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埃舍尔艺术的复杂性分析

Complexity Analysis of Escher's Art.

作者信息

Lopes António M, Tenreiro Machado J A

机构信息

UISPA-LAETA/INEGI, Faculty of Engineering, University of Porto, Rua Dr. Roberto Frias, 4200-465 Porto, Portugal.

Institute of Engineering, Polytechnic of Porto, Department of Electrical Engineering, R. Dr. António Bernardino de Almeida, 431, 4249-015 Porto, Portugal.

出版信息

Entropy (Basel). 2019 May 31;21(6):553. doi: 10.3390/e21060553.

DOI:10.3390/e21060553
PMID:33267267
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7515042/
Abstract

Art is the output of a complex system based on the human spirit and driven by several inputs that embed social, cultural, economic and technological aspects of a given epoch. A solid quantitative analysis of art poses considerable difficulties and reaching assertive conclusions is a formidable challenge. In this paper, we adopt complexity indices, dimensionality-reduction and visualization techniques for studying the evolution of Escher's art. Grayscale versions of 457 artworks are analyzed by means of complexity indices and represented using the multidimensional scaling technique. The results are correlated with the distinct periods of Escher's artistic production. The time evolution of the complexity and the emergent patterns demonstrate the effectiveness of the approach for a quantitative characterization of art.

摘要

艺术是一个基于人类精神的复杂系统的产物，由若干嵌入特定时代社会、文化、经济和技术层面的输入因素驱动。对艺术进行扎实的定量分析存在相当大的困难，得出确定性结论是一项艰巨的挑战。在本文中，我们采用复杂性指标、降维和可视化技术来研究埃舍尔艺术的演变。通过复杂性指标对457幅艺术作品的灰度版本进行分析，并使用多维缩放技术进行呈现。结果与埃舍尔艺术创作的不同时期相关联。复杂性的时间演变和涌现模式证明了该方法对艺术进行定量表征的有效性。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d6fa/7515042/7ff058ff97e5/entropy-21-00553-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d6fa/7515042/9bdcde89af6f/entropy-21-00553-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d6fa/7515042/03b1f18cc9ce/entropy-21-00553-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d6fa/7515042/cc502fde6f8e/entropy-21-00553-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d6fa/7515042/f96d1fdb1f73/entropy-21-00553-g004a.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d6fa/7515042/9fe27f99f435/entropy-21-00553-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d6fa/7515042/85491ec8bfde/entropy-21-00553-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d6fa/7515042/21037b37251e/entropy-21-00553-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d6fa/7515042/7ff058ff97e5/entropy-21-00553-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d6fa/7515042/9bdcde89af6f/entropy-21-00553-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d6fa/7515042/03b1f18cc9ce/entropy-21-00553-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d6fa/7515042/cc502fde6f8e/entropy-21-00553-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d6fa/7515042/f96d1fdb1f73/entropy-21-00553-g004a.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d6fa/7515042/9fe27f99f435/entropy-21-00553-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d6fa/7515042/85491ec8bfde/entropy-21-00553-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d6fa/7515042/21037b37251e/entropy-21-00553-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d6fa/7515042/7ff058ff97e5/entropy-21-00553-g008.jpg

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本文引用的文献

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History of art paintings through the lens of entropy and complexity.艺术绘画的历史透过熵和复杂性的视角。
Proc Natl Acad Sci U S A. 2018 Sep 11;115(37):E8585-E8594. doi: 10.1073/pnas.1800083115. Epub 2018 Aug 27.
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