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.\" RCSid "$Id$" |
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.\" Print using the -ms macro package |
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.DA 07/31/2014 |
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.DA 12/09/2024 |
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.LP |
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.tl """Copyright \(co 2014 Regents, University of California |
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.tl """Copyright \(co 2024 Regents, University of California |
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.sp 2 |
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.TL |
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The |
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8 red green blue spec urough vrough trans tspec |
623 |
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.DE |
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|
.LP |
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.UL Ashik2 |
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.PP |
627 |
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Ashik2 is the anisotropic reflectance model by Ashikhmin & Shirley. |
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The string arguments are the same as for plastic2, but the real |
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arguments have additional flexibility to specify the specular color. |
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Also, rather than roughness, specular power is used, which has no |
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physical meaning other than larger numbers are equivalent to a smoother |
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surface. |
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Unlike other material types, total reflectance is the sum of |
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diffuse and specular colors, and should be adjusted accordingly. |
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.DS |
636 |
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mod ashik2 id |
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4+ ux uy uz funcfile transform |
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0 |
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8 dred dgrn dblu sred sgrn sblu u-power v-power |
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.DE |
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.LP |
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.UL WGMDfunc |
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.PP |
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WGMDfunc is a more programmable version of trans2, |
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with separate modifier paths and variables to control each component. |
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(WGMD stands for Ward-Geisler-Moroder-Duer, which is the basis for |
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this empirical model, similar to the previous ones beside Ashik2.)\0 |
648 |
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The specification of this material is given below. |
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.DS |
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mod WGMDfunc id |
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13+ rs_mod rs rs_urough rs_vrough |
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ts_mod ts ts_urough ts_vrough |
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td_mod |
654 |
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ux uy uz funcfile transform |
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0 |
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+ |
9+ rfdif gfdif bfdif |
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rbdif gbdif bbdif |
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rtdif gtdif btdif |
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A10 .. |
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.DE |
661 |
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The sum of specular reflectance ( |
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.I rs |
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), specular transmittance ( |
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.I ts |
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), diffuse reflectance ( |
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.I "rfdif gfdif bfdif" |
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for front and |
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.I "rbdif gbdif bbdif" |
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for back) |
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and diffuse transmittance ( |
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.I "rtdif gtdif btdif" |
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) should be less than 1 for each |
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channel. |
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.PP |
675 |
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Unique to this material, separate modifier channels are |
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provided for each component. |
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The main modifier is used on the diffuse reflectance, both |
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front and back. |
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The |
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.I rs_mod |
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modifier is used for specular reflectance. |
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If "void" is given for |
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.I rs_mod, |
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then the specular reflection color will be white. |
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The special "inherit" keyword may also be given, in which case |
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specular reflectance will share the main modifier. |
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This behavior is replicated for the specular transmittance modifier |
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.I ts_mod, |
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which has its own independent roughness expressions. |
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Finally, the diffuse transmittance modifier is given as |
