Moiré Effect in Planar and Cylindrical Objects

Vladimir Saveljev *

Public Safety Research Center, Konyang University, 121 Daehak-ro, Chungcheongnam‑do, Nonsan City, 32992, Republic of Korea.

*Author to whom correspondence should be addressed.


Abstract

Background: The moiré effect occurs when viewing through grids with periodically modulated transmittance/reflectivity.

Aim: To analyse the moiré effect systematically in flat and cylindrical objects, as well as in their combinations.

Study Design: The theory is based on projections. Experiments were conducted with models of cylinders and other objects.

Methodology: The occurrence of the moiré effect is classified by the position of the grid wavevector relative to the base.

Results: The moiré cases are presented systematically and uniformly. Analytical formulas for the moiré magnification coefficient are analysed. The typical difference between experimental data and theory was 2-5%. Patterns of functions in combined objects are described. A general, systematic picture of the moiré effect is presented.

Conclusion: The experiments confirm the theory. The results can be used for nanoparticles, minimization and measurement.


How to Cite

Saveljev, V. (2026). Moiré Effect in Planar and Cylindrical Objects. Mathematics and Computer Science: Research Updates Vol. 10, 68–106. https://doi.org/10.9734/bpi/mcsru/v10/7280