Indexing Topological Numbers on Images by Transferring Chiral Magnetic Textures

to related objects

Abstract: Topological analysis is widely adopted in various research fields to unveil intricate features and structural relationships implied in geometrical objects. Especially, in the fields of data analysis, exploring the topological properties of various images offers rich insights into the intrinsic geometrical information within them. In this study, a novel approach is proposed to investigate the topological properties of arbitrary grayscale images by employing a straightforward procedure used in 2D magnetism studies to calculate topological numbers. This method utilizes machine learning techniques to transfer chiral magnetic textures onto the images. Then, the topological number is then computed directly from the converted images by integrating the solid angles formed by adjacent spin vectors. The method successfully identifies the topological numbers of various grayscale images, showing stable performances against small noises. Furthermore, two applications of the method: are demonstrated topological analysis of the Modified National Institute of Standards and Technology (MNIST) dataset and the counting of blood cells in microscopic images.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
Indexing Topological Numbers on Images by Transferring Chiral Magnetic Textures ; day:25 ; month:06 ; year:2024 ; extent:8
Advanced Materials Technologies ; (25.06.2024) (gesamt 8)

Creator
Park, Seong Min
Moon, Tea Jung
Yoon, Han Gyu
Kwon, Hee Young
Won, Changyeon

DOI
10.1002/admt.202400172
URN
urn:nbn:de:101:1-2406251430359.169859346090
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
14.08.2025, 10:56 AM CEST

Data provider

This object is provided by:
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Show original at data provider

Associated

  • Park, Seong Min
  • Moon, Tea Jung
  • Yoon, Han Gyu
  • Kwon, Hee Young
  • Won, Changyeon

Other Objects (12)

Symmetry‐Protected Photonic Chiral Spin Textures by Spin–Orbit Coupling

Symmetry‐Protected Photonic Chiral Spin Textures by Spin–Orbit Coupling

Unveiling the Emergent Traits of Chiral Spin Textures in Magnetic Multilayers

Unveiling the Emergent Traits of Chiral Spin Textures in Magnetic Multilayers

Chiral response of spin-spiral states as the origin of chiral transport fingerprints of spin textures

Chiral response of spin-spiral states as the origin of chiral transport fingerprints of spin textures

On chiral excitations with exotic quantum numbers

On chiral excitations with exotic quantum numbers

Interfacial Dzyaloshinskii-Moriya interaction and chiral magnetic textures in a ferrimagnetic insulator

Interfacial Dzyaloshinskii-Moriya interaction and chiral magnetic textures in a ferrimagnetic insulator

Creation and manipulation of topological magnetic textures in chiral and frustrated magnets

Creation and manipulation of topological magnetic textures in chiral and frustrated magnets

Rotating edge-field driven processing of chiral spin textures in racetrack devices

Rotating edge-field driven processing of chiral spin textures in racetrack devices

Term indexing

Hochschulschrift

Term indexing

Indexing (27.4.2011)

zweidimensionales bewegtes Bild

Indexing (27.4.2011)

Term indexing

Term indexing

Bayesian indexing

Bayesian indexing

Generalized chiral instabilities, linking numbers, and non-invertible symmetries

Generalized chiral instabilities, linking numbers, and non-invertible symmetries

Related objects