pigmented colorants: dependence on media and time - Cornell ...

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2007 Jeffrey Blaine Budsberg ALL RIGHTS RESERVED
ABSTRACT We present a physically based model for predicting the visual appearance of artists’ paint, which is dependent on both time and the material that binds the colorant to a surface. In our study, we captured the reflectance spectra of a large number of paint samples at different intervals in time over the course of six months. These paint samples were handmade to ensure material quality, using various <strong>pigmented</strong> colorants and adhesive binding media. Converting our spectral data into different perceptually uniform color spaces, we show very significant perceptual differences in two domains: the appearance of paint changes over time; and the appearance of one <strong>pigmented</strong> colorant varies when dispersed in different materials. Finally, we present an interactive viewer for predictive <strong>pigmented</strong> color mixture utilizing the paint reflectance spectra, Kubelka Munk theory and modern graphics hardware.
Page 1: PIGMENTED COLORANTS: DEPENDENCE ON
Page 5 and 6: Acknowledgements This work would no
Page 7 and 8: Table of Contents 1 Introduction 1
Page 9 and 10: List of Tables 2.1 Average pigment
Page 11 and 12: 3.15 Photoreceptor absorption .....
Page 13 and 14: B.15 Variation of spectral reflecta
Page 15 and 16: corrode the surfaces of materials.
Page 17 and 18: Figure 1.1: Detail of the Azor-Sado
Page 19 and 20: However, since mural artwork is typ
Page 21 and 22: at a very high quality (albeit limi
Page 23 and 24: heterogeneous sum of very different
Page 25 and 26: which linseed oil derives (the most
Page 27 and 28: oration of a rigidly painted layer
Page 29 and 30: ing will hit the ground and reflect
Page 31 and 32: tion of paint tubes in 1841 and the
Page 33 and 34: Figure 2.8: Natural pigments of ant
Page 35 and 36: ecome more common recently. The Ame
Page 37 and 38: A V = O(r2 ) O(r3 ) = 1 O(r) 24 (2.
Page 39 and 40: Table 2.2: Pigment specific gravity
Page 41 and 42: provide the underlying color to a p
Page 43 and 44: though the speed of light in air is
Page 45 and 46: In general, when light travels from
Page 47 and 48: materials while lit from behind. Li
Page 49 and 50: Table 2.4: Index of refraction η f
Page 51 and 52: to completely congeal. Hence, these
Page 53 and 54:
ond together to form proteins. Exam
Page 55 and 56:
to its original state by any means.
Page 57 and 58:
While it has been used since the 19
Page 59 and 60:
organic binder found in more conven
Page 61 and 62:
3.1.1 Visible Light Spectrum Light
Page 63 and 64:
Figure 3.2: Hue, brightness and sat
Page 65 and 66:
measures how much light is reflecte
Page 67 and 68:
Figure 3.6: Additive color mixing o
Page 69 and 70:
Figure 3.9: The physical amount of
Page 71 and 72:
The vascular tunic lies on the wall
Page 73 and 74:
Figure 3.11: Cross section of the r
Page 75 and 76:
Not all areas have the same sensiti
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identify and distinguish between va
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that range between zero and full in
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spectrum. This insures that the res
Page 83 and 84:
Figure 3.19: Graphical representati
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X x = (X + Y + Z) Y y = (X + Y + Z)
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color into the appropriate RGB colo
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components in the image (the smalle
Page 91 and 92:
haviors of subtractive mixing and i
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of perceptually equal sizes. Unfort
Page 95 and 96:
enabling one to transform between t
Page 97 and 98:
andwidth as converted signals are s
Page 99 and 100:
Figure 3.28: Retinal ganglion recep
Page 101 and 102:
example shown in Figure 3.28. Under
Page 103 and 104:
Figure 3.31: The work of Josef Albe
Page 105 and 106:
sensations for each trial and picke
Page 107 and 108:
Chapter 4 Previous Work There is no
