Formal connections between lightness algorithms
- 1 October 1986
- journal article
- Published by Optica Publishing Group in Journal of the Optical Society of America A
- Vol. 3 (10), 1684-1693
- https://doi.org/10.1364/josaa.3.001684
Abstract
The computational problem underlying color vision is to recover the invariant surface-spectral-reflectance properties of an object. Lightness algorithms, which recover an approximation to surface reflectance in independent wavelength channels, have been proposed as one method to compute color. This paper clarifies and formalizes the lightness problem by proposing a new formulation of the intensity equation on which lightness algorithms are based and by identifying and discussing two basic subproblems of lightness and color computation: spatial decomposition and spectral normalization of the intensity signal. Several lightness algorithms are reviewed, and a new extension (the multiple-scales algorithm) of one of them is proposed. The main computational result is that each of the lightness algorithms may be derived from a single mathematical formula, under different conditions, which, in turn, imply limitations for the implementation of lightness algorithms by man or machine. In particular, the algorithms share certain limitations on their implementation that follow from the physical constraints imposed on the statement of the problem and the boundary conditions applied in its solution.Keywords
This publication has 13 references indexed in Scilit:
- An alternative technique for the computation of the designator in the retinex theory of color vision.Proceedings of the National Academy of Sciences, 1986
- Color constancy: a method for recovering surface spectral reflectanceJournal of the Optical Society of America A, 1986
- Direction- and Velocity-Specific Responses from beyond the Classical Receptive Field in the Middle Temporal Visual Area (MT)Perception, 1985
- Recent advances in retinex theory and some implications for cortical computations: color vision and the natural image.Proceedings of the National Academy of Sciences, 1983
- Colour coding in the cerebral cortex: The reaction of cells in monkey visual cortex to wavelengths and coloursNeuroscience, 1983
- The distribution of wavelength and orientation selective cells in different areas of monkey visual cortexProceedings of the Royal Society of London. B. Biological Sciences, 1983
- Color vision and image intensities: When are changes material?Biological Cybernetics, 1982
- A Reflectance Model for Computer GraphicsACM Transactions on Graphics, 1982
- Understanding image intensitiesArtificial Intelligence, 1977
- Lightness and Retinex TheoryJournal of the Optical Society of America, 1971