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daisuke-miyazaki
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メタメリズムを使ったアート作品を作るための絵の具の調合割合を計算する手法を開発しました.ある光のもとで観測した油絵と別の光のもとで観測した油絵が異なる絵に見えるトリックアート作品を作ることができます. We proposed a method to estimate the mixing ratio of oil paints in order to create artistic illusion caused by metameric paints. You can create artistic illusion that makes different picture seen under different light.
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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
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)
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]
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)
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
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)
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)
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
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)
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)
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)
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)
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)
http://www.cg.info.hiroshima-cu.ac.jp/
CG Lab, Hiroshima City University
Cost function
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)
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
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)
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)
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)
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)
http://www.cg.info.hiroshima-cu.ac.jp/
CG Lab, Hiroshima City University
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.