Page 109 and 110:
different location. Subsurface scat
Page 111 and 112:
describes the scattering and absorp
Page 113 and 114:
only accounts for a small percentag
Page 115 and 116:
σ ′ t = σa + σ ′ s and α
Page 117 and 118:
104 Figure 4.4: A model of an alaba
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effects or are too computationally
Page 121 and 122:
108 Figure 4.6: Results using Kubel
Page 123 and 124:
specifying pigments works adequatel
Page 125 and 126:
color representation, it is not fea
Page 127 and 128:
time. A metallic surface patina is
Page 129 and 130:
the system consisted of wetness and
Page 131 and 132:
or darkening enables the museum per
Page 133 and 134:
in front of a displayed work. Felle
Page 135 and 136:
light exposure. This effect is espe
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over time. Perceptually, these hues
Page 139 and 140:
The rate of change of the concentra
Page 141 and 142:
over white grounds) suffer the grea
Page 143 and 144:
protects the deeper remaining color
Page 145 and 146:
light source. This method is used w
Page 147 and 148:
chemical smog and have been identif
Page 149 and 150:
Chapter 5 Preparation & Measurement
Page 151 and 152:
tending transparent pigments used i
Page 153 and 154:
140 Figure 5.1: Spectral reflectanc
Page 155 and 156:
the requirements of the work at han
Page 157 and 158:
144 Figure 5.2: Left: Magnified vie
Page 159 and 160:
Table 5.2: Relevant data regarding
Page 161 and 162:
historically one of the best grades
Page 163 and 164:
created far too strong of a binder,
Page 165 and 166:
too brittle and cracking. While wor
Page 167 and 168:
154 Figure 5.4: Reflectance values
Page 169 and 170:
5.1.5 Painting After the layers of
Page 171 and 172:
The gray card reflected 18% of the
Page 173 and 174:
160 Figure 5.8: The optical setup f
Page 175 and 176:
Note that harmonics reflect at the
Page 177 and 178:
Note that the calibration factors f
Page 179 and 180:
Chapter 6 Experimental Results 6.1
Page 181 and 182:
168 Figure 6.1: Lapis Lazuli in dif
Page 183 and 184:
(such as CIE standards C, D50, orD6
Page 185 and 186:
172 Table 6.2: Perceptual differenc
Page 187 and 188:
174 Figure 6.3: Munsell plots of La
Page 189 and 190:
and j has a saturation of red rsat,
Page 191 and 192:
178 Figure 6.4: Variation of spectr
Page 193 and 194:
visible spectrum are increasing at
Page 195 and 196:
182 Figure 6.5: Munsell plots of La
Page 197 and 198:
trying to match color ca from the p
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as it ages. This is in direct contr
Page 201 and 202:
teractive viewer. In our applicatio
Page 203 and 204:
190 Figure 7.1: Our simulated canva
Page 205 and 206:
where n is the normal at the curren
Page 207 and 208:
In summary, our implementation prov
Page 209 and 210:
Chapter 8 Conclusion We have studie
Page 211 and 212:
inks are beginning to find their wa
Page 213 and 214:
Appendix A Derivation of K-M theory
Page 215 and 216:
∆i − =(K + S) idx 202 ∆j −
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Equation A.8 is now: Rearranging yi
Page 219 and 220:
and if the paint is infinitely thic
Page 221 and 222:
One concatenates the layers into a
Page 223 and 224:
210 Figure B.1: Cold Glauconite in
Page 225 and 226:
Table B.1: Color conversions from t
Page 227 and 228:
214 Figure B.4: Munsell plots of Co
Page 229 and 230:
216 Figure B.5: Burnt Sienna in dif
Page 231 and 232:
Page 233 and 234:
220 Figure B.8: Munsell plots of La
Page 235 and 236:
222 Figure B.9: Red Ochre Tint in d
Page 237 and 238:
Page 239 and 240:
226 Figure B.12: Munsell plots of C
Page 241 and 242:
228 Figure B.13: Variation of spect
Page 243 and 244:
230 Figure B.15: Variation of spect
Page 245 and 246:
Table B.13: Color conversions of Bu
Page 247 and 248:
234 Figure B.18: Munsell plots of C
Page 249 and 250:
236 Figure B.20: Munsell plots of R
Page 251 and 252:
References [Alb71] Josef Albers. In
Page 253 and 254:
240 [GLL + 04] Michael Goesele, Hen
Page 255 and 256:
242 [KM31] Paul Kubelka and Franz M
Page 257 and 258:
[Rat72] Floyd Ratliff. Contour and
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