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.\" RCSid "$Id: pabopto2bsdf.1,v 1.9 2021/08/25 04:42:38 greg Exp $" |
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.TH PABOPTO2BSDF 1 2/24/2021 RADIANCE |
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.SH NAME |
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pabopto2bsdf - convert BSDF measurements to a scattering interpolant representation |
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.SH SYNOPSIS |
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.B pabopto2bsdf |
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[ |
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.B \-t |
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][ |
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.B "\-n nproc" |
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][ |
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.B "\-s symmetry" |
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][ |
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.B "\-g angle | 'A'" |
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] |
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.B "meas1 meas2 .." |
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.SH DESCRIPTION |
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.I Pabopto2bsdf |
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takes two or more pab-opto |
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.I Mountain |
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files, each nominally containing |
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different incident beam angles or sampling patterns, |
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and produces a Scattering Interpolant Representation (SIR) |
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on the standard output for further processing. |
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The binary SIR contains a Radial Basis Function fitting |
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each incident BSDF data file |
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and a "transport plan" matrix for each pair of neighboring RBF |
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directions in a spherical Delaunay mesh. |
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.PP |
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The SIR provides a complete 4-dimensional |
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BSDF description that may be resampled for other |
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formats such as Klems and tensor tree. |
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However, a separate run of |
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.I pabopto2bsdf |
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is needed to produce an SIR for each |
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incident and scattered hemisphere pair. |
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At most, there will be 4 such hemisphere pairs for |
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front reflection, back reflection, front transmission, |
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and back transmission. |
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Theoretically, only one transmission direction is required, |
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but it is often safest to measure both if they are to |
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be used in a simulation. |
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(See |
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.I bsdf2klems(1) |
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and |
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.I bsdf2ttree(1) |
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for details. |
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The |
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.I bsdf2rad(1) |
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and |
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.I bsdfview(1) |
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tools are also useful for visualizaing SIR and XML files.) |
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.PP |
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The |
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.I pabopto2bsdf |
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.I \-t |
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option reverses the assumed sample orientation front-to-back, |
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and is discussed below under the "#intheta" header entry. |
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.PP |
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Multi-processing may be used to accelerate the program |
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on systems that support it via the |
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.I \-n |
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option. |
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.PP |
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BSDF symmetry may be specified with the |
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.I \-s |
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option, which is one of "isotropic", "quadrilateral", |
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"bilateral", "up", or "anisotropic". |
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Any of these may be abbreviated with as little as a single |
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letter, and case is ignored. |
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.PP |
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Normally, |
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.I pabopto2bsdf |
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will assume a BSDF symmetry from the incident phi angles provided. |
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If every input data file uses the same incident phi angle, the |
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BSDF is assumed to be "isotropic", or rotationally symmetric. |
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If input phi angles only cover one quarter of the incident hemisphere, |
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then the sample is assumed to have quadrilateral symmetry. |
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Similarly, half-hemisphere coverage implies "bilateral" symmetry, |
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although it is also compatible with "up" symmetry, which must be specified |
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on the command line. |
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The difference is crucial. |
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Similar to quadrilateral symmetry, bilateral symmetry is "mirrored," |
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meaning that the sample material looks identical when viewed in a mirror. |
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However, "up" symmetry means that the sample looks the same when |
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rotated by 180-degree (upside-down), but does not look the same in a mirror. |
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The "up" symmetry was a late addition, and involves rotating and copying the |
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input data, treating the result as anisotropic. |
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It is therefore less efficient, and should only be used when necessary. |
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Finally, if the incident hemisphere is fully covered, the final BSDF |
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is anisotropic. |
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.PP |
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If a |
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.I \-s |
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symmetry option is specified and it does not agree with the input |
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data provided, an error message is issued and no output is produced. |
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Note that only the "up" and "bilateral" symmetry options have |
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identical input coverage, so this is the only time the |
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.I \-s |
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option must be specified if the default mirroring is not appropriate. |
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.PP |
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If a |
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.I \-g |
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option is present, it will cull scattered measurements that are nearer |
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to grazing than the given angle in degrees. |
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If the word "auto" (which can be abbreviated as 'a' or 'A') is given |
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instead of an angle, then the near-grazing angle will be determined |
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by the lowest incident angle measurement present in the input data. |
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This is sometimes necessary to eliminate noise and edge effects that |
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some measurements exhibit near grazing. |
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.PP |
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The |
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.I Mountain |
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program, written by Peter Apian-Bennewitz, stores data taken by |
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his pg2 goniophotometer in separate |
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BSDF scattering files for each incident angle, beginning with a header |
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whose lines each start with a pound sign ('#'). |
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Some header settings require colons and others do not, as indicated below. |
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The |
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.i pabopto2bsdf |
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program understands the following lines from each header and ignores |
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the rest: |
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.TP |
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.BR #sample_name |
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A double-quoted string containing the name associated with this sample. |
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If input files contain different sample names, the final sample name read |
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will be the one passed to the SIR output. |
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.TP |
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.BR #format: |
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The data format, typically one of "theta phi DSF" or "theta phi BSDF". |
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These differ only in their inclusion of a cosine factor. |
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The word "BRDF" or "BTDF" is accepted in place of "BSDF". |
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Any other specification or a format missing generates an error. |
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.TP |
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.BR #intheta |
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The incident theta (polar) angle in degrees, measured from the sample's |
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surface normal. |
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Theta values should be between 0 and 180, where values less than 90 |
