Abstract

The problem is considered of reconstructing, from a measurement of the total radiance distribution on an emitting surface, the radiance distribution that would be observed in the absence of reflected radiation. An explicit solution of the implied inverse problem is derived for the case in which the reflective properties of the surface are given in terms of a bidirectional reflection distribution function. Also considered are the limiting cases of diffuse and specular reflection. Practical considerations are discussed for application of the theory to the nonintrusive and remote measurement of temperatures and pressures on concave surfaces, either by traditional radiometry or by the use of thermographic phosphors and temperature- and pressure-sensitive paints.

© 2001 Optical Society of America

On the relationship between radiance and irradiance: determining the illumination from images of a convex Lambertian object

Ravi Ramamoorthi and Pat Hanrahan
J. Opt. Soc. Am. A 18(10) 2448-2459 (2001)

Detailed analytical approach to the Gaussian surface bidirectional reflectance distribution function specular component applied to the sea surface

Vincent Ross, Denis Dion, and Guy Potvin
J. Opt. Soc. Am. A 22(11) 2442-2453 (2005)

Bidirectional reflectance distribution function of specular surfaces with hemispherical pits

Sylvia C. Pont and Jan J. Koenderink
J. Opt. Soc. Am. A 19(12) 2456-2466 (2002)

Polarimetric bidirectional reflectance distribution function of glossy coatings

Kenneth K. Ellis
J. Opt. Soc. Am. A 13(8) 1758-1762 (1996)

Statistical ray method for deriving reflection models of rough surfaces

Yinlong Sun
J. Opt. Soc. Am. A 24(3) 724-744 (2007)