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.I td_mod, |
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which may also be "void" or "inherit". |
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Note that any spectra or color for specular components must be |
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carried by the named modifier(s). |
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.PP |
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The main advantage to this material over BRTDfunc and |
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other programmable types described below is that the specular sampling is |
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well-defined, so that all components are fully computed. |
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.LP |
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.UL Dielectric |
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.PP |
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A dielectric material is transparent, and it refracts light |
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Unlike other data-driven material types, the BSDF type is fully |
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supported and all parts of the distribution are properly sampled. |
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.LP |
1010 |
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.UL aBSDF |
1011 |
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.PP |
1012 |
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The aBSDF material is identical to the BSDF type with two important |
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differences. |
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First, proxy geometry is not supported, so there is no thickness parameter. |
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Second, an aBSDF is assumed to have some specular through component |
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(the 'a' stands for "aperture"), which |
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is treated specially during the direct calculation and when viewing the |
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material. |
1019 |
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Based on the BSDF data, the coefficient of specular transmission is |
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determined and used for modifying unscattered shadow and view rays. |
1021 |
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.DS |
1022 |
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mod aBSDF id |
1023 |
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5+ BSDFfile ux uy uz funcfile transform |
1024 |
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0 |
1025 |
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0|3|6|9 |
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rfdif gfdif bfdif |
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rbdif gbdif bbdif |
1028 |
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rtdif gtdif btdif |
1029 |
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.DE |
1030 |
+ |
.LP |
1031 |
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If a material has no specular transmitted component, it is much better |
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to use the BSDF type with a zero thickness than to use aBSDF. |
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.LP |
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|
.UL Antimatter |
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.PP |
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Antimatter is a material that can "subtract" volumes from other volumes. |
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The first modifier will also be used to shade the area leaving the |
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antimatter volume and entering the regular volume. |
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If mod1 is void, the antimatter volume is completely invisible. |
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Antimatter does not work properly with the material type "trans", |
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and multiple antimatter surfaces should be disjoint. |
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If shading is desired at antimatter surfaces, it is important |
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that the related volumes are closed with outward-facing normals. |
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Antimatter surfaces should not intersect with other antimatter boundaries, |
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and it is unwise to use the same modifier in nested antimatter volumes. |
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The viewpoint must be outside all volumes concerned for a correct |
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rendering. |
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.NH 3 |
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font such as hexbit4x1.fnt, calls for uniform spacing. |
1253 |
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Reasonable magnitudes for proportional spacing are |
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between 0.1 (for tightly spaced characters) and 0.3 (for wide spacing). |
1255 |
+ |
.LP |
1256 |
+ |
.UL Spectrum |
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+ |
.PP |
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The spectrum primitive is the most basic type for introducing spectral |
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color to a material. |
1260 |
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Since materials only provide RGB parameters, spectral patterns |
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are the only way to superimpose wavelength-dependent behavior. |
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.DS |
1263 |
+ |
mod spectrum id |
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+ |
0 |
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0 |
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5+ nmA nmB s1 s2 .. sN |
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.DE |
1268 |
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The first two real arguments indicate the extrema of the |
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spectral range in nanometers. |
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Subsequent real values correspond to multipliers at each wavelength. |
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The nmA wavelength may be greater or less than nmB, |
