Structural stability and thermodynamics of artistic composition.

IF 9.4 1区 综合性期刊 Q1 MULTIDISCIPLINARY SCIENCES
San To Chan, Eliot Fried
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引用次数: 0

Abstract

Inspired by the way that digital artists zoom out of the canvas to assess the visual impact of their works, we introduce a conceptually simple yet effective metric for quantifying the clarity of digital images. This metric contrasts original images with progressively "melted" counterparts, produced by randomly flipping adjacent pixel pairs. It measures the presence of stable structures, assigning the value zero to completely uniform or random images and finite values for those with discernible patterns. This metric respects the color diversity of the original image and withstands image compression and color quantization. Its suitability for diverse image analysis problems is demonstrated through its effective evaluation of textural images, the identification of structural transitions in physical systems like the Potts model, and its consistency with color theory in digital arts. This allows us to demonstrate that color in visual art functions as a state variable, akin to the spin configuration in magnets, driving artistic designs to transition between states with distinct clarity. When combined with the Shannon entropy, which quantifies color diversity, the structural stability metric can serve as a navigation tool for artists to explore pathways on the complex structural information landscape toward the completion of their artwork. As a practical demonstration, we apply our metric to refine and optimize an emote design for a video game. The structural stability metric emerges as a versatile tool for extracting nuanced structural information from digital images, which may enhance decision-making and data analysis across scientific and creative domains.

艺术构图的结构稳定性和热力学。
受数字艺术家缩小画布以评估其作品视觉影响的方式的启发,我们引入了一个概念简单但有效的量化数字图像清晰度的指标。这个度量将原始图像与随机翻转相邻像素对产生的逐渐“融化”的对应图像进行对比。它测量稳定结构的存在,对完全均匀或随机的图像赋值为零,对具有可识别模式的图像赋值为有限值。该度量尊重原始图像的颜色多样性,并能承受图像压缩和颜色量化。通过对纹理图像的有效评估、对物理系统(如Potts模型)中的结构过渡的识别以及与数字艺术中的色彩理论的一致性,证明了它对各种图像分析问题的适用性。这使我们能够证明,视觉艺术中的颜色是一种状态变量,类似于磁铁中的自旋配置,驱动艺术设计在不同状态之间清晰地转换。当与量化色彩多样性的香农熵相结合时,结构稳定性度量可以作为艺术家在复杂的结构信息景观中探索完成其艺术作品的路径的导航工具。作为一个实际的演示,我们应用我们的指标来完善和优化电子游戏的远程设计。结构稳定性度量是一种从数字图像中提取细微结构信息的通用工具,可以增强科学和创意领域的决策和数据分析。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
19.00
自引率
0.90%
发文量
3575
审稿时长
2.5 months
期刊介绍: The Proceedings of the National Academy of Sciences (PNAS), a peer-reviewed journal of the National Academy of Sciences (NAS), serves as an authoritative source for high-impact, original research across the biological, physical, and social sciences. With a global scope, the journal welcomes submissions from researchers worldwide, making it an inclusive platform for advancing scientific knowledge.
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