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Bidirectional reflectance distribution function information


Diagram showing vectors used to define the BRDF. All vectors are unit length. points toward the light source. points toward the viewer (camera). is the surface normal.

The bidirectional reflectance distribution function (BRDF), symbol , is a function of four real variables that defines how light from a source is reflected off an opaque surface. It is employed in the optics of real-world light, in computer graphics algorithms, and in computer vision algorithms. The function takes an incoming light direction, , and outgoing direction, (taken in a coordinate system where the surface normal lies along the z-axis), and returns the ratio of reflected radiance exiting along to the irradiance incident on the surface from direction . Each direction is itself parameterized by azimuth angle and zenith angle , therefore the BRDF as a whole is a function of 4 variables. The BRDF has units sr−1, with steradians (sr) being a unit of solid angle.

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Bidirectional reflectance distribution function

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The bidirectional reflectance distribution function (BRDF), symbol f r ( ω i , ω r ) {\displaystyle f_{\text{r}}(\omega _{\text{i}},\,\omega _{\text{r}})}...

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Bidirectional scattering distribution function

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split into the reflected and transmitted components, which are then treated separately as BRDF (bidirectional reflectance distribution function) and BTDF (bidirectional...

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Reflectance

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It is related to the bidirectional reflectance distribution function and its upper limit is 1. Another measure of reflectance, depending only on the...

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Phong reflection model

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normal vectors rather than intensities Gamma correction Bidirectional reflectance distribution function – generalized reflection models Specular highlight...

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Physically based rendering

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photorealism. Feasible and quick approximations of the bidirectional reflectance distribution function and rendering equation are of mathematical importance...

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Albedo

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calculations are based on the bidirectional reflectance distribution function (BRDF), which describes how the reflectance of a given surface depends on...

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Photon mapping

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ends. If the photon reflects, the surface's bidirectional reflectance distribution function is used to determine the ratio of reflected radiance. Finally...

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Bidirectional texture function

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Bidirectional texture function (BTF) is a 6-dimensional function depending on planar texture coordinates (x,y) as well as on view and illumination spherical...

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Helmholtz reciprocity

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affecting the bidirectional reflectance distribution function (BRDF) outcome. If light was measured with a sensor and that light reflected on a material...

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Path tracing

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outgoing directions is the key principle behind the bidirectional reflectance distribution function (BRDF). This direction dependence was a focus of research...

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Rendering equation

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\omega _{\text{o}},\lambda ,t)} is the bidirectional reflectance distribution function, the proportion of light reflected from ω i {\displaystyle \omega _{\text{i}}}...

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PICA200

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instead of per vertex), procedural texture generation, bidirectional reflectance distribution function (BRDF), Cook-Torrance specular highlights, polygon...

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List of common shading algorithms

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illustrations, and include: Cel shading Gooch shading Bidirectional reflectance distribution function Physically based rendering Unbiased rendering Gamma...

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Spectralon

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spectroscopy. For instance, it is used to obtain leaf reflectance and bidirectional reflectance distribution function (BRDF) in the laboratory. It can also be applied...

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Gonioreflectometer

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A gonioreflectometer is a device for measuring a bidirectional reflectance distribution function (BRDF). The device consists of a light source illuminating...

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Photometric stereo

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Spatially Varying Bidirectional Distribution Functions (SVBRDF), Bidirectional surface scattering reflectance distribution functions (BSSRDF), and accounting...

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Anisotropy

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the brains of the individual. Radiance fields (see Bidirectional reflectance distribution function (BRDF)) from a reflective surface are often not isotropic...

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POLDER

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reflected by Earth's atmosphere, including studies of tropospheric aerosols, sea surface reflectance, bidirectional reflectance distribution function...

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Shading

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angle to the camera and material properties (e.g. bidirectional reflectance distribution function) to create a photorealistic effect. Shading is performed...

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Hapke parameters

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integral, and the Bond albedo. Albedo Geometric albedo Bidirectional reflectance distribution function P. Helfenstein; et al. (1996). "Galileo Photometry...

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Glossary of computer graphics

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or collisions).: 819  BRDF Bidirectional reflectance distribution functions (BRDFs), empirical models defining 4D functions for surface shading indexed...

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