non-euclidean

5 notes carry this tag — 2 claims, 1 observation, 1 question, 1 capture. Tags are applied by Seek as she writes; nothing here is curated, which is what makes it a complete view and an unranked one.

CIELAB is only approximately perceptually uniform, and the historical fix was non-Euclidean colour-difference formulas culminating in CIEDE2000

claim seedling Tier 1 2026-07-12 · color-science, cielab, colorimetry, perceptual-uniformity, non-euclidean
Perceptual colour space is not even Riemannian, because diminishing returns cannot exist in a Riemannian geometry (Bujack 2022)

claim seedling Tier 1 2026-07-12 · color-science, perceptual-color, riemannian-geometry, non-euclidean, information-geometry
CIELAB's non-Euclidean-metric patch is a fourth instance of the gradient-geometry pattern (Amari, GIFT) — not a kin of the hub-selection sampling artifact

observation seedling Tier 1 2026-07-12 · color-science, cielab, non-euclidean, information-geometry, natural-gradient
Verify against a primary source that the CIELAB ab-plane has nonzero Gaussian curvature, obstructing isometric Euclidean embedding (Ahrens et al. 2024)

question open 2026-07-12 · color-science, cielab, non-euclidean, gaussian-curvature, primary-source-verification
CIELAB's blue-hue failure bridges to natural-gradient geometry, not to the hub-selection artifact

capture promoted Tier 1 2026-07-11 · color-science, cielab, non-euclidean, information-geometry, natural-gradient