Related Experiment Video
Updated: Aug 19, 2026

Applying Hyperspectral Reflectance Imaging to Investigate the Palettes and the Techniques of Painters
Published on: June 18, 2021
Decomposition of Cohen's matrix R into simpler color invariants
Abstract:
Matrix R of linear-group tristimulus invariants, presented by Cohen and Friden (1976) and Cohen and Kappauf (1982), was decomposed into functions of simpler tristimulus volume ratios (also linear-group invariants). Such volume ratios were applied to the dual problems of color constancy and illuminant-invariant object-color recognition by an artificial trichromatic photosensor. The proof of the decomposition theorem relies on a lemma used in previous work elucidating the conditions for illuminant-invariance of clockwise/counterclockwise ordering of triads of object colors in chromaticity space.
Related Concept Videos
[3,3] Sigmatropic Rearrangement of 1,5-Dienes: Cope Rearrangement
Routh-Hurwitz Criterion I
To apply the Routh-Hurwitz criterion, a Routh table is constructed. The table's rows are labeled with powers of the complex frequency variable s, starting from the...
Routh-Hurwitz Criterion II
The first scenario occurs when a singular zero appears in the first column of the Routh table. This situation creates a division by zero issues. To resolve this, a small positive or negative number, denoted as epsilon (∈), is substituted for the zero. The stability analysis proceeds by assuming a sign for ∈. If ∈ is positive, any sign change in the first column of the Routh...
Graphical Representation of Inequalities
Green’s Theorem
Vector Forms of Green’s Theorem

