise as M→∞. It was shown earlier that, relative to a metric dH, analogous to
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Hausdorff distance for target detection

2002 IEEE International Symposium on Circuits and Systems. Proceedings (Cat. No.02CH37353), 2003
The paper presents a system for target detection in static images based on the Hausdorff distance. The Hausdorff distance can determine the degree of resemblance between an image and a model. As such, the proposed system uses this distance as a cost function for the template matching task.
GASTALDO, PAOLO, ZUNINO, RODOLFO
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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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Measuring Closeness of Graphs—The Hausdorff Distance

Bulletin of the Malaysian Mathematical Sciences Society, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Banič, Iztok, Taranenko, Andrej
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Hausdorff dimension and distance sets

Israel Journal of Mathematics, 1994
The author uses a brilliant refinement of Fourier restriction phenomena to spheres to improve results on difference sets \(D(A)= \{| x- y|; x,y\in A\}\) for Souslin sets \(A\) in \(\mathbb{R}^ n\) due to Falconer. For example, if \(A\subset \mathbb{R}^ 2\) and the Hausdorff dimension \(\dim A> {13\over 9}\) (instead of \({3\over 2}\) as in Falconer's ...
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λ‐Variation and Hausdorff Distance

Mathematische Nachrichten, 1992
AbstractIt is shown that points of varying monotonicity of a function play an important role in calculation of its λ‐variation. It is proven that for a given continuous function x: [0,1] → IR of bounded λ‐variation, the function A → λ‐var(x, A) is continuous on the metric space (ℋ︁, dH) of all closed subsets of [0, 1] with Hausdorff distance.
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Gromov-Hausdorff Distances

2022
Jihoon Lee, Carlos Morales Rojas
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