Modified Kubelka-Munk equations for localized waves inside a layered medium

Modified Kubelka-Munk equations for localized waves inside a layered medium.

We present a pair of coupled partial differential equations to describe the evolution of the average total intensity and intensity flux of a wave field inside a randomly layered medium. These equations represent a modification of the Kubelka-Munk equations, or radiative transfer. Our modification accounts for wave interference (e.g., localization), which is neglected in radiative transfer. We n...

Kubelka-Munk theory for efficient spectral printer modeling

The Kubelka-Munk Theory of Reflectance

This theory was originally developed for paint films but works quite well in many circumstances for paper. It is not, however, terribly good for dyed papers (or very dark, unbleached papers) when light absorption reaches a high level. A limiting assumption is that the particles making up the layer must be much smaller than the total thickness. Both absorbing and scattering media must be uniform...

Kubelka-Munk equations in vector-matrix forms and the solution for bidirectional vegetative canopy reflectance.

The Kubelka-Munk Theory for Color Image Invariant Properties

A fundamental problem in color image processing is the integration of the physical laws of light reflection into image processing results, the problem known as photometric invariance. The derivation of object properties from color images yields the extraction of geometric and photometric invariants from color images. Photometric invariance is to be derived from the physics of reflection. In thi...