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Euclidean Ordering via Chamfer Distance Calculations
Computer Vision and Image Understanding, 1999Summary: This paper studies the mapping between continuous and discrete distances. The continuous distance considered is the widely used Euclidean distance, whereas we consider as the discrete distance the chamfer distance based on \(3\times 3\) masks.
Marchand-Maillet, Stéphane +1 more
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Mahalanobis and Euclidean Distances
NIR news, 2010Two distance measures Figures 1 and 2 each show the same twodimensional scatter plot of 20 points, plus one extra point in red. Each point corresponds to a spectrum, in this case measured at only two wavelengths, with one axis for the absorbance at each wavelength: not terribly realistic, but I cannot draw pictures in high dimensions.
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Euclidean Distance Matrices (EDMs)
2018This chapter provides an introduction to Euclidean distance matrices (EDMs). Our primary focus is on various characterizations and basic properties of EDMs. The chapter also discusses methods to construct new EDMs from old ones, and presents some EDM necessary and sufficient inequalities.
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Comparison of Euclidean Approximations of non-Euclidean Distances
1999The different techniques used for Euclidean approximation of distances are discussed. In the special case of points in a Euclidean space, whose distances are biased due to measure errors, accepting negative eigenvalues may help in the interpretation of results that are less biased than those obtained through an additive constant solution.
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Social Distancing Detection Using Euclidean Distance Formula
SSRN Electronic Journal, 2022Tarun Kumar Kannoujia +3 more
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