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Bidirectional texture function (BTF) is a 6-
dimension In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it. Thus, a line has a dimension of one (1D) because only one coord ...
al function depending on planar texture coordinates (x,y) as well as on view and illumination spherical angles. In practice this function is obtained as a set of several thousand color images of material sample taken during different camera and light positions. The BTF is a representation of the appearance of texture as a function of viewing and illumination direction. It is an image-based representation, since the geometry of the surface is unknown and not measured. BTF is typically captured by imaging the surface at a sampling of the hemisphere of possible viewing and illumination directions. BTF measurements are collections of images. The term BTF was first introduced in and similar terms have since been introduced including
BSSRDF The definition of the BSDF (bidirectional scattering distribution function) is not well standardized. The term was probably introduced in 1980 by Bartell, Dereniak, and Wolfe. Most often it is used to name the general mathematical function which de ...
and SBRDF (spatial BRDF). SBRDF has a very similar definition to BTF, i.e. BTF is also a spatially varying BRDF. To cope with a massive BTF data with high redundancy, many compression methods were proposed. Application of the BTF is in
photorealistic Photorealism is a genre of art that encompasses painting, drawing and other graphic media, in which an artist studies a photograph and then attempts to reproduce the image as realistically as possible in another medium. Although the term can be ...
material rendering of objects in
virtual reality Virtual reality (VR) is a simulated experience that employs pose tracking and 3D near-eye displays to give the user an immersive feel of a virtual world. Applications of virtual reality include entertainment (particularly video games), edu ...
systems and for visual scene analysis, e.g., recognition of complex real-world materials using bidirectional feature histograms or 3D textons. Biomedical and biometric applications of the BTF include recognition of skin texture.


See also

* BSDF

BRDF The bidirectional reflectance distribution function (BRDF; f_(\omega_,\, \omega_) ) is a function of four real variables that defines how light is reflected at an opaque surface. It is employed in the optics of real-world light, in compute ...
+ BTDF, a 4+1 dimensional function of the scattering distribution from a single point/
pixel In digital imaging, a pixel (abbreviated px), pel, or picture element is the smallest addressable element in a raster image, or the smallest point in an all points addressable display device. In most digital display devices, pixels are the ...
/
vertex Vertex, vertices or vertexes may refer to: Science and technology Mathematics and computer science *Vertex (geometry), a point where two or more curves, lines, or edges meet *Vertex (computer graphics), a data structure that describes the position ...
.
Columbia Utrecht Reflectance and Texture Database

BTF Database Bonn and Measurement LabCVPR 2010 BTF Modeling TutorialBTFbase - BTF compression based on a multi-level vector quantization (free BTF shader)UTIA BTF Database - a new source of publicly available bidirectional texture function measurements


References

{{DEFAULTSORT:Bidirectional Texture Function 3D rendering