The structure and properties of color spaces and the representation of color images

This lecture describes the author's approach to the representation of color spaces and their use for color image processing. The lecture starts with a precise formulation of the space of physical stimuli (light). The model includes both continuous spectra and monochromatic spectra in the form o...

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Bibliographic Details
Main Author: Dubois, Eric.
Format: Electronic
Language:English
Published: San Rafael, Calif. (1537 Fourth Street, San Rafael, CA 94901 USA) : Morgan & Claypool Publishers, c2010.
Series:Synthesis lectures on image, video, and multimedia processing (Online), # 11.
Subjects:
Online Access:Abstract with links to full text
Table of Contents:
  • 1. Introduction
  • 2. Light: the physical color stimulus
  • Basic radiometric concepts
  • The space of physical stimuli
  • The set P of physical light stimuli
  • Algebraic structure of the set P
  • Embedding of P in a vector space A
  • Metric on A
  • Discrete representation of elements of A
  • 3. The color vector space
  • Introduction
  • Properties of metamerism
  • Extension of metameric properties to A
  • Proofs of propositions and theorems of section 3.3
  • Definition and properties of the color vector space
  • The mapping from A to C: computing tristimulus values
  • Black space and the canonical decomposition of the stimulus space
  • Change of primaries
  • The visual subspace and general color spaces
  • The CIE color spaces
  • Physically realizable colors
  • The cone of physically realizable colors
  • Additive reproduction of colors
  • Indentification of primaries
  • New primaries specified in terms of existing primaries
  • Matrix for transformation of tristimulus values specified
  • Spectral densities of primaries specified
  • Color matching functions of new primaries specified
  • 4. Subspaces and decompositions of the human color space
  • Introduction
  • Luminance and associated decompositions of the color vector space
  • Chromaticity classes
  • Determination of tristimulus values from luminance and chromaticities
  • Additive reproduction of colors revisited
  • Decomposition of color space corresponding to certain color deficiencies.
  • 5. Various color spaces, representations, and transformations
  • Linear color space representations
  • Digital camera color spaces
  • Non-linear color coordinates
  • Perceptually uniform spaces
  • Device-dependent coordinates
  • Transformation between color spaces
  • 6. Signals and systems theory for still and time-varying color images
  • Continuous-domain systems for color images
  • Frequency response and Fourier transform
  • Discrete-domain color images
  • Color signals with all components on the same lattice
  • Color signals with different components on different sampling structures
  • Analysis of color mosaic displays
  • 7. Concluding remarks
  • A. Semigroups and groups
  • B. Equivalence relations
  • C. Vector spaces
  • D. Lattices
  • Bibliography
  • Author's biography.