30 citations · 37 across the 10 of their papers we have counts for
10 papers
Topological Invariant-Based Iris Identification via Digital Homology and Machine Learning
Ahmet Öztel, İsmet Karaca
Objective - This study presents a biometric identification method based on topological invariants from 2D iris images, representing iris texture via formally defined digital homolo…
Some Properties Of Proximal Homotopy Theory
Melih Is, Ismet Karaca
Nearness theory comes into play in homotopy theory because the notion of closeness between points is essential in determining whether two spaces are homotopy equivalent. While near…
Proximal Motion Planning Algorithms
Melih İs, İsmet Karaca
In this paper, we transfer the problem of measuring navigational complexity in topological spaces to the nearness theory. We investigate the most important component of this proble…
Explicit motion planning in digital projective product spaces
Seher Fişekci, İsmet Karaca
We introduce the digital projective product spaces based on Davis' projective product spaces. We determine an upper bound for the digital LS-category of the digital projective prod…
Higher Topological Complexity For Fibrations
Melih Is, Ismet Karaca
We introduce the higher topological complexity (TC_{n}) of a fibration in two ways: the higher homotopic distance and the Schwarz genus. Then we have some results on this notion re…
Digital Topological Complexity of Digital Maps
Melih Is, Ismet Karaca
In this study, we improve the topological complexity computations on digital images with introducing the digital topological complexity computations of a surjective and digitally c…
Certain topological methods for computing digital topological complexity
Melih Is, Ismet Karaca
In this paper, we examine the relations of two closely related concepts, the digital Lusternik-Schnirelmann category and the digital higher topological complexity, with each other…
Topological Complexities of Finite Digital Images
Melih İs, İsmet Karaca
Digital topological methods are often used on computing the topological complexity of digital images. We give new results on the relation between reducibility and digital contracti…
Counterexamples for Topological Complexity in Digital Images
Melih İs, İsmet Karaca
Digital topology has its own working conditions and sometimes differs from the normal topology. In the area of topological robotics, we have important counterexamples in this study…
Digital Fixed Points, Approximate Fixed Points, and Universal Functions
Laurence Boxer, Ozgur Ege, Ismet Karaca +2
A. Rosenfeld introduced the notion of a digitally continuous function between digital images, and showed that although digital images need not have fixed point properties analogous…