Lambertian reflectance law in optics

E279125

The Lambertian reflectance law in optics describes an ideal diffuse surface that appears equally bright from all viewing angles because its apparent brightness is proportional to the cosine of the angle between the incident light and the surface normal.

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Predicate Object
instanceOf optics concept
physical law
appliesTo opaque, rough surfaces in the ideal limit
approximation many matte surfaces under certain conditions
assumes no directional dependence of reflectance within the hemisphere
no subsurface scattering effects
surface is perfectly diffuse
surface reflects light equally in all directions of the hemisphere
componentOf Lambertian reflectance model
contrastWith Phong reflection model
specular reflection
coreIdea apparent brightness is independent of viewing direction
radiance is proportional to cosine of incidence angle
definesProperty Lambertian radiance distribution
Lambertian reflectance
describes Lambertian surface
ideal diffuse reflector
field computer graphics
optics
remote sensing
idealizationOf real diffuse surfaces
implies BRDF is independent of viewing direction
bidirectional reflectance distribution function is constant
surface has uniform radiance over viewing directions
involves incident light direction
surface normal
viewing direction
mathematicalForm L = (ρ/π) E cos θ
namedAfter Johann Heinrich Lambert
relatedConcept BRDF
Lambert cosine law
cosine law of illumination
diffuse reflection
relatesQuantity incident angle
irradiance
radiance
states apparent brightness is proportional to cosine of incidence angle
surface appears equally bright from all viewing angles
timePeriod 18th century
usedIn calibration of optical instruments
photometric stereo
radiative transfer modeling
rendering equations
satellite remote sensing reflectance models
shading models in computer graphics
shape from shading
usesAngle angle between incident light and surface normal

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Referenced by (6)

Full triples — surface form annotated when it differs from this entity's canonical label.

Johann Heinrich Lambert knownFor Lambertian reflectance law in optics
Lambertian reflectance law describes Lambertian surface
linked to: Lambertian reflectance law in optics
Lambertian reflectance law componentOf Lambertian reflectance model
linked to: Lambertian reflectance law in optics
Lambertian reflectance law relatedConcept Lambert cosine law
linked to: Lambertian reflectance law in optics
Lambertian reflectance law definesProperty Lambertian reflectance
linked to: Lambertian reflectance law in optics
Yablonovitch limit in light trapping relatedConcept Lambertian surface
linked to: Lambertian reflectance law in optics