Authenticating Pollock paintings using fractal geometry

Taylor, R. P.; Guzman, Roberto De; Martin, T. P.; Hall, G. D. R.; Micolich, A. P.; Jonas, David M.; Scannell, B. C.; Fairbanks, M. S.; Marlow, C. A.

doi:10.1016/j.patrec.2006.08.012

Cited by 98 publications

(83 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…1), their use in paintings and drawings is much more recent. Although this work is still in its relative infancy, statistical methods have shown potential for augmenting traditional approaches to the analysis of visual art by providing new, objective, quantifiable measures that assess artistic style (2)(3)(4)(5), as well as other perceptual dimensions (6)(7)(8)(9). Recent studies have shown that mathematical analyses can produce results in line with accepted art historical findings (2,10).…”

mentioning

confidence: 99%

Quantification of artistic style through sparse coding analysis in the drawings of Pieter Bruegel the Elder

Hughes¹,

Graham

Rockmore

2010

Proc. Natl. Acad. Sci. U.S.A.

View full text Add to dashboard Cite

Recently, statistical techniques have been used to assist art historians in the analysis of works of art. We present a novel technique for the quantification of artistic style that utilizes a sparse coding model. Originally developed in vision research, sparse coding models can be trained to represent any image space by maximizing the kurtosis of a representation of an arbitrarily selected image from that space. We apply such an analysis to successfully distinguish a set of authentic drawings by Pieter Bruegel the Elder from another set of well-known Bruegel imitations. We show that our approach, which involves a direct comparison based on a single relevant statistic, offers a natural and potentially more germane alternative to wavelet-based classification techniques that rely on more complicated statistical frameworks. Specifically, we show that our model provides a method capable of discriminating between authentic and imitation Bruegel drawings that numerically outperforms well-known existing approaches. Finally, we discuss the applications and constraints of our technique. The statistical approaches that can be applied to the analysis of artistic style are varied, as are the potential applications of these approaches. Wavelet-based techniques are often used [e.g., (2)], as are fractals (3), as well as multiresolution hidden Markov methods (11). In this paper, we bring instead the adaptive technique of sparse coding to bear on the problem. Although originally developed for vision research (12), we show that the principle of sparse coding (finding a set of basis functions that is welladapted for the representation of a given class of images) is useful for accomplishing an image classification task important in the analysis of art. In particular, we show that a sparse coding model is appropriate for distinguishing the styles of different artists. This kind of discriminatory ability could be used to provide statistical evidence for, or against, a particular attribution, a task which is usually known as "authentication."In this paper, we consider the application of sparse coding to a particular authentication task, looking at a problem that has already been attacked by statistical techniques (2, 10): distinguishing a set of secure drawings by the great Flemish artist Pieter Bruegel the Elder (1525-1569) from a set of imitation Bruegels, each of whose attribution is generally accepted among art historians. The drawings in the group of imitations were long thought to be by Bruegel (13), so that their comparison to secure Bruegels is especially interesting. The sparse coding model attempts to create the sparsest possible representation of a given image (or set of images). Thus, a useful statistic for the attribution task is to compare the kurtosis of the representations of the authentic and imitation Bruegels in order to determine their similarity to a control set of authentic Bruegel drawings. Fig. 1 shows the steps involved in our analysis.We find that a sparse coding approach successfully distinguishes the secure...

show abstract

mentioning

confidence: 99%

Quantification of artistic style through sparse coding analysis in the drawings of Pieter Bruegel the Elder

Hughes¹,

Graham

Rockmore

2010

Proc. Natl. Acad. Sci. U.S.A.

View full text Add to dashboard Cite

show abstract

“…It incorporates implementation of Fourier and wavelet transforms, along with a covariance matrix and statistical momentum as features. (Further relevant details can be found in [22], [6], [17], [1], [3], [23], [5], [7], [10], [12], [31], [24], [19]. )…”

Section: A Past Workmentioning

confidence: 99%

“…A more recent case of painting authenticity uncertainty is of the Pollock paintings found a decade ago in a storage locker in Wainscott, NY. The authenticity of these paintings was compromised on the basis of computer analysis of the paintings' fractal dimension [31]. This claim was subsequently disputed by analyzing childlike drawings that supposedly have the same fractal dimension as Pollock paintings [13].…”

Section: Introductionmentioning

confidence: 99%

Painter classification using genetic algorithms

Levy

David

Netanyahu

2013

2013 IEEE Congress on Evolutionary Computation

View full text Add to dashboard Cite

Abstract-This paper describes the problem of painter classification. We propose solving the problem by using genetic algorithms, which yields very promising results. The proposed methodology combines dimensionality reduction (via image preprocessing) and evolutionary computation techniques, by representing preprocessed data as a chromosome for a genetic algorithm (GA). The preprocessing of our scheme incorporates a diverse set of complex features (e.g., fractal dimension, Fourier spectra coefficients, and texture). The training phase of the GA employs a weighted nearest neighbor (NN) algorithm. We provide initial promising results for the 2-and 3-class cases, which offer significant improvement in comparison to a standard nearest neighbor classifier.

show abstract

“…Fractal models have also been applied for the analysis of distribution and diversity of species indexes in the field of Biology [41]. In medicine, a physical-mathematical diagnose of the cardiac dynamic has been performed based on dynamic systems [42]; it has also been used for the authentication of Pollock's paintings [43], as well as to classify turbulent flows and the description of irregular fluctuations in several phases [44]. In Chemistry, it has been applied to modify natural starch as a bio-polymeric product [35].…”

Section: Introductionmentioning

confidence: 99%

Thermal Storage Systems Assessment for Energy Sustainability in Housing Units

et al. 2016

View full text Add to dashboard Cite

Abstract:In order to achieve greater enhancements in energy sustainability for housing, the function and efficiency of two different passive cooling systems were studied: encapsulated water in recycled bottles of Polyethylene terephthalate (PET) and polystyrene plates, in comparison with standard concrete slab systems, which are customarily used in housing. Experiments were placed over a tile surface, in which temperature changes were monitored for a period of 20 days from 08:00 to 20:00. The efficiency of passive thermal storage systems was endorsed through statistical analysis using the "SPSS" software. This resulted in a 17% energy saving, thus promoting energy sustainability in housing units, which reduces the use of electrical appliances required to stabilize conditions to achieve optimum thermal comfort for the human body inside a house, therefore, reducing electrical power consumption, CO 2 emissions to the atmosphere and generating savings. Due to the complexity of a system with temperature changes, a fractal analysis was performed for each experimental system, using the "Benoit" software (V.1.3 with self-compatible tools of rescaled range (R/S) and a wavelets method), showing that the thermal fluctuations on the tiles with the thermal storage system adapt to the rescaled range analysis and the regular tiles adapt to the wavelets method.

show abstract

Authenticating Pollock paintings using fractal geometry

Cited by 98 publications

References 9 publications

Quantification of artistic style through sparse coding analysis in the drawings of Pieter Bruegel the Elder

Quantification of artistic style through sparse coding analysis in the drawings of Pieter Bruegel the Elder

Painter classification using genetic algorithms

Thermal Storage Systems Assessment for Energy Sustainability in Housing Units

Contact Info

Product

Resources

About