Download - Metamerism Art 2013
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http://www.cg.info.hiroshima-cu.ac.jp/
Computer Graphics Laboratory, Hiroshima City University
Mixing paints for generating metamerism art under 2 lights and 3
object colors
Daisuke Miyazaki Kanami Takahashi
Masashi Baba Hirooki Aoki
Ryo Furukawa Masahito Aoyama
Shinsaku Hiura
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http://www.cg.info.hiroshima-cu.ac.jp/
CG Lab, Hiroshima City University
Metamer sets
Light 1
Light 2
Same
Different
R: 93G: 79B: 94
R: 93G: 79B: 93
R: 81G: 77B: 98
R: 99G: 82B: 101
Introduction(1/3) Perception(3) Reflection model(5) Cost function(4) Experiment(3)
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http://www.cg.info.hiroshima-cu.ac.jp/
CG Lab, Hiroshima City University
Related work
Art [Valluzzi 2012] Watermark [Bala, Braun, Loce 2009]
[Our work]Intentionally cause expected metamerism for oil painting art
Introduction(2/3) Perception(3) Reflection model(5) Cost function(4) Experiment(3)
Microbiology [Kobayashi, Yamada, Hiraishi, Nakauchi 2012]
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http://www.cg.info.hiroshima-cu.ac.jp/
CG Lab, Hiroshima City University
Light 1 Light 2
Mix paint 3
Mix paint 1
Mix paint 2
Purpose
Introduction(3/3) Perception(3) Reflection model(5) Cost function(4) Experiment(3)
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http://www.cg.info.hiroshima-cu.ac.jp/
CG Lab, Hiroshima City University
Light ObjectSpectral responseCIE-XYZ value
Human perception
Introduction(3) Perception(1/3) Reflection model(5) Cost function(4) Experiment(3)
400nm
800nm
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http://www.cg.info.hiroshima-cu.ac.jp/
CG Lab, Hiroshima City University
Spectral distribution: same color
Color matching func.(CIE-XYZ)
Light 1 Paint 1
Paint 2
X: 0.36Y: 0.50Z: 0.14
X: 0.36Y: 0.50Z: 0.14
Light 1Color matching func.(CIE-XYZ)
Introduction(3) Perception(2/3) Reflection model(5) Cost function(4) Experiment(3)
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http://www.cg.info.hiroshima-cu.ac.jp/
CG Lab, Hiroshima City University
Spectral distribution: different color
Color matching func.(CIE-XYZ)
Light 2 Paint 1
Paint 2
X: 0.35Y: 0.48Z: 0.17
X: 0.38Y: 0.46Z: 0.16
Light 2Color matching func.(CIE-XYZ)
Introduction(3) Perception(3/3) Reflection model(5) Cost function(4) Experiment(3)
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http://www.cg.info.hiroshima-cu.ac.jp/
CG Lab, Hiroshima City University
Reflection model of mixing paints
[Finlayson, Morovic 2005][Alsam, Finlayson 2007][Miyazaki, Nakamura, Baba, Furukawa, Aoyama, Hiura, Asada 2012]
pp NN dwdwdws 2211pN
p
w
Nww ddds 2121
Elegant relationship
pp
pN
p NN
w
Nww dwdwdwddds logloglogexp 221121
21
Previous model: linear model Our model: exponential model
Our model = linear model in logarithmic space
Introduction(3) Perception(3) Reflection model(1/5) Cost function(4) Experiment(3)
d: spectral reflectancew: mixing weight
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http://www.cg.info.hiroshima-cu.ac.jp/
CG Lab, Hiroshima City University
Incident light Diffusely reflected light
d1 =10
Reflectance: Paint 1
Introduction(3) Perception(3) Reflection model(2/5) Cost function(4) Experiment(3)
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http://www.cg.info.hiroshima-cu.ac.jp/
CG Lab, Hiroshima City University
Incident light Diffusely reflected light
d2 =10
Reflectance: Paint 2