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but they may not be equal, and their ordering matches |
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the order of the spectral values. |
1274 |
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A minimum of 3 values must be given, which would act |
1275 |
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more or less the same as a constant RGB multiplier. |
1276 |
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As with RGB values, spectral quantities normally range between 0 |
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and 1 at each wavelength, or average to 1.0 against a standard |
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sensitivity functions such as V(lambda). |
1279 |
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The best results obtain when the spectral range and number |
1280 |
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of samples match rendering options, though resampling will handle |
1281 |
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any differences, zero-filling wavelenths outside the nmA to nmB |
1282 |
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range. |
1283 |
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A warning will be issued if the given wavelength range does not |
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adequately cover the visible spectrum. |
1285 |
+ |
.LP |
1286 |
+ |
.UL Specfile |
1287 |
+ |
.PP |
1288 |
+ |
The specfile primitive is equivalent to the spectrum type, but |
1289 |
+ |
the wavelength range and values are contained in a 1-dimensional |
1290 |
+ |
data file. |
1291 |
+ |
This may be a more convenient way to specify a spectral color, |
1292 |
+ |
especially one corresponding to a standard illuminant such as D65 |
1293 |
+ |
or a library of measured spectra. |
1294 |
+ |
.DS |
1295 |
+ |
mod specfile id |
1296 |
+ |
1 datafile |
1297 |
+ |
0 |
1298 |
+ |
0 |
1299 |
+ |
.DE |
1300 |
+ |
As with the spectrum type, rendering wavelengths outside the defined |
1301 |
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range will be zero-filled. |
1302 |
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Unlike the spectrum type, the file may contain non-uniform samples. |
1303 |
+ |
.LP |
1304 |
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.UL Specfunc |
1305 |
+ |
.PP |
1306 |
+ |
The specfunc primitive offers dynamic control over a spectral |
1307 |
+ |
pattern, similar to the colorfunc type. |
1308 |
+ |
.DS |
1309 |
+ |
mod specfunc id |
1310 |
+ |
2+ sfunc funcfile transform |
1311 |
+ |
0 |
1312 |
+ |
2+ nmA nmB A3 .. |
1313 |
+ |
.DE |
1314 |
+ |
Like the spectrum primitive, the wavelength range is specified |
1315 |
+ |
in the first two real arguments, and additional real values are |
1316 |
+ |
set in the evaluation context. |
1317 |
+ |
This function is fed a wavelenth sample |
1318 |
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between nmA and nmB as its only argument, |
1319 |
+ |
and it returns the corresponding spectral intensity. |
1320 |
+ |
.LP |
1321 |
+ |
.UL Specdata |
1322 |
+ |
.PP |
1323 |
+ |
Specdata is like brightdata and colordata, but with more |
1324 |
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than 3 specular samples. |
1325 |
+ |
.DS |
1326 |
+ |
mod specdata id |
1327 |
+ |
3+n+ |
1328 |
+ |
func datafile |
1329 |
+ |
funcfile x1 x2 .. xn transform |
1330 |
+ |
0 |
1331 |
+ |
m A1 A2 .. Am |
1332 |
+ |
.DE |
1333 |
+ |
The data file must have one more dimension than the coordinate |
1334 |
+ |
variable count, as this final dimension corresponds to the covered |
1335 |
+ |
spectrum. |
1336 |
+ |
The starting and ending wavelengths are specified in "datafile" |
1337 |
+ |
as well as the number of spectral samples. |
1338 |
+ |
The function "func" will be called with two parameters, the |
1339 |
+ |
interpolated spectral value for the current coordinate and the |
1340 |
+ |
associated wavelength. |
1341 |
+ |
If the spectrum is broken into 12 components, then 12 calls |
1342 |
+ |
will be made to "func" for the relevant ray evaluation. |
1343 |
+ |
.LP |
1344 |
+ |
.UL Specpict |
1345 |
+ |
.PP |
1346 |
+ |
Specpict is a special case of specdata, where the pattern is |
1347 |
+ |
a hyperspectral image stored in the common-exponent file format. |
1348 |
+ |
The dimensions of the image data are determined by the picture |
1349 |
+ |
just as with the colorpict primitive. |
1350 |
+ |
.DS |
1351 |
+ |
mod specpict id |
1352 |
+ |
5+ |
1353 |
+ |
func specfile |
1354 |
+ |
funcfile u v transform |
1355 |
+ |
0 |
1356 |
+ |
m A1 A2 .. Am |
1357 |
+ |
.DE |
1358 |
+ |
The function "func" is called with the interpolated pixel value |
1359 |
+ |
and the wavelength sample in nanometers, the same as specdata, |
1360 |
+ |
with as many calls made as there are components in "specfile". |
1361 |
|
.NH 3 |
1362 |
|
Mixtures |
1363 |
|
.PP |
1364 |
|
A mixture is a blend of one or more materials or textures and patterns. |
1365 |
+ |
Blended materials should not be light source types or virtual source types. |
1366 |
|
The basic types are given below. |
1367 |
|
.LP |
1368 |
|
.UL Mixfunc |
1759 |
|
in Lausanne, Switzerland. |
1760 |
|
.NH 1 |
1761 |
|
References |
1762 |
+ |
.LP |
1763 |
+ |
Ward, Gregory J., Bruno Bueno, David Geisler-Moroder, |
1764 |
+ |
Lars O. Grobe, Jacob C. Jonsson, Eleanor |
1765 |
+ |
S. Lee, Taoning Wang, Helen Rose Wilson, |
1766 |
+ |
``Daylight Simulation Workflows Incorporating |
1767 |
+ |
Measured Bidirectional Scattering Distribution Functions,'' |
1768 |
+ |
.I "Energy & Buildings", |
1769 |
+ |
Vol. 259, No. 111890, 2022. |
1770 |
+ |
.LP |
1771 |
+ |
Wang, Taoning, Gregory Ward, Eleanor Lee, |
1772 |
+ |
``Efficient modeling of optically-complex, non-coplanar |
1773 |
+ |
exterior shading: Validation of matrix algebraic methods,'' |
1774 |
+ |
.I "Energy & Buildings", |
1775 |
+ |
vol. 174, pp. 464-83, Sept. 2018. |
1776 |
+ |
.LP |
1777 |
+ |
Lee, Eleanor S., David Geisler-Moroder, Gregory Ward, |
1778 |
+ |
``Modeling the direct sun component in buildings using matrix |
1779 |
+ |
algebraic approaches: Methods and validation,'' |
1780 |
+ |
.I Solar Energy, |
1781 |
+ |
vol. 160, 15 January 2018, pp 380-395. |
1782 |
+ |
.LP |
1783 |
+ |
Ward, G., M. Kurt & N. Bonneel, |
1784 |
+ |
``Reducing Anisotropic BSDF Measurement to Common Practice,'' |
1785 |
+ |
.I Workshop on Material Appearance Modeling, |
1786 |
+ |
2014. |
1787 |
|
.LP |
1788 |
|
McNeil, A., C.J. Jonsson, D. Appelfeld, G. Ward, E.S. Lee, |
1789 |
|
``A validation of a ray-tracing tool used to generate |