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March 30, 2026SHILAP Revista de lepidopterologíaOpen Access

Seamless Tiling of Quasi-Periodic Textures via an Optimal Cyclic Shift on a Discrete Torus

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Authors

ABA. I. Bedratyuk

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Overview

This research proposes a method to reduce seams in quasiperiodic textures, suggesting better visual quality in graphics applications.

Key Points

  • The study aims to develop a method for reducing visible seams in quasiperiodic textures while maintaining the integrity of pixel values.
  • Modeling tiles as functions on a discrete torus
  • Introducing a cyclic shift group to permute pixel positions
  • Computing boundary seam energy for opposite boundary pairs
  • Selecting the optimal shift to minimize seam energy
  • Accelerating evaluation using cyclic correlations and FFT
  • Significant reduction in seam energy and visible boundary prominence during tiling
  • No degradation in visual quality for strictly periodic tiles
  • Method is easy to integrate into existing production pipelines
  • Maintains pixel value invariance for reproducible results

Cite This Study

A. I. Bedratyuk (2026) studied this question.

synapsesocial.com/papers/69ca1210883daed6ee094e2dhttps://doi.org/10.31891/csit-2026-1-2
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