Introduction(3) Perception(3) Reflection model(3/5) Cost function(4) Experiment(3)
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http://www.cg.info.hiroshima-cu.ac.jp/
CG Lab, Hiroshima City University
Incident light Diffusely reflected light
Reflectance =110
7 3d1 d2
101
Reflectance: Paint 1 & 2
Introduction(3) Perception(3) Reflection model(4/5) Cost function(4) Experiment(3)
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http://www.cg.info.hiroshima-cu.ac.jp/
CG Lab, Hiroshima City University
Light E
Mixing weight w
Database D
Perception P
Recognized color
PEDw
Introduction(3) Perception(3) Reflection model(5/5) Cost function(4) Experiment(3)
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http://www.cg.info.hiroshima-cu.ac.jp/
CG Lab, Hiroshima City University
Dw1 D
w2Dw3
Paint 1 Paint 3 Paint 2
Cost function
Introduction(3) Perception(3) Reflection model(5) Cost function(1/4) Experiment(3)
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http://www.cg.info.hiroshima-cu.ac.jp/
CG Lab, Hiroshima City University
Cost function
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http://www.cg.info.hiroshima-cu.ac.jp/
CG Lab, Hiroshima City University
PE D1w1 PE D PE D1 1
w w3 2
PE D PE D PE Dw w w2 2 2
1 3 2
Paint 1 Paint 3 Paint 2
Paint 1 Paint 3 Paint 2
E1
E2
Cost function
Introduction(3) Perception(3) Reflection model(5) Cost function(2/4) Experiment(3)
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http://www.cg.info.hiroshima-cu.ac.jp/
CG Lab, Hiroshima City University
PE D1w3
PE Dw
23
PE D1w1 PE D1
w2
PE D PE Dw w2 2
1
PE D1w3
PE Dw
23 2
min
min
max
max
Cost function
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http://www.cg.info.hiroshima-cu.ac.jp/
CG Lab, Hiroshima City University
min PE D1w1 PE D PE D PE D1 1 1
w w w3 3 2
PE D PE D PE D PE Dw w w w2 2 2 2
1 3 3 2min
max
max
Cost function
Introduction(3) Perception(3) Reflection model(5) Cost function(3/4) Experiment(3)
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http://www.cg.info.hiroshima-cu.ac.jp/
CG Lab, Hiroshima City University
arg minw1, w2, w3
PE D1w1 PE D PE D PE D
2 0.51 1 1
w w w3 3 2
20.5PE D PE D PE D PE Dw w w w
2 2 2 21 3 3 2
Cost function
Introduction(3) Perception(3) Reflection model(5) Cost function(4/4) Experiment(3)
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http://www.cg.info.hiroshima-cu.ac.jp/
CG Lab, Hiroshima City University
Artificial sunlight
Hyper-spectral camera
Diffuse whitereflectance standard
Narrow-bandfilter
Oil paints
Experimental equipments
Introduction(3) Perception(3) Reflection model(5) Cost function(4) Experiment(1/3)
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http://www.cg.info.hiroshima-cu.ac.jp/
CG Lab, Hiroshima City University
Synthesized paint 3
Synthesized paint 2
Synthesized paint 1
Result
Introduction(3) Perception(3) Reflection model(5) Cost function(4) Experiment(2/3)
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http://www.cg.info.hiroshima-cu.ac.jp/
CG Lab, Hiroshima City University
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http://www.cg.info.hiroshima-cu.ac.jp/
Computer Graphics Laboratory, Hiroshima City University
(c) Daisuke Miyazaki 2013All rights reserved.
http://www.cg.info.hiroshima-cu.ac.jp/~miyazaki/Daisuke Miyazaki, Kanami Takahashi, Masashi Baba, Hirooki
Aoki, Ryo Furukawa, Masahito Aoyama, Shinsaku Hiura, “Mixing paints for generating metamerism art under 2 lights
and 3 object colors,” CPCV, 2013.