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Three-dimensional strain analysis is crucial for understanding how materials deform under stress, particularly in elastic, homogeneous materials. This method employs principal stress axes to simplify complex stress states into more understandable forms. Subjected to stress, a small cubic element within a material either expands or contracts along these axes, transforming into a rectangular parallelepiped. This transformation effectively illustrates the material's deformation. The principal...
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Related Experiment Video

Updated: Oct 22, 2025

Applying Hyperspectral Reflectance Imaging to Investigate the Palettes and the Techniques of Painters
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Unveiling the Secrets of Escher's Lithographs.

Primo Coltelli1, Laura Barsanti2, Paolo Gualtieri2

  • 1Istituto Scienza e Tecnologie dell'Informazione, CNR, Via Moruzzi 1, 56124 Pisa, Italy.

Journal of Imaging
|August 30, 2021
PubMed
Summary

Escher

Area of Science:

  • Computer Vision
  • Art Analysis
  • Human Perception

Background:

  • Impossible structures in art challenge human perception.
  • M.C. Escher's lithographs feature complex impossible structures.
  • Understanding these structures requires analyzing visual processing.

Purpose of the Study:

  • To analyze M.C. Escher's impossible structures using a novel image processing technique.
  • To investigate how visual perception contributes to the understanding of impossible figures.
  • To reveal the hidden mechanisms behind Escher's artistic creations.

Main Methods:

  • Analysis of Escher's lithographs, specifically "The Belvedere" (1958).
  • Development of a discrete human retina model with non-uniform receptive fields.
Keywords:
Escherimpossible structurespre-attentive perceptionreceptive fieldsretina model

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  • Application of a unique space-variant digital filter simulating human vision.

    • Main Results:

    • Escher strategically placed incoherent details outside the zone of single fixation perception.
    • The developed digital filter simulates human visual processing and space-variant sampling.
    • Filtered images aid in understanding the perception of impossible figures in Escher's art.

    Conclusions:

    • Escher's mastery lies in exploiting the limits of visual perception.
    • The image processing filter provides a new tool for analyzing visual perception in art.
    • This study offers insights into the cognitive aspects of interpreting impossible artworks.