Applications of set theoretic methods to color systems
- 1 February 1991
- journal article
- research article
- Published by Wiley in Color Research & Application
- Vol. 16 (1) , 31-41
- https://doi.org/10.1002/col.5080160108
Abstract
A vector‐space approach to color systems has been shown to be useful in describing metameric effects and producing metamers under different illuminations. The vector‐space approach has also been used to describe color scanning and reproduction systems. This article extends the applications presented in previous work by introducing set theoretic concepts which allow the addition of realistic constraints. The set theoretic methods allow the full range of solutions of color problems to be explored by allowing a set of solutions to a particular problem formulation. The applications discussed here include producing realizable metamers and the design of scanning filters.Keywords
This publication has 15 references indexed in Scilit:
- Methods for digital restoration of signals degraded by a stochastic impulse responseIEEE Transactions on Acoustics, Speech, and Signal Processing, 1989
- Multiple metamers: Preserving color matches under diverse illuminantsColor Research & Application, 1989
- Calculation of metameric reflectancesColor Research & Application, 1988
- Tomographic image reconstruction using the theory of convex projectionsIEEE Transactions on Medical Imaging, 1988
- Color and color mixture: Scalar and vector fundamentalsColor Research & Application, 1988
- Information recovery in missing angular data cases: an approach by the convex projections method in three dimensionsJournal of Microscopy, 1987
- Color Mixture and Fundamental Metamers: Theory, Algebra, Geometry, ApplicationThe American Journal of Psychology, 1985
- Exact reproduction of colored imagesComputer Vision, Graphics, and Image Processing, 1984
- The feasible solution in signal restorationIEEE Transactions on Acoustics, Speech, and Signal Processing, 1984
- Metameric Color Stimuli, Fundamental Metamers, and Wyszecki's Metameric BlacksThe American Journal of Psychology, 1982