Results 11 to 20 of about 42,065 (261)

Digital homotopy relations and digital homology theories

Applied General Topology, 2021
In this paper we prove results relating to two homotopy relations and four homology theories developed in the topology of digital images. We introduce a new type of homotopy relation for digitally continuous functions which we call ``strong homotopy ...
P. Christopher Staecker
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Fixed point sets in digital topology, 2

Applied General Topology, 2020
We continue the work of [10], studying properties of digital images determined by fixed point invariants. We introduce pointed versions of invariants that were introduced in [10].
Laurence Boxer
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Digital homotopic distance between digital functions

Applied General Topology, 2021
In this paper, we define digital homotopic distance and give its relation with LS category of a digital function and of a digital image. Moreover, we introduce some properties of digital homotopic distance such as being digitally homotopy invariance.
Ayse Borat
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The higher topological complexity in digital images

Applied General Topology, 2020
Y. Rudyak develops the concept of the topological complexity TC(X) defined by M. Farber. We study this notion in digital images by using the fundamental properties of the digital homotopy.
Melih İs, İsmet Karaca
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Topology on Digital Label Images [PDF]

Journal of Mathematical Imaging and Vision, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mazo, Loïc, Passat, Nicolas, Couprie, Michel, Ronse, Christian   +3 more
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Analog Pulse Shape Discrimination Circuit for High Event Rates and Fast Scintillators with a Dynamic Deadtime [PDF]

EPJ Web of Conferences, 2023
We developed an analog pulse shape discrimination (PSD) topology based on the well-established charge integration (CI) method, featuring two novel functional blocks beneficial for high event rate operation.
Morad Itai, Ghelman Max, Osovizky Alon, Ellenbogen Amir, Seif Rami, Vax Eran, Broide Amir, Harn Ron   +7 more
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Digital Topological Complexity of Digital Maps

, 2021
In this study, we improve the topological complexity computations on digital images with introducing the digital topological complexity computations of a surjective and digitally continuous map between digital images. We also reveal differences in topological complexity computations of maps between digital images and topological spaces.
Is, Melih, Karaca, Ismet
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Axiomatic Digital Topology [PDF]

Journal of Mathematical Imaging and Vision, 2006
The paper presents a new set of axioms of digital topology, which are easily understandable for application developers. They define a class of locally finite (LF) topological spaces. An important property of LF spaces satisfying the axioms is that the neighborhood relation is antisymmetric and transitive.
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Topologies on Zⁿ that Are Not Homeomorphic to the n-Dimensional Khalimsky Topological Space

Mathematics, 2019
The present paper deals with two types of topologies on the set of integers, Z : a quasi-discrete topology and a topology satisfying the T 1 2 -separation axiom. Furthermore, for each n ∈ N , we develop countably many topologies on
Sang-Eon Han, Saeid Jafari, Jeong Min Kang   +2 more
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Digital k-Contractibility of an n-Times Iterated Connected Sum of Simple Closed k-Surfaces and Almost Fixed Point Property

Mathematics, 2020
The paper firstly establishes the so-called n-times iterated connected sum of a simple closed k-surface in Z 3 , denoted by C k n , k ∈ { 6 , 18 , 26 } .
Sang-Eon Han
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