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are considered incident to the "front" side of the sample, and |
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theta values greater than 90 are incident to the "back" side in |
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the standard coordinate system. |
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Notions of "front" and "back" may be reversed using the |
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.I -t |
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option if desired. |
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.TP |
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.BR #inphi |
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The incident phi (azimuthal) angle in degrees counter-clockwise as |
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seen from the "front" side of the sample. |
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.TP |
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.BR #incident_angle |
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The incident theta and phi angles are each given in this header |
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line, offered as an alternative to separate "#intheta" and "#inphi" |
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angles. |
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The interpretation is the same as above. |
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.TP |
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.BR #upphi |
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If present, this phi angle that corresponds to |
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the sample "up" orientation. |
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By default, it is assumed to be 0, meaning that "up" |
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is phi=0. |
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To get the standard RADIANCE coordinates for BSDFs, "#upphi" should |
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be set to 90 (degrees). |
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.TP |
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.BR #colorimetry: |
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Two colorimetry values are currently understood: "CIE-Y" and "CIE-XYZ". |
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The default "CIE-Y" colorimetry |
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takes each DSF or BSDF value as photometric. |
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If "CIE-XYZ" is specified, then the DSF or BSDF values must be triplets |
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corresponding to CIE XYZ values. |
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Such files are typically produced by the |
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.I pabopto2xyz(1) |
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tool rather than |
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.I Mountain, |
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directly. |
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.PP |
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The BSDF scattering data follows the header in unspecified order, |
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where each line in the file |
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contains the scattered theta and phi angles measured in the same |
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coordinate system as incident theta and phi, followed by the DSF |
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or BSDF value, which may either be a single photometric quantity |
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for "CIE-Y" colorimetry or a triplet if the colorimetry is "CIE-XYZ". |
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A minimal incident BSDF data file might contain: |
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.sp |
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.nf |
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#incident_angle 82.5 180 |
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#format: theta phi DSF |
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84.968 125.790 0.009744 |
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84.889 125.610 0.007737 |
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84.805 125.427 0.008569 |
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... |
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.fi |
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.sp |
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The above header is equivalent to the more complete version below: |
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.sp |
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.nf |
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#format: theta phi DSF |
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#incident_angle 82.5 180 |
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#intheta 82.5 |
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#inphi 180 |
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#upphi 0 |
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#colorimetry: CIE-Y |
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84.968 125.790 0.009744 |
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84.889 125.610 0.007737 |
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84.805 125.427 0.008569 |
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... |
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.fi |
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.sp |
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The ordering of the header and data lines is unimportant, |
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but all header lines must precede all data lines in each input file. |
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.SH EXAMPLE |
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To generate an SIR file from a collection of transmission measurements |
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of a material with 180-degree symmetry using 4 processes: |
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.IP "" .2i |
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pabopto2bsdf -n 4 -s up f*_Tvis.txt > front_trans.sir |
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.PP |
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To combine this with front reflection measurements into a Klems BSDF file: |
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.IP "" .2i |
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pabopto2bsdf -n 4 -s up f*_Rvis.txt > front_refl.sir |
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.br |
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bsdf2klems front_trans.sir front_refl.sir > Klems_bsdf.xml |
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.SH NOTES |
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If the BSDF is being mirrored and there is no measured theta=0 incident |
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angle data file, this part of the distribution is filled in |
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by a special procedure. |
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This is important because there is no way to extrapolate missing |
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data at normal incidence. |
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.PP |
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The BSDF is extrapolated past the last measured theta angles towards |
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grazing using a constant value plus a single Gaussian lobe if one can |
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be reasonably fit to the near-grazing data. |
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This lobe will always be in the mirror direction in the case of |
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reflection, or the "through" direction in the case |
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of transmission. |
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The magnitude and width of this lobe is stored in the output header, |
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along with the constant value. |
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Both the lobe and the constant are neutral values, even with CIE-XYZ |
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colorimetry. |
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.PP |
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While there is no explicit handling of infrared or solar radiometry, |
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any single-channel BSDF will be created the same, and the final XML |
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file generated by |
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.I bsdf2klems |
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or |
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.I bsdf2ttree |
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can be edited to specify a different radiometry. |
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The interpolation process in |
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.I pabopto2bsdf |
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is not affected by this. |
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.PP |
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The standard BSDF coordinates in RADIANCE have the theta=0 direction |
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corresponding to the front-side surface normal. |
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The phi=0 direction points to the right as seen from the front, and |
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phi=90 degrees corresponds to the "up" orientation for the sample. |
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The same theta and phi are used for incoming and scattered angles, |
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so theta=180 is the opposite side surface normal. |
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This differs from the WINDOW, which use separate |
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coordinate systems for the front and the back. |
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To confusing things further, notions of "front" and "back" are |
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opposite in WINDOW and RADIANCE. |
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In RADIANCE, the normal of a window surface usually faces the |
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interior of a space. |
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.PP |
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In the |
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.I genBSDF(1) |
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utility, the world coordinate system follows trigonometric |
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conventions with theta=0 aligning to the Z-axis, |
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the X-axis matches (theta,phi)=(90,0), and the Y-axis |
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corresponds to (theta,phi)=(90,90). |
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The latter is thought of as the "up" direction for the sample. |
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This usually needs to be rotated into position, since most |
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RADIANCE models use the Z-axis as the world "up" direction. |
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.SH AUTHOR |
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Greg Ward |
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.SH "SEE ALSO" |
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bsdf2klems(1), bsdf2rad(1), bsdf2ttree(1), bsdfview(1), genBSDF(1), |
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pabopto2xyz(1) |