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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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Comparing Images Using the Hausdorff Distance

IEEE Transactions on Pattern Analysis and Machine Intelligence, 1993
D. Huttenlocher   +2 more
semanticscholar   +1 more source

Approximations relative to Hausdorff distance

Mathematical Notes of the Academy of Sciences of the USSR, 1968
The present paper is an abstract of a dissertation submitted in partial fulfillment of the requirements for the degree of Doctor of Physical and Mathematical Sciences. The dissertation was defended on November 30, 1967 before the faculty of the V. A. Steklov Mathematical Institute of the Academy of Sciences of the USSR.
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Hausdorff Distance and Digital Filters

1987
One of the main steps for designing digital filters is the problem for approximation of the amplitude-frequency characteristic of the filter. As a rule it is necessary to approximate a functions with jumps (step function) by means of polynomials or rational functions. There exist many approaches for solving that problem under different restrictions and
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A modified Hausdorff distance for object matching

Proceedings of 12th International Conference on Pattern Recognition, 1994
Marie-Pierre Dubuisson, Anil K. Jain
semanticscholar   +1 more source

Unitary Transformation of the Electronic Hamiltonian with an Exact Quadratic Truncation of the Baker-Campbell-Hausdorff Expansion

Journal of Chemical Theory and Computation, 2021
Robert A Lang   +2 more
exaly  

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