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Symmetry Group Effect on Perforated Image Perception

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Abstract

This research investigates how different symmetry group patterns influence the perception of an image interpreted by perforation of a planar material. To evaluate perception of perforated image, digital image processing tools (quantitative evaluation) and experts’ opinion (qualitative evaluation) are applied with both results approaches summarized.

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References

  • Conway, John, Heidi, Burgiel and Chaim Goodman-Strauss. 2008. The symmetries of things. Wellesley, Mass: A.K. Peters book.

    MATH  Google Scholar 

  • Horne, Clare. (2000). Geometric Symmetry in Patterns and Tilings. 2000.

  • Landwehr, Klaus. (2011). Visual Discrimination of the 17 Plane Symmetry Groups. Symmetry, 207–219.

  • Makovicky, Emil. 1986. Symmetrology of art: Coloured and generalized symmetries. Comp. & Maths. with Appls., 12B, 949–980.

    Article  MathSciNet  Google Scholar 

  • Mironovs, Victors, Alexey Tatarinov and Santa Gorbačova. 2017. Expanding Application of Perforated Metal Materials in Construction and Architecture. IOP Conference Series: Materials Science and Engineering. 251. 012027. https://doi.org/10.1088/1757-899X/251/1/012027.

  • Ruiz, Gerardo. Perforated metal. New Metals Inc.: http://www.newmetals.com Accessed 3 26, 2022

  • Salingaros, Nikos. 1999. Architecture, Patterns, and Mathematics. Nexus Network Journal, 1–2, 1–14.

    MATH  Google Scholar 

  • Wang, Zhou, Alan Bovik, Hamid Rahim Sheikh, Eero Simoncelli. 2004. Image quality assessment: from error visibility to structural similarity. IEEE Transactions on Image Processing, 13(4), 600–612.

    Article  Google Scholar 

  • Washburn, Dorothy and Donald Crowe. 1991. Symmetries of Culture. University of Washington Press.

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Correspondence to Vesna Stojaković.

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Stojaković, V., Bajić, B., Tepavčević, B. et al. Symmetry Group Effect on Perforated Image Perception. Nexus Netw J 25 (Suppl 1), 55–62 (2023). https://doi.org/10.1007/s00004-023-00699-z

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  • DOI: https://doi.org/10.1007/s00004-023-00699-z

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