Estimation of illumination characteristics

Author

Lenz, Reiner

Author_Institution

Media Group, Linkoping Univ., Sweden

Volume

10

Issue

7

fYear

2001

fDate

7/1/2001 12:00:00 AM

Firstpage

1031

Lastpage

1038

Abstract

The description of the relation between the one-parameter subgroups of a group and the differential operators in the Lie-algebra of the group is one of the major topics in Lie-theory. We use this framework to derive a partial differential equation which describes the relation between the time-change of the spectral characteristics of the illumination source and the change of the color pixels in an image. We introduce and justify the usage of conical coordinate systems in color space. We also derive the differential equation describing the illumination change and illustrate the algorithm with some simulation examples

Keywords

Lie groups; image colour analysis; lighting; mathematical operators; parameter estimation; partial differential equations; spectral analysis; Lie-algebra; Lie-theory; algorithm; color space; conical coordinate systems; differential operators; group; illumination characteristics estimation; illumination source; image color pixels; one-parameter subgroups; partial differential equation; simulation; spectral characteristics; Differential equations; Image sequences; Layout; Lighting; Parameter estimation; Partial differential equations; Pixel; Polynomials; Reflectivity; Vectors;

fLanguage

English

Journal_Title

Image Processing, IEEE Transactions on

Publisher

ieee

ISSN

1057-7149

Type

jour

DOI

10.1109/83.931097

Filename

931097