Work

Application of quasicrystals to data processing

Year: 2024

Type: conference-paper

Abstract: We propose a data processing method based on properties of quasicrystals and apply it to bitmap images. The method uses the mapping between the physical and internal spaces of a quasi-crystal to uniformly distribute the part of data that is lost in the transmitting or storing processes. At the same time, it is possible to unambiguously restore the rest of the data. The main advantages are strict aperiodicity of discrete sets and everywhere discontinuous property of the mapping as well as the speed of computation, simplicity of implementation and a straightforward possibility of extending the method to encryption of higher dimensional data. Several examples of construction of quasicrystals and examples of image processing are given.

Source: Journal of Physics Conference Series

DOI: 10.1088/1742-6596/2912/1/012033

Authors: Maryna Nesterenko, Severin Pošta

Institutions: National Academy of Sciences of Ukraine, Institute of Mathematics, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Czech Technical University in Prague

Language: English

Topic: Quasicrystal Structures and Properties

Subfield: Materials Chemistry

Field: Materials Science

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4405240909

FWCI:

Cites: 11

Cited by:

Related to: 10