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

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specifying pigments works adequately for creating a wide range of plausible paints,<br />

without the careful measurements needed for true K-M theory.<br />

110<br />

Figure 4.9: Various synthetic pigments determined interactively from<br />

Curtis et al. The swatches are painted over a black stripe to distinguish<br />

the more opaque pigments from transparent <strong>on</strong>es. Adapted<br />

from [CAS + 97].<br />

The optical compositing equati<strong>on</strong>s are used to determine the overall reflectance<br />

of the layers <strong>and</strong> reas<strong>on</strong>able results are achieved. Although the watercolor renderer<br />

runs too slowly for interactive painting, the work dem<strong>on</strong>strated that compositing<br />

many glazes of pigments using the K-M model was feasible in real-<strong>time</strong>. The<br />

model used simpler rendering <strong>and</strong> a lower resoluti<strong>on</strong> during user interacti<strong>on</strong>, <strong>and</strong><br />

then added more detail <strong>and</strong> more accurate colors as a post-processing step.<br />

Rudolf et al. used the same form as Curtis et al. in their wax cray<strong>on</strong> simu-<br />

lati<strong>on</strong> [RMN03]. Cray<strong>on</strong>s were treated as a translucent <str<strong>on</strong>g>pigmented</str<strong>on</strong>g> material (this<br />

is different from real world cray<strong>on</strong>s, as they c<strong>on</strong>tain other impurities). The model<br />

used three wavelengths for the K-M coefficients <strong>and</strong> the cray<strong>on</strong> colors were sim-<br />

ilarly not derived from real-world measured materials. The model was also not<br />

fast enough for real-<strong>time</strong> rendering, but still served as a good preview-<strong>and</strong>-render<br />

system (strokes took 0.3-2 sec<strong>on</strong>ds to render <strong>on</strong> a high end workstati<strong>on</strong> of the <strong>time</strong><br />

of the paper).<br />

However, there are issues with these implementati<strong>on</strong>s of Kubelka-Munk theory.

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