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The stability of equilibrium configurations is an important concept in physics, engineering, and other related fields. In simple terms, it refers to the tendency of an object or system to return to its equilibrium position after being disturbed. The stability of an equilibrium configuration can be analyzed by considering the potential energy function of the system and examining its behavior near the equilibrium point.
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Studying Large Amplitude Oscillatory Shear Response of Soft Materials
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Structural stability and thermodynamics of artistic composition.

San To Chan1, Eliot Fried1

  • 1Mechanics and Materials Unit, Okinawa Institute of Science and Technology Graduate University, Onna, Okinawa 904-0495, Japan.

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|December 13, 2024
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Summary

We developed a novel image clarity metric by comparing original images to "melted" versions. This structural stability metric quantifies image patterns and aids artists and scientists in analyzing visual data.

Keywords:
complexitydigital artsentropyimage analysisstructural stability

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Area of Science:

  • Digital Image Analysis
  • Computational Art
  • Image Processing

Background:

  • Assessing image clarity is crucial for digital art and scientific analysis.
  • Existing metrics may not fully capture structural integrity or color nuances.
  • Digital artists often use a "zoom-out" approach to evaluate visual impact.

Purpose of the Study:

  • To introduce a new metric for quantifying digital image clarity.
  • To demonstrate the metric's versatility across different applications.
  • To explore the role of color as a state variable in visual art.

Main Methods:

  • A novel metric based on comparing original images with progressively "melted" counterparts (adjacent pixel pair flips).
  • Evaluation of structural stability by measuring the presence of stable patterns.
  • Testing the metric's robustness against image compression and color quantization.
  • Application to textural image analysis, physical systems (Potts model), and digital art color theory.

Main Results:

  • The metric assigns zero to uniform/random images and finite values to patterned images.
  • The metric respects color diversity and is robust to common image manipulations.
  • Demonstrated effectiveness in analyzing textural images and physical system transitions.
  • Confirmed color's role as a state variable influencing artistic clarity.

Conclusions:

  • The structural stability metric is a versatile tool for extracting nuanced structural information from digital images.
  • It enhances decision-making in scientific and creative domains, aiding artists in optimizing designs.
  • Combining structural stability with Shannon entropy offers a navigation tool for artistic creation.