Abstract

Changing a scene’s illuminant causes the chromatic properties of reflected lights to change. This change in the lights from surfaces provides spectral information about surface reflectances and illuminants. We examine conditions under which these properties may be recovered by using bilinear models. Necessary conditions that follow from comparing the number of equations and the number of unknowns in the recovery procedure are not sufficient for unique recovery. Necessary and sufficient conditions follow from demanding a one-to-one relationship between quantum catch data and sets of lit surfaces. We present an algorithm for determining whether spectral descriptions of lights and surfaces can be recovered uniquely from reflected lights.

© 1993 Optical Society of America

Color constancy. II. Results for two-stage linear recovery of spectral descriptions for lights and surfaces

Michael D’Zmura and Geoffrey Iverson
J. Opt. Soc. Am. A 10(10) 2166-2180 (1993)

Color constancy. III. General linear recovery of spectral descriptions for lights and surfaces

Michael D’Zmura and Geoffrey Iverson
J. Opt. Soc. Am. A 11(9) 2389-2400 (1994)

Color constancy: surface color from changing illumination

Michael D’Zmura
J. Opt. Soc. Am. A 9(3) 490-493 (1992)

Criteria for color constancy in trichromatic bilinear models

Geoffrey Iverson and Michael D’Zmura
J. Opt. Soc. Am. A 11(7) 1970-1975 (1994)

Color constancy: generalized diagonal transforms suffice

Graham D. Finlayson, Mark S. Drew, and Brian V. Funt
J. Opt. Soc. Am. A 11(11) 3011-3019 (1994)