Complexity Analysis of Escher’s Art

Lopes, António M.; Machado, J. A. Tenreiro

doi:10.3390/e21060553

Cited by 7 publications

(6 citation statements)

References 54 publications

(62 reference statements)

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“…The value of life trajectories in artistic analysis is now well recognized [14]. Computational methods that extract quantitative features from canvases are commonly used by art collectors, art dealers and museums for the detection of forgeries but also in art history to identify styles and artists, determine cross-influences, and, more experimentally, have been applied to predict aesthetic ratings (please see review of these methods in [2]).…”

Section: Quantitative Approaches For the Analysis Of Life-time Artist...mentioning

confidence: 99%

The Art of Pain: A Quantitative Colour Analysis of the Self-Portraits of Frida Kahlo

Turkheimer

Liu

Fagerholm

et al. 2022

Preprint

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Frida Kahlo (1907-1954) was a Mexican artist who is remembered for her self-portraits, pain and passion, and bold, vibrant colours. This work aims to use her life story and her artistic production in a longitudinal study to examine with quantitative tools the effects of physical and emotional pain (rage) on artistic expression.Kahlo suffered from polio as a child, was involved in a bus accident as a teenager where she suffered multiple fractures of her spine and had 30 operations throughout her lifetime. She also had a tempestuous relationship with her painter husband, Diego Rivera. Her physical and personal troubles however became the texture of her vivid visual vocabulary — usually expressed through the depiction of Mexican and indigenous culture or the female experience and form.We applied colour analysis to a series of Frida’s self-portraits and revealed a very strong association of physical pain and emotional rage with low wavelength colours (red and yellow), indicating that the expression of her ailments was, consciously or not, achieved by increasing the perceived luminance of the canvas. Further quantitative analysis that used the fractal dimension identified “The broken column” as the portrait with higher compositional complexity, which matches previous critical acclaim of this portrait as the climax of her art. These results confirm the ability of colour analysis to extract emotional and cognitive features from artistic work. We suggest that these tools could be used as markers to support artistic and creative interventions in mental health.

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Section: Quantitative Approaches For the Analysis Of Life-time Artist...mentioning

confidence: 99%

The Art of Pain: A Quantitative Colour Analysis of the Self-Portraits of Frida Kahlo

Turkheimer

Liu

Fagerholm

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

“…The value of life trajectories in artistic analysis is now well recognized (Lopes and Tenreiro Machado, 2019). Computational methods that extract quantitative features from canvases are commonly used by art collectors, art dealers and museums for the detection of forgeries but also in art history to identify styles and artists, determine cross-influences, and, more experimentally, have been applied to predict aesthetic ratings [please see review of these methods in Brachmann and Redies (2017)].…”

Section: Quantitative Approaches For the Analysis Of Life-time Artist...mentioning

confidence: 99%

The art of pain: A quantitative color analysis of the self-portraits of Frida Kahlo

Turkheimer

Liu²,

Fagerholm³

et al. 2022

Front. Hum. Neurosci.

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Frida Kahlo (1907–1954) was a Mexican artist who is remembered for her self-portraits, pain and passion, and bold, vibrant colors. This work aims to use her life story and her artistic production in a longitudinal study to examine with quantitative tools the effects of physical and emotional pain (rage) on artistic expression. Kahlo suffered from polio as a child, was involved in a bus accident as a teenager where she suffered multiple fractures of her spine and had 30 operations throughout her lifetime. She also had a tempestuous relationship with her painter husband, Diego Rivera. Her physical and personal troubles however became the texture of her vivid visual vocabulary—usually expressed through the depiction of Mexican and indigenous culture or the female experience and form. We applied color analysis to a series of Frida's self-portraits and revealed a very strong association of physical pain and emotional rage with low wavelength colors (red and yellow), indicating that the expression of her ailments was, consciously or not, achieved by increasing the perceived luminance of the canvas. Further quantitative analysis that used the fractal dimension identified “The broken column” as the portrait with higher compositional complexity, which matches previous critical acclaim of this portrait as the climax of her art. These results confirm the ability of color analysis to extract emotional and cognitive features from artistic work. We suggest that these tools could be used as markers to support artistic and creative interventions in mental health.

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“…In fact, all of those questions had endorsing important inferences for academic areas such as, architecture [2], cell geometry [3], [4], material sciences [5], medicine [6][7][8][9], even aesthetics [10], philosophy [2] and arts [11]. In addition, the mathematical perspective of topology, dynamical systems and other important areas related with geometry, statistics and discrete mathematics have been involved in a lot of important achievements [12][13][14][15], mainly tracked by new emerging questions rather than achievements of solid answers.…”

Section: Introductionmentioning

confidence: 99%

Determining Levels of Biological Geometric Information at Polygonal Shape Patterns

P¹,

López-Sauceda²,

Jg³

et al. 2021

Preprint

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Based on a measuring system to determine the statistical heterogeneity of individual polygons we propose a method to use polygonal shape patterns as a source of data in order to determine the Shannon entropy of biological organizations. In this research, the term entropy is a particular amount of data related with levels of spatial heterogeneity in a series of different geometrical meshes and sets of random polygons. We propose that this notion of entropy is important to measure levels of information in units of bits, measuring quantities of heterogeneity in geometrical systems. In fact, one important result is that binarization of heterogeneity frequencies yields a supported metric to determine geometrical information from complex configurations. Thirty-five geometric aggregates are tested; biological and non-biological, in order to obtain experimental results of their spatial heterogeneity which is verified with the Shannon entropy parameter defining low particular levels of geometrical information in biological samples. Geometrical aggregates (meshes) include a spectrum of organizations ranging from cell meshes to ecological patterns. Experimental results show that a particular range (0.08 and 0.27) of information is intrinsically associated with low rates of heterogeneity. We conclude it as an intrinsic feature of geometrical organizations in multi-scaling biological systems.

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Complexity Analysis of Escher’s Art

Cited by 7 publications

References 54 publications

The Art of Pain: A Quantitative Colour Analysis of the Self-Portraits of Frida Kahlo

The Art of Pain: A Quantitative Colour Analysis of the Self-Portraits of Frida Kahlo

The art of pain: A quantitative color analysis of the self-portraits of Frida Kahlo

Determining Levels of Biological Geometric Information at Polygonal Shape Patterns

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