large-scale quantitative analysis of painting arts (2012 fall kps)
TRANSCRIPT
Large-Scale Quantitative Analysis of Painting Arts
김영호*,1, 손승우2, 정하웅1,3
1 Department of Physics, KAIST2 Department of applied physics, Hanyang University
3 Institute for the BioCentury, KAIST
Note* Title: Schloss Wilhelmshöhe with the Habichtswald c. 1800 Oil on canvas Neue Galerie, Kassel * Artist: German painter, Johann Erdmann Hummel (11 September 1769, Kassel — 26 October 1852, Berlin)
100 101 102 103 104 105 106
Rank: r
10-2
10-4
10-6
10-8
10-10
MedievalEarly Renaissance
Northern RenaissanceHigh Renaissance
MannerismBaroqueRococo
NeoclassicismRomanticism
RealismPhotograph
Normalized rank: r
10-2
10-3
10-4
10-5
10-6
10-7
10-8
10-9
10-6 10-5 10-4 10-3 10-2 10-1 100
P(r)
Comparison: Painting and Photo
100 101 102 103 104 105 106
Rank: r
10-2
10-4
10-6
10-8
10-10
P(r)
107
NeoclassicismPhotograph
Hyper-realismPhoto: Oil(4,192)×2
Photo: BlurPhoto: Soften
100 101 102 103 104 105 106
Rank: r
10-2
10-4
10-6
10-8
10-10
MedievalEarly Renaissance
Northern RenaissanceHigh Renaissance
MannerismBaroqueRococo
NeoclassicismRomanticism
RealismPhotograph
Normalized rank: r
10-2
10-3
10-4
10-5
10-6
10-7
10-8
10-9
10-6 10-5 10-4 10-3 10-2 10-1 100
P(r)
100 101 102 103 104 105 106
Rank: r
10-2
10-4
10-6
10-8
10-10
MedievalEarly Renaissance
Northern RenaissanceHigh Renaissance
MannerismBaroqueRococo
NeoclassicismRomanticism
RealismPhotograph
Normalized rank: r
10-2
10-3
10-4
10-5
10-6
10-7
10-8
10-9
10-6 10-5 10-4 10-3 10-2 10-1 100
P(r)
Measuring“fractal dimension“in RGB color space
)/(log
)(loglim)(
10
NSdbox
Blue
Red
250200150100
500
50
100
150
200
250 050 Green
100150
200250
Box-
coun
ting
dim
ensi
on3
2.8
2.6
2.4
2.2
2
Period
Art historical consideration
In the medieval age …
1. Specific rare pigments were preferred.2. There was no physical mixing technique.
Since then …
1. The oil colors and the color mixing technique.2. New painting techniques
such as Chiaroscuro, Sfumato, Cangiante, …
The
num
ber o
f col
ors
107
106
105
104
103
102
10-3 10-2 10-1 100
Box Size: 1/ε
Jackson Pollock
~ x2.35
Measuring“surface roughness"
Roughness exponent
Brightness
Y-axis
2h(x)r)h(xG(r)
2~ r
255
0
200400
600800
0
200400
600800
1000X-axis
0
Measuring“surface roughness"r
104
103G(r
)
102
100 101 102 103
2α ~0.28
Brightness
Y-axis
255
0
200400
600800
0
200400
600800
1000X-axis
0
Art historical consideration
Since Renaissance period …
1. The diversification of painting genres2. The new painting techniques
Chiaroscuro
Art historical consideration
Since Renaissance period …
1. The diversification of painting genres2. The new painting techniques
Chiaroscuro
Brightness
X-axisY-axis
Brightness
X-axisY-axis
r
104
103
102
100 101 102 103
2α ~0.28
G(r
)
r100 101 102 103
101
102
103
104
105
G(r
) 2α~0.008
Summary• 8,692 European paintings are analyzed.
• Paintings and photographs can be statistically distinguished by rank-ordered color usage distribution shape.
• The changes of fractal dimension with the times can be historically interpreted as color palette expansion.
• Increasing trend of brightness surface roughness can be described as the art historical renovation of painting techniqueand the diversification of painting genre.
• Jackson Pollock’s drip paintings are close to random images compared to European paintings based on roughness exponent values