Results 141 to 150 of about 51,212 (207)
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Comparing images using the Hausdorff distance
IEEE Transactions on Pattern Analysis and Machine Intelligence, 1993D. Huttenlocher +2 more
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Non-Euclidean distance fundamental solution of Hausdorff derivative partial differential equations
Engineering Analysis With Boundary Elements, 2017Wen Chen, Fajie Wang
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Hausdorff GAN: Improving GAN Generation Quality With Hausdorff Metric
IEEE Transactions on Cybernetics, 2021Data usually resides on a manifold, and the minimal dimension of such a manifold is called its intrinsic dimension. This fundamental data property is not considered in the generative adversarial network (GAN) model along with its its variants; such that ...
Wei Li +5 more
semanticscholar +1 more source
Examples of Ricci limit spaces with non-integer Hausdorff dimension
Geometric and Functional Analysis, 2021We give the first examples of collapsing Ricci limit spaces on which the Hausdorff dimension of the singular set exceeds that of the regular set; moreover, the Hausdorff dimension of these spaces can be non-integers.
Jiayin Pan, Guofang Wei
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The topological Hausdorff dimension and transport properties of Sierpiński carpets
Physics Letters, Section A: General, Atomic and Solid State Physics, 2017Alexander S Balankin
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Fractional Hausdorff grey model and its properties
, 2020The grey model with the fractional Hausdorff derivative is put forward to enhance the forecasting accuracy of traditional grey model. The proposed model will not be effect by the initial value x(0)(1). The relationship between the error and the order (r)
Yan Chen +3 more
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Defining Hausdorff operators on Euclidean spaces
Mathematical methods in the applied sciences, 2020After 2000, an interest in the Hausdorff operators grew, first of all in the sense of a diversity of spaces on which these operators were considered. We try to introduce a ‘correct’ definition of the Hausdorff operator on Euclidean spaces.
A. Karapetyants, E. Liflyand
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Between Shapes, Using the Hausdorff Distance
International Symposium on Algorithms and Computation, 2020Given 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 ...
M. V. Kreveld +4 more
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Hausdorff dimension of planar self-affine sets and measures
Inventiones Mathematicae, 2017Let $$X={\bigcup }{\varphi }_{i}X$$X=⋃φiX be a strongly separated self-affine set in $${\mathbb {R}}^2$$R2 (or one satisfying the strong open set condition).
B. Bárány, M. Hochman, Ariel Rapaport
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Canadian Mathematical Bulletin, 1966
It is well-known that in a Hausdorff space, a sequence has at most one limit, but that the converse is not true. The condition that every sequence have at most one limit will be called the semi-Hausdorff condition. We will prove that the semi-Hausdorff condition is strictly stronger than the T1 -axiom and is thus between the T1 and T2 axioms.
Murdeshwar, M. G., Naimpally, S. A.
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It is well-known that in a Hausdorff space, a sequence has at most one limit, but that the converse is not true. The condition that every sequence have at most one limit will be called the semi-Hausdorff condition. We will prove that the semi-Hausdorff condition is strictly stronger than the T1 -axiom and is thus between the T1 and T2 axioms.
Murdeshwar, M. G., Naimpally, S. A.
openaire +2